Mathematics

Grade6

Easy

Question

# Simplify

Hint:

### The first step to multiply fractions is to multiply the numerators. The second step is to multiply the denominators. Finally, simplify the fraction obtained to get the result.

## The correct answer is:

### Here, we have to find the product of 3⁄5 and 3⁄8.

We have, 3⁄5 × 3⁄8

= (3×3)⁄(5×8)

= 9⁄40.

hence, the correct option is A.

The factions can also be simplified first before multiplying by factoring out common factors in the numerator and the denominator.

### Related Questions to study

MathematicsVideo

### =

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence, we get

Thus, the correct option is option (a)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence, we get

Thus, the correct option is option (a)

### =

MathematicsGrade6

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence, we get

Thus, the correct option is option (a)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence, we get

Thus, the correct option is option (a)

MathematicsVideo

### =

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 2 in this question.

Hence,

Thus, the correct option is option (c)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 2 in this question.

Hence,

Thus, the correct option is option (c)

### =

MathematicsGrade6

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 2 in this question.

Hence,

Thus, the correct option is option (c)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 2 in this question.

Hence,

Thus, the correct option is option (c)

MathematicsVideo

### George has pan of brownies. He eats of them. The fraction of brownies George ate. is

Step by step solution:

Given,

George had pan of brownies.

The fraction that he ate =

Now, to find the fraction of brownies George had we need to multiply the fraction he ate by the total amount he had.

Therefore, the fraction of brownies George had =

Thus, the correct option is option (d)

Given,

George had pan of brownies.

The fraction that he ate =

Now, to find the fraction of brownies George had we need to multiply the fraction he ate by the total amount he had.

Therefore, the fraction of brownies George had =

Thus, the correct option is option (d)

### George has pan of brownies. He eats of them. The fraction of brownies George ate. is

MathematicsGrade6

Step by step solution:

Given,

George had pan of brownies.

The fraction that he ate =

Now, to find the fraction of brownies George had we need to multiply the fraction he ate by the total amount he had.

Therefore, the fraction of brownies George had =

Thus, the correct option is option (d)

Given,

George had pan of brownies.

The fraction that he ate =

Now, to find the fraction of brownies George had we need to multiply the fraction he ate by the total amount he had.

Therefore, the fraction of brownies George had =

Thus, the correct option is option (d)

MathematicsVideo

### Multiply .

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence,

Thus, the correct option is option (a)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence,

Thus, the correct option is option (a)

### Multiply .

MathematicsGrade6

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence,

Thus, the correct option is option (a)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence,

Thus, the correct option is option (a)

MathematicsVideo

### Multiply .

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 2 in this question.

Hence,

Thus, the correct option is option (a)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 2 in this question.

Hence,

Thus, the correct option is option (a)

### Multiply .

MathematicsGrade6

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 2 in this question.

Hence,

Thus, the correct option is option (a)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 2 in this question.

Hence,

Thus, the correct option is option (a)

MathematicsVideo

### =

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 21 in this question.

Hence, we get

Thus, the correct option is option (d)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 21 in this question.

Hence, we get

Thus, the correct option is option (d)

### =

MathematicsGrade6

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 21 in this question.

Hence, we get

Thus, the correct option is option (d)

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 21 in this question.

Hence, we get

Thus, the correct option is option (d)

MathematicsVideo

### =

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence, we get

Thus, the correct option is option (d)

### =

MathematicsGrade6

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.

Hence, we get

Thus, the correct option is option (d)

MathematicsVideo

### =

Step by step solution:

Required to find:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

Therefore, in the given question,

Thus, the correct option is option (a)

Required to find:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

Therefore, in the given question,

Thus, the correct option is option (a)

### =

MathematicsGrade6

Step by step solution:

Required to find:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

Therefore, in the given question,

Thus, the correct option is option (a)

Required to find:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

Therefore, in the given question,

Thus, the correct option is option (a)

MathematicsVideo

### =

Step by step solution:

Required to find:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

Therefore, in the given question,

Thus, the correct option is option (a)

Required to find:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

Therefore, in the given question,

Thus, the correct option is option (a)

### =

MathematicsGrade6

Required to find:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

Therefore, in the given question,

Thus, the correct option is option (a)

MathematicsVideo

### The way to multiply a fraction by a fraction is

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

For example, if we are asked to find the product of and , the product is simply

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

For example, if we are asked to find the product of and , the product is simply

### The way to multiply a fraction by a fraction is

MathematicsGrade6

Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

For example, if we are asked to find the product of and , the product is simply

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

For example, if we are asked to find the product of and , the product is simply

MathematicsVideo

### Multiply 4.9 × 52.

Step by step solution:

Given two decimal numbers: 4.9 and 52

Now, we need to multiply the two decimal numbers

4.9

x 52

2548 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 254.8 which is the required product of the two numbers.

Thus, option (d) is the correct option.

Given two decimal numbers: 4.9 and 52

Now, we need to multiply the two decimal numbers

4.9

x 52

2548 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 254.8 which is the required product of the two numbers.

Thus, option (d) is the correct option.

### Multiply 4.9 × 52.

MathematicsGrade6

Step by step solution:

Given two decimal numbers: 4.9 and 52

Now, we need to multiply the two decimal numbers

4.9

x 52

2548 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 254.8 which is the required product of the two numbers.

Thus, option (d) is the correct option.

Given two decimal numbers: 4.9 and 52

Now, we need to multiply the two decimal numbers

4.9

x 52

2548 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 254.8 which is the required product of the two numbers.

Thus, option (d) is the correct option.

MathematicsVideo

### Multiply 2.9 × 63.

Step by step solution:

Given two decimal numbers: 2.9 and 63

Now, we need to multiply the two decimal numbers

2.9

x 63

1827 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 182.7 which is the required product of the two numbers.

Thus, option (c) is the correct option.

Given two decimal numbers: 2.9 and 63

Now, we need to multiply the two decimal numbers

2.9

x 63

1827 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 182.7 which is the required product of the two numbers.

Thus, option (c) is the correct option.

### Multiply 2.9 × 63.

MathematicsGrade6

Step by step solution:

Given two decimal numbers: 2.9 and 63

Now, we need to multiply the two decimal numbers

2.9

x 63

1827 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 182.7 which is the required product of the two numbers.

Thus, option (c) is the correct option.

Given two decimal numbers: 2.9 and 63

Now, we need to multiply the two decimal numbers

2.9

x 63

1827 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 182.7 which is the required product of the two numbers.

Thus, option (c) is the correct option.

MathematicsVideo

### Multiply 2.8 × 72.

Step by step solution:

Given two decimal numbers: 2.8 and 72

Now, we need to multiply the two decimal numbers

2.8

x 72

2016 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 201.6 which is the required product of the two numbers.

Thus, option (b) is the correct option.

Given two decimal numbers: 2.8 and 72

Now, we need to multiply the two decimal numbers

2.8

x 72

2016 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 201.6 which is the required product of the two numbers.

Thus, option (b) is the correct option.

### Multiply 2.8 × 72.

MathematicsGrade6

Step by step solution:

Given two decimal numbers: 2.8 and 72

Now, we need to multiply the two decimal numbers

2.8

x 72

2016 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 201.6 which is the required product of the two numbers.

Thus, option (b) is the correct option.

Given two decimal numbers: 2.8 and 72

Now, we need to multiply the two decimal numbers

2.8

x 72

2016 (we got the product by ignoring the decimal point)

Now, we have to place the decimal point after 1 digit from the right, i.e., 201.6 which is the required product of the two numbers.

Thus, option (b) is the correct option.

MathematicsVideo

### Maria bought 3 pounds of ground beef for hamburgers. If the hamburger is sold for $4.19 a pound, calculate the money Maria spent.

Step by step solution:

Given,

Number of pounds of ground beef Maria bought = 3

Price of a pound = $4.19

Now, to find the total number of money Maria spent we need to find the product of the pounds of ground beef she bought and the amount of money for a pound.

Therefore, the money spent by Maria = $ 4.19 x 3

= $ 12.57

Thus, option (a) is the correct option.

Given,

Number of pounds of ground beef Maria bought = 3

Price of a pound = $4.19

Now, to find the total number of money Maria spent we need to find the product of the pounds of ground beef she bought and the amount of money for a pound.

Therefore, the money spent by Maria = $ 4.19 x 3

= $ 12.57

Thus, option (a) is the correct option.

### Maria bought 3 pounds of ground beef for hamburgers. If the hamburger is sold for $4.19 a pound, calculate the money Maria spent.

MathematicsGrade6

Step by step solution:

Given,

Number of pounds of ground beef Maria bought = 3

Price of a pound = $4.19

Now, to find the total number of money Maria spent we need to find the product of the pounds of ground beef she bought and the amount of money for a pound.

Therefore, the money spent by Maria = $ 4.19 x 3

= $ 12.57

Thus, option (a) is the correct option.

Given,

Number of pounds of ground beef Maria bought = 3

Price of a pound = $4.19

Now, to find the total number of money Maria spent we need to find the product of the pounds of ground beef she bought and the amount of money for a pound.

Therefore, the money spent by Maria = $ 4.19 x 3

= $ 12.57

Thus, option (a) is the correct option.

MathematicsVideo

### Taylor earns $8.50 per hour as an auto mechanic. The total money Taylor will earn if she works 4.5 hours on Friday is

Step by step solution:

Given,

Money Taylor earns per hour: $8.50

Number of hours Taylor worked on Friday: 4.5

Now, the total money Taylor will earn on Friday is the product of the money she earns per hour and the number of hours she worked on Friday.

Therefore, the total money Taylor earns on Friday = $ 8.50 x 4.5

= $ 38.25

Hence, total money Taylor will earn if she works 4.5 hours on Friday is $ 38.25. Thus, option (a) is correct.

Given,

Money Taylor earns per hour: $8.50

Number of hours Taylor worked on Friday: 4.5

Now, the total money Taylor will earn on Friday is the product of the money she earns per hour and the number of hours she worked on Friday.

Therefore, the total money Taylor earns on Friday = $ 8.50 x 4.5

= $ 38.25

Hence, total money Taylor will earn if she works 4.5 hours on Friday is $ 38.25. Thus, option (a) is correct.

### Taylor earns $8.50 per hour as an auto mechanic. The total money Taylor will earn if she works 4.5 hours on Friday is

MathematicsGrade6

Step by step solution:

Given,

Money Taylor earns per hour: $8.50

Number of hours Taylor worked on Friday: 4.5

Now, the total money Taylor will earn on Friday is the product of the money she earns per hour and the number of hours she worked on Friday.

Therefore, the total money Taylor earns on Friday = $ 8.50 x 4.5

= $ 38.25

Hence, total money Taylor will earn if she works 4.5 hours on Friday is $ 38.25. Thus, option (a) is correct.

Given,

Money Taylor earns per hour: $8.50

Number of hours Taylor worked on Friday: 4.5

Now, the total money Taylor will earn on Friday is the product of the money she earns per hour and the number of hours she worked on Friday.

Therefore, the total money Taylor earns on Friday = $ 8.50 x 4.5

= $ 38.25

Hence, total money Taylor will earn if she works 4.5 hours on Friday is $ 38.25. Thus, option (a) is correct.