Mathematics
Grade6
Easy

Question

Simplify 3 over 5 cross times 3 over 8

  1. 9 over 40
  2. 3 over 20
  3. 15 over 24
  4. 6 over 13

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: 9 over 40


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

Grade6
MathematicsVideo

3 over 8 cross times 2 over 3=

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, 3 over 8 cross times 2 over 3 equals 6 over 24
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 6 over 24 equals 1 fourth
Thus, the correct option is option (a)

3 over 8 cross times 2 over 3=

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, 3 over 8 cross times 2 over 3 equals 6 over 24
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 6 over 24 equals 1 fourth
Thus, the correct option is option (a)
Grade6
MathematicsVideo

1 half cross times 4 over 5=

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, 1 half cross times 4 over 5 equals fraction numerator 1 cross times 4 over denominator 2 cross times 5 end fraction equals 4 over 10
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, 4 over 10 equals 2 over 5
Thus, the correct option is option (c)

1 half cross times 4 over 5=

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, 1 half cross times 4 over 5 equals fraction numerator 1 cross times 4 over denominator 2 cross times 5 end fraction equals 4 over 10
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, 4 over 10 equals 2 over 5
Thus, the correct option is option (c)
Grade6
MathematicsVideo

George has 1 third pan of brownies. He eats 1 fourth of them. The fraction of brownies George ate. is

Step by step solution:
Given,
George had 1 third pan of brownies.
The fraction that he ate = 1 fourth
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 = 1 fourth cross times 1 third equals 1 over 12
Thus, the correct option is option (d)

George has 1 third pan of brownies. He eats 1 fourth of them. The fraction of brownies George ate. is

MathematicsGrade6
Step by step solution:
Given,
George had 1 third pan of brownies.
The fraction that he ate = 1 fourth
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 = 1 fourth cross times 1 third equals 1 over 12
Thus, the correct option is option (d)
parallel
Grade6
MathematicsVideo

Multiply 2 over 6 cross times 3 over 5 .

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, 2 over 6 cross times 3 over 5 equals fraction numerator 2 cross times 3 over denominator 6 cross times 5 end fraction equals 6 over 30
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, 6 over 30 equals 1 fifth
Thus, the correct option is option (a)

Multiply 2 over 6 cross times 3 over 5 .

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, 2 over 6 cross times 3 over 5 equals fraction numerator 2 cross times 3 over denominator 6 cross times 5 end fraction equals 6 over 30
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, 6 over 30 equals 1 fifth
Thus, the correct option is option (a)
Grade6
MathematicsVideo

Multiply 1 fifth cross times 2 over 10 .

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,  1 fifth cross times 2 over 10 equals 2 over 50
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, 2 over 50 equals 1 over 25
Thus, the correct option is option (a)

Multiply 1 fifth cross times 2 over 10 .

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,  1 fifth cross times 2 over 10 equals 2 over 50
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, 2 over 50 equals 1 over 25
Thus, the correct option is option (a)
Grade6
MathematicsVideo

3 over 7 cross times 7 over 3 =

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, 3 over 7 cross times 7 over 3 equals 21 over 21
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 21 over 21 equals 1
Thus, the correct option is option (d)

3 over 7 cross times 7 over 3 =

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, 3 over 7 cross times 7 over 3 equals 21 over 21
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 21 over 21 equals 1
Thus, the correct option is option (d)
parallel
Grade6
MathematicsVideo

6 over 11 cross times 5 over 6 =


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, 6 over 11 cross times 5 over 6 equals fraction numerator 6 cross times 5 over denominator 11 cross times 6 end fraction equals 30 over 66
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 30 over 66 equals space 5 over 11
Thus, the correct option is option (d)

6 over 11 cross times 5 over 6 =

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, 6 over 11 cross times 5 over 6 equals fraction numerator 6 cross times 5 over denominator 11 cross times 6 end fraction equals 30 over 66
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 30 over 66 equals space 5 over 11
Thus, the correct option is option (d)
Grade6
MathematicsVideo

1 half cross times 3 over 4 =

Step by step solution:
Required to find: 1 half cross times 3 over 4
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,
1 half cross times 3 over 4 equals fraction numerator 1 cross times 3 over denominator 2 cross times 4 end fraction equals 3 over 8
Thus, the correct option is option (a)

1 half cross times 3 over 4 =

MathematicsGrade6
Step by step solution:
Required to find: 1 half cross times 3 over 4
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,
1 half cross times 3 over 4 equals fraction numerator 1 cross times 3 over denominator 2 cross times 4 end fraction equals 3 over 8
Thus, the correct option is option (a)
Grade6
MathematicsVideo

2 over 3 cross times 2 over 3 =

Step by step solution:
Required to find: 2 over 3 cross times 2 over 3
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, 2 over 3 cross times 2 over 3 equals fraction numerator 2 cross times 2 over denominator 3 cross times 3 end fraction equals 4 over 9
Thus, the correct option is option (a)

2 over 3 cross times 2 over 3 =

MathematicsGrade6
Step by step solution:
Required to find: 2 over 3 cross times 2 over 3
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, 2 over 3 cross times 2 over 3 equals fraction numerator 2 cross times 2 over denominator 3 cross times 3 end fraction equals 4 over 9
Thus, the correct option is option (a)
parallel
Grade6
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 2 over 5 and 3 over 7, the product is simply fraction numerator 2 cross times 3 over denominator 5 cross times 7 end fraction equals 6 over 35

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 2 over 5 and 3 over 7, the product is simply fraction numerator 2 cross times 3 over denominator 5 cross times 7 end fraction equals 6 over 35
Grade6
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.

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.
Grade6
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.

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.
parallel
Grade6
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.

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.
Grade6
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.

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.
Grade6
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.

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.
parallel

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