Mathematics

Grade6

Easy

Question

# John has 12 gallons of water to fill buckets for field day. If each bucket needs ⅓ of a gallon to fill, find the number of buckets he can fill.

- bucket
- 12 and buckets
- 36 buckets
- 4 buckets

Hint:

### When two fractions are divided, we multiply the first fraction by the reciprocal of the other fraction. The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions.

## The correct answer is: 36 buckets

### Here, it is given that John has 12 gallons of water to fill buckets and each bucket takes 1/3 gallons of water. we have to find the number of buckets that John can fill.

Let the number of buckets that John can fill be x.

Then, x × 1⁄3 = 12

=> x = 12 ÷ 1⁄3

=> x = 12×3

=> x =36.

Hence, John can fill 36 buckets and the correct option is C.

The fractions can also be simplified before multiplying by factoring out common factors in the numerator and 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,

Thus, option (a) is the correct option.

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,

Thus, option (a) is the correct option.

### =

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,

Thus, option (a) is the correct option.

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,

Thus, option (a) is the correct option.

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,

Thus, option (a) is the correct option.

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,

Thus, option (a) is the correct option.

### =

MathematicsGrade6

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,

Thus, option (a) is the correct option.

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., 5 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., 5 in this question.

Hence, we get .

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., 5 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., 5 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,

Thus, the correct option is option(b).

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,

Thus, the correct option is option(b).

### =

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,

Thus, the correct option is option(b).

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,

Thus, the correct option is option(b).

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,

Thus, option (b) is the correct option.

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,

Thus, option (b) is the correct option.

### =

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,

Thus, option (b) is the correct option.

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,

Thus, option (b) is the correct option.

MathematicsVideo

### Maria bought pounds of plums and grapes. The plums were total weight. The plums’ weight is

Step by step solution:

Given,

total weight of plums and grapes = pounds

weight fraction of the plums =

Thus, weight of the plums =

=

= = = (in its simplest form)

Thus, the plums' weight is pounds.

Thus, option (d) is the correct option.

Given,

total weight of plums and grapes = pounds

weight fraction of the plums =

Thus, weight of the plums =

=

= = = (in its simplest form)

Thus, the plums' weight is pounds.

Thus, option (d) is the correct option.

### Maria bought pounds of plums and grapes. The plums were total weight. The plums’ weight is

MathematicsGrade6

Step by step solution:

Given,

total weight of plums and grapes = pounds

weight fraction of the plums =

Thus, weight of the plums =

=

= = = (in its simplest form)

Thus, the plums' weight is pounds.

Thus, option (d) is the correct option.

Given,

total weight of plums and grapes = pounds

weight fraction of the plums =

Thus, weight of the plums =

=

= = = (in its simplest form)

Thus, the plums' weight is pounds.

Thus, option (d) is the correct option.

MathematicsVideo

### Chloe had of a pizza left. Addie ate of Chloe's pizza. The fraction of the pizza Addie ate is

Step by step solution:

Given,

Chloe had of a pizza left.

the fraction of pizza Addie ate from Chloe =

Therefore, the amount of pizza Chloe had =

=

= =

in its simplest form is .

Hence, the fraction of pizza that Addie had is or .

Hence, option (a) is the correct option.

Given,

Chloe had of a pizza left.

the fraction of pizza Addie ate from Chloe =

Therefore, the amount of pizza Chloe had =

=

= =

in its simplest form is .

Hence, the fraction of pizza that Addie had is or .

Hence, option (a) is the correct option.

### Chloe had of a pizza left. Addie ate of Chloe's pizza. The fraction of the pizza Addie ate is

MathematicsGrade6

Step by step solution:

Given,

Chloe had of a pizza left.

the fraction of pizza Addie ate from Chloe =

Therefore, the amount of pizza Chloe had =

=

= =

in its simplest form is .

Hence, the fraction of pizza that Addie had is or .

Hence, option (a) is the correct option.

Given,

Chloe had of a pizza left.

the fraction of pizza Addie ate from Chloe =

Therefore, the amount of pizza Chloe had =

=

= =

in its simplest form is .

Hence, the fraction of pizza that Addie had is or .

Hence, option (a) is the correct option.

MathematicsVideo

### Multiply the following fractions.

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,

(answer)

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,

(answer)

Thus, the correct option is option(a)

### Multiply the following fractions.

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,

(answer)

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,

(answer)

Thus, the correct option is option(a)

MathematicsVideo

### Complete the multiplication sentence.

3 × ? = .

Step by step solution:

Given,

Let us consider the number required to be found as 'x'.

Now, the equation becomes

Now, we all know that in fraction division, we can simply reciprocate the number to the right of the '' sign and replace the '' sign with 'x' sign and perform multiplication.

Therefore,

Here, the 3 in the numerator of the first fraction gets reduced by the 3 in the denominator of the second fraction.

Thus, we get x = which is the required answer.

Hence, option (d) is the correct option.

Given,

Let us consider the number required to be found as 'x'.

Now, the equation becomes

Now, we all know that in fraction division, we can simply reciprocate the number to the right of the '' sign and replace the '' sign with 'x' sign and perform multiplication.

Therefore,

Here, the 3 in the numerator of the first fraction gets reduced by the 3 in the denominator of the second fraction.

Thus, we get x = which is the required answer.

Hence, option (d) is the correct option.

### Complete the multiplication sentence.

3 × ? = .

MathematicsGrade6

Step by step solution:

Given,

Let us consider the number required to be found as 'x'.

Now, the equation becomes

Now, we all know that in fraction division, we can simply reciprocate the number to the right of the '' sign and replace the '' sign with 'x' sign and perform multiplication.

Therefore,

Here, the 3 in the numerator of the first fraction gets reduced by the 3 in the denominator of the second fraction.

Thus, we get x = which is the required answer.

Hence, option (d) is the correct option.

Given,

Let us consider the number required to be found as 'x'.

Now, the equation becomes

Now, we all know that in fraction division, we can simply reciprocate the number to the right of the '' sign and replace the '' sign with 'x' sign and perform multiplication.

Therefore,

Here, the 3 in the numerator of the first fraction gets reduced by the 3 in the denominator of the second fraction.

Thus, we get x = which is the required answer.

Hence, option (d) is the correct option.

MathematicsVideo

### Choose the correct answer.

Also, consider the multiplication sentence.

2 × ? = .

### Choose the correct answer.

Also, consider the multiplication sentence.

2 × ? = .

MathematicsGrade6

MathematicsVideo

### Two-thirds of the students in your class are boys. One-eighth of the boys play soccer. The fraction of the number of boys in your class who play soccer is~~.~~

Here, it is given that 2/3 pf the students in the class are boys and among the boys 1/8 of the boys play soccer. We have to find the fraction of boys who play soccer in the class.

Number of boys who play soccer = 2⁄3 × 1⁄8

= (2×1)⁄(3×8)

= 2⁄24

= 1⁄12.

Hence, the correct option is C.

Number of boys who play soccer = 2⁄3 × 1⁄8

= (2×1)⁄(3×8)

= 2⁄24

= 1⁄12.

Hence, the correct option is C.

### Two-thirds of the students in your class are boys. One-eighth of the boys play soccer. The fraction of the number of boys in your class who play soccer is~~.~~

MathematicsGrade6

Here, it is given that 2/3 pf the students in the class are boys and among the boys 1/8 of the boys play soccer. We have to find the fraction of boys who play soccer in the class.

Number of boys who play soccer = 2⁄3 × 1⁄8

= (2×1)⁄(3×8)

= 2⁄24

= 1⁄12.

Hence, the correct option is C.

Number of boys who play soccer = 2⁄3 × 1⁄8

= (2×1)⁄(3×8)

= 2⁄24

= 1⁄12.

Hence, the correct option is C.

MathematicsVideo

### Name the operation you would use.

The bleachers at a football game are full, and of the fans in the bleachers are rooting for the home team. Select the fraction of the bleachers filled with home-team fans.

We are given that 7/8 of the bleachers in a football game are full and 1/2 of the fans in the bleachers are supporting the home team. We have to find the operations by which we can find the number of fans in the bleachers supporting the home team.

Number of fans who are supporting the home team = 7⁄8 × ½

= 7⁄16.

So, 7/16 of the fans in the bleachers are supporting the home team and we found it by multiplication.

Hence, the correct option is A.

Number of fans who are supporting the home team = 7⁄8 × ½

= 7⁄16.

So, 7/16 of the fans in the bleachers are supporting the home team and we found it by multiplication.

Hence, the correct option is A.

### Name the operation you would use.

The bleachers at a football game are full, and of the fans in the bleachers are rooting for the home team. Select the fraction of the bleachers filled with home-team fans.

MathematicsGrade6

We are given that 7/8 of the bleachers in a football game are full and 1/2 of the fans in the bleachers are supporting the home team. We have to find the operations by which we can find the number of fans in the bleachers supporting the home team.

Number of fans who are supporting the home team = 7⁄8 × ½

= 7⁄16.

So, 7/16 of the fans in the bleachers are supporting the home team and we found it by multiplication.

Hence, the correct option is A.

Number of fans who are supporting the home team = 7⁄8 × ½

= 7⁄16.

So, 7/16 of the fans in the bleachers are supporting the home team and we found it by multiplication.

Hence, the correct option is A.

MathematicsVideo

### =

### =

MathematicsGrade6

Mathematics

### A team of runners is needed to run a -mile relay race. If each runner must run mile. Find the number of runners they need to run the race.

Here, we have to find the number of runners needed to complete a ¼ mile relay race if each runner must run 1⁄16 mile.

Let the number of runners needed be x.

Then, x × 1⁄16 = ¼

=> x = ¼ ÷ 1⁄16

=> x = ¼ × 16

=> x = 4.

So, the number runners needed is 4 and the correct option is A.

Let the number of runners needed be x.

Then, x × 1⁄16 = ¼

=> x = ¼ ÷ 1⁄16

=> x = ¼ × 16

=> x = 4.

So, the number runners needed is 4 and the correct option is A.

### A team of runners is needed to run a -mile relay race. If each runner must run mile. Find the number of runners they need to run the race.

MathematicsGrade6

Here, we have to find the number of runners needed to complete a ¼ mile relay race if each runner must run 1⁄16 mile.

Let the number of runners needed be x.

Then, x × 1⁄16 = ¼

=> x = ¼ ÷ 1⁄16

=> x = ¼ × 16

=> x = 4.

So, the number runners needed is 4 and the correct option is A.

Let the number of runners needed be x.

Then, x × 1⁄16 = ¼

=> x = ¼ ÷ 1⁄16

=> x = ¼ × 16

=> x = 4.

So, the number runners needed is 4 and the correct option is A.

MathematicsVideo

### Multiply .

Here, we have to multiply 2⁄6 and 3⁄5.

We have, 2⁄6 × 3⁄5

= (2×3)⁄(6×5)

= 6⁄30

= 1⁄5.

Hence, the correct option is A.

We have, 2⁄6 × 3⁄5

= (2×3)⁄(6×5)

= 6⁄30

= 1⁄5.

Hence, the correct option is A.

### Multiply .

MathematicsGrade6

Here, we have to multiply 2⁄6 and 3⁄5.

We have, 2⁄6 × 3⁄5

= (2×3)⁄(6×5)

= 6⁄30

= 1⁄5.

Hence, the correct option is A.

We have, 2⁄6 × 3⁄5

= (2×3)⁄(6×5)

= 6⁄30

= 1⁄5.

Hence, the correct option is A.