Mathematics
Grade6
Easy

Question

The value of 4 ÷ 1 fourth.

  1. 12
  2. 16
  3. 8
  4. 4

Hint:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

The correct answer is: 16


Here, we have to divide 4 by ¼.
We have, 4 ÷ ¼
= 4×4
=16.
Hence, the correct option is B.

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.

Related Questions to study

Grade6
MathematicsVideo

The value of 5 ÷ 1 over 6.

Here, we have to divide 5 by 1⁄6.
We have , 5 ÷ 1⁄6
= 5×6
= 30.
Hence, the correct option is B.

The value of 5 ÷ 1 over 6.

MathematicsGrade6
Here, we have to divide 5 by 1⁄6.
We have , 5 ÷ 1⁄6
= 5×6
= 30.
Hence, the correct option is B.
Grade6
MathematicsVideo

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.

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.

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.

MathematicsGrade6
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.
Grade6
MathematicsVideo

1 over 6 cross times 1 over 7 =

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 over 6 cross times 1 over 7 equals fraction numerator 1 cross times 1 over denominator 6 cross times 7 end fraction equals 1 over 42
Thus, option (a) is the correct option.

1 over 6 cross times 1 over 7 =

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 over 6 cross times 1 over 7 equals fraction numerator 1 cross times 1 over denominator 6 cross times 7 end fraction equals 1 over 42
Thus, option (a) is the correct option.
parallel
Grade6
MathematicsVideo

1 fourth cross times 1 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, 1 fourth cross times 1 over 6 equals fraction numerator 1 cross times 1 over denominator 4 cross times 6 end fraction equals 1 over 24
Thus, option (a) is the correct option.

1 fourth cross times 1 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, 1 fourth cross times 1 over 6 equals fraction numerator 1 cross times 1 over denominator 4 cross times 6 end fraction equals 1 over 24
Thus, option (a) is the correct option.
Grade6
MathematicsVideo

Multiply 5 over 6 cross times 5 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, 5 over 6 cross times 5 over 5 equals fraction numerator 5 cross times 5 over denominator 6 cross times 5 end fraction equals 25 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., 5 in this question.
Hence, we get 25 over 30 equals 5 over 6.
Thus, the correct option is option (a)

Multiply 5 over 6 cross times 5 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, 5 over 6 cross times 5 over 5 equals fraction numerator 5 cross times 5 over denominator 6 cross times 5 end fraction equals 25 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., 5 in this question.
Hence, we get 25 over 30 equals 5 over 6.
Thus, the correct option is option (a)
Grade6
MathematicsVideo

2 over 5 cross times 3 over 7=

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 5 cross times 3 over 7 equals fraction numerator 2 cross times 3 over denominator 5 cross times 7 end fraction equals 6 over 35
Thus, the correct option is option(b).

2 over 5 cross times 3 over 7=

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 5 cross times 3 over 7 equals fraction numerator 2 cross times 3 over denominator 5 cross times 7 end fraction equals 6 over 35
Thus, the correct option is option(b).
parallel
Grade6
MathematicsVideo

7 over 8 cross times 1 half=

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, 7 over 8 cross times 1 half space equals space fraction numerator 7 cross times 1 over denominator 8 cross times 2 end fraction equals 7 over 16
Thus, option (b) is the correct option.

7 over 8 cross times 1 half=

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, 7 over 8 cross times 1 half space equals space fraction numerator 7 cross times 1 over denominator 8 cross times 2 end fraction equals 7 over 16
Thus, option (b) is the correct option.
Grade6
MathematicsVideo

Maria bought 9 over 10 pounds of plums and grapes. The plums were 2 over 3 total weight. The plums’ weight is

Step by step solution:
Given,
total weight of plums and grapes = 9 over 10 pounds
weight fraction of the plums = 2 over 3
Thus, weight of the plums = 2 over 3 o f space 9 over 10
2 over 3 cross times 9 over 10
fraction numerator 2 cross times 9 over denominator 3 cross times 10 end fraction = 18 over 30 = 3 over 5 (in its simplest form)
Thus, the plums' weight is 3 over 5 pounds.
Thus, option (d) is the correct option.

Maria bought 9 over 10 pounds of plums and grapes. The plums were 2 over 3 total weight. The plums’ weight is

MathematicsGrade6
Step by step solution:
Given,
total weight of plums and grapes = 9 over 10 pounds
weight fraction of the plums = 2 over 3
Thus, weight of the plums = 2 over 3 o f space 9 over 10
2 over 3 cross times 9 over 10
fraction numerator 2 cross times 9 over denominator 3 cross times 10 end fraction = 18 over 30 = 3 over 5 (in its simplest form)
Thus, the plums' weight is 3 over 5 pounds.
Thus, option (d) is the correct option.
Grade6
MathematicsVideo

Chloe had 3 over 4 of a pizza left. Addie ate 1 over 6 of Chloe's pizza. The fraction of the pizza Addie ate is

Step by step solution:
Given,
Chloe had 3 over 4of a pizza left.
the fraction of pizza Addie ate from Chloe = 1 over 6
Therefore, the amount of pizza Chloe had = fraction numerator 1 over denominator 6 space end fraction o f space 3 over 4
1 over 6 cross times 3 over 4
fraction numerator 1 cross times 3 over denominator 6 cross times 4 end fraction = 3 over 24
3 over 24 in its simplest form is 1 over 8.
Hence, the fraction of pizza that Addie had is 3 over 24 or 1 over 8.
Hence, option (a) is the correct option.

Chloe had 3 over 4 of a pizza left. Addie ate 1 over 6 of Chloe's pizza. The fraction of the pizza Addie ate is

MathematicsGrade6
Step by step solution:
Given,
Chloe had 3 over 4of a pizza left.
the fraction of pizza Addie ate from Chloe = 1 over 6
Therefore, the amount of pizza Chloe had = fraction numerator 1 over denominator 6 space end fraction o f space 3 over 4
1 over 6 cross times 3 over 4
fraction numerator 1 cross times 3 over denominator 6 cross times 4 end fraction = 3 over 24
3 over 24 in its simplest form is 1 over 8.
Hence, the fraction of pizza that Addie had is 3 over 24 or 1 over 8.
Hence, option (a) is the correct option.
parallel
Grade6
MathematicsVideo

Multiply the following fractions.
4 over 1 cross times 1 fifth

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,
4 over 1 cross times 1 fifth equals fraction numerator 4 cross times 1 over denominator 1 cross times 5 end fraction equals 4 over 5 (answer)
Thus, the correct option is option(a)

Multiply the following fractions.
4 over 1 cross times 1 fifth

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,
4 over 1 cross times 1 fifth equals fraction numerator 4 cross times 1 over denominator 1 cross times 5 end fraction equals 4 over 5 (answer)
Thus, the correct option is option(a)
Grade6
MathematicsVideo

Complete the multiplication sentence.

3 × ? = 3 over 7.

Step by step solution:
Given, 3 cross times space ? space equals 3 over 7
Let us consider the number required to be found as 'x'.
Now, the equation becomes 3 cross times x equals 3 over 7
rightwards double arrow space x space equals space 3 over 7 divided by 3
Now, we all know that in fraction division, we can simply reciprocate the number to the right of the 'divided by' sign and replace the 'divided by' sign with 'x' sign and perform multiplication.
Therefore, x equals 3 over 7 cross times 1 third
rightwards double arrow x equals 1 over 7
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 = 1 over 7 which is the required answer.
Hence, option (d) is the correct option.

Complete the multiplication sentence.

3 × ? = 3 over 7.

MathematicsGrade6
Step by step solution:
Given, 3 cross times space ? space equals 3 over 7
Let us consider the number required to be found as 'x'.
Now, the equation becomes 3 cross times x equals 3 over 7
rightwards double arrow space x space equals space 3 over 7 divided by 3
Now, we all know that in fraction division, we can simply reciprocate the number to the right of the 'divided by' sign and replace the 'divided by' sign with 'x' sign and perform multiplication.
Therefore, x equals 3 over 7 cross times 1 third
rightwards double arrow x equals 1 over 7
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 = 1 over 7 which is the required answer.
Hence, option (d) is the correct option.
Grade6
MathematicsVideo

Choose the correct answer.

Also, consider the multiplication sentence.
2 × ? = 3 over 4.

Choose the correct answer.

Also, consider the multiplication sentence.
2 × ? = 3 over 4.

MathematicsGrade6
parallel
Grade6
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.

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.
Grade6
MathematicsVideo

Name the operation you would use.
The bleachers at a football game are 7 over 8 full, and 1 half 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.

Name the operation you would use.
The bleachers at a football game are 7 over 8 full, and 1 half 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.
Grade6
MathematicsVideo

1 1 fourth cross times 2 3 over 4=

1 1 fourth cross times 2 3 over 4=

MathematicsGrade6
parallel

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