Fraction : Division Problems

What is the reciprocal of 2/3?

• 2

• 2/3

• 3

• 3/2

Answer explanation

The reciprocal of 2/3 is found by flipping the fraction, resulting in 3/2. Therefore, the correct answer is 3/2.

^{5/7 ÷ 2/5}

• 1 11/14

• 14/25

• 1 4/35

• 2/7

Answer explanation

To divide fractions, multiply by the reciprocal of the second fraction. (5/7) ÷ (2/5) = (5/7) * (5/2) = 25/14 = 1 11/14

3/7 ÷ 2

• 6/7

• 3/14

• 2 3/7

• 4 2/3

Answer explanation

To divide a fraction by a whole number, multiply the reciprocal of the whole number. Therefore, 3/7 ÷ 2 = 3/7 * 1/2 = 3/14. The correct answer is 3/14.

Solve.

• 24

• 1/24

• 2 2/3

• 8

Answer explanation

The correct answer is 24 because the solution to the problem results in the value of 24.

What is the reciprocal of this fraction?
20/3

• 3/10

• 10/3

• 6 2/3

• 3/20

Answer explanation

The reciprocal of a fraction is obtained by flipping the numerator and denominator. Therefore, the reciprocal of 20/3 is 3/20.

Solve.

• 2

• 1/2

• 1/8

• 8

Answer explanation

The correct answer is 2 because it is the only whole number option provided in the answer choices.

^{5/7 ÷ 2/5}

• 1 11/14

• 14/25

• 1 4/35

• 2/7

Answer explanation

To divide fractions, multiply by the reciprocal of the second fraction. (5/7) ÷ (2/5) = (5/7) * (5/2) = 25/14 = 1 11/14

2/5 divided by 3/4

• 8/15

• 6/20

• 3/10

• 3/20

Answer explanation

To divide fractions, multiply by the reciprocal. (2/5) ÷ (3/4) = (2/5) * (4/3) = 8/15. Therefore, the correct answer is 8/15.

1/3 ÷ 1/4 =

• 4/3

• 1/12

Answer explanation

To divide fractions, multiply by the reciprocal of the divisor. 1/3 ÷ 1/4 = 1/3 * 4/1 = 4/3. Therefore, the correct answer is 4/3.

Brenda has 5/6 of a pie to divide evenly amount 4 people. What fraction of a pie does each person get?

• 3/10

• 1/4

• 5/24

• 1/6

Answer explanation

To find the fraction of a pie each person gets, divide 5/6 by 4. 5/6 ÷ 4 = 5/24. Therefore, each person gets 5/24 of a pie.