Dividing Fractions

Front

What is the reciprocal of 3/4?

Back

4/3

Answer explanation

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For 3/4, the reciprocal is 4/3, which is the correct answer. The other options do not represent the reciprocal.

Front

What is the reciprocal of 2?

Back

1/2

Answer explanation

The reciprocal of a number is 1 divided by that number. For 2, the reciprocal is 1/2. Therefore, the correct answer is 1/2.

Front

Avery has 7/8 of a chocolate bar. She wants to share it equally among 4 friends. How much chocolate does each friend get?

Back

7/32

Answer explanation

To divide 7/8 by 4, convert 4 to a fraction (4/1) and multiply by the reciprocal: 7/8 ÷ 4/1 = 7/8 × 1/4 = 7/32. Thus, the correct answer is 7/32.

Front

Mia has 1/3 of a chocolate bar. She wants to share it equally among friends, giving each friend 1/2 of a chocolate bar. How many friends can she serve?

Back

2/3

Answer explanation

To divide fractions, multiply by the reciprocal. So, 1/3 ÷ 1/2 becomes 1/3 × 2/1 = 2/3. Thus, the correct answer is 2/3.

Front

Kai has 8 chocolate bars. He wants to share them equally among friends, giving each friend 1/3 of a chocolate bar. How many friends can Kai share the chocolate bars with?

Back

24

Answer explanation

To divide by a fraction, multiply by its reciprocal. Thus, 8 ÷ 1/3 is the same as 8 × 3/1, which equals 24. Therefore, the correct answer is 24.

Front

Mia has 3 liters of juice. She wants to pour the juice equally into containers, each holding 2/5 of a liter. How many containers can she fill?

Back

7  1/2

Answer explanation

To divide by a fraction, multiply by its reciprocal. Thus, 3 ÷ (2/5) = 3 × (5/2) = 15/2, which equals 7 1/2. Therefore, the correct answer is 7 1/2.

Front

Phoebe spends equal amounts of time on homework of each subject. She spends 1 hour on her homework. If Phoebe spends 1/4 and hour on French, How many subjects does she have?

Back

4 subjects

Answer explanation

Phoebe spends 1 hour total on homework. If she spends 1/4 hour on French, that leaves 3/4 hour for other subjects. Since she spends equal time on each subject, and 1/4 hour is for French, she has 4 subjects in total.

Front

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

Back

5/24

Answer explanation

To find out how much pie each person gets, divide 5/6 by 4. This is the same as multiplying by the reciprocal: 5/6 * 1/4 = 5/24. Therefore, each person gets 5/24 of a pie.

Front

Mia has 5/3 of a liter of juice. She wants to pour it equally into containers, each holding 15/7 of a liter. How many containers can she fill?

Back

7/9

Answer explanation

To divide fractions, multiply by the reciprocal. Thus, 5/3 ÷ 15/7 becomes 5/3 × 7/15. This simplifies to (5×7)/(3×15) = 35/45, which reduces to 7/9. Therefore, the correct answer is 7/9.

Front

Aria has 2 2/3 meters of ribbon. She wants to cut pieces that are each 2/5 meter long. How many pieces can she cut?

Back

6 2/3

Answer explanation

To divide 2 2/3 by 2/5, convert 2 2/3 to an improper fraction: 8/3. Then, multiply by the reciprocal of 2/5: 8/3 * 5/2 = 40/6, which simplifies to 6 2/3. Thus, the correct answer is 6 2/3.