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Fraction Division Challenge

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Fraction Division Challenge

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About this activity

Five-step fraction division problems

Created by

May Medice
May Medice
Philippines

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Fraction Division Challenge
 

Fraction Division ChallengeOnline version

Five-step fraction division problems

by May Medice
1

A recipe uses 3/4 cup sugar for 2 batches. How many cups per batch? Then divide by 1/2 cup per serving to find servings per batch.

2

If 5/6 of a liter is poured into equal cups and each cup holds 1/3 liter, how many cups are filled? Show the division and simplification.

3

A ribbon 2 1/3 meters long is cut into pieces of length 3/4 meter. How many pieces can be cut? (Ignore waste)

4

A school fundraiser sells 4/5 of a liter of lemonade in 5 equal cups. How much lemonade is in each cup?

5

If a pizza of diameter 1 is cut into slices of area 1/8 of the whole, how many such slices fit into a 3/4 pizza? (fractional areas multiply)

6

Three friends share 2 2/5 meters of fabric equally. How much fabric does each get?

7

A bottle contains 7/8 liter. It is poured into 3 equal cups. How much is in each cup?

8

A class projects 1 3/4 hours of work to be split among 5 groups. How many hours per group?

9

If 9/10 of a liter is shared equally between 2 cups, how much in each?

Feedback

Correct: (3/4) ÷ (1/2) = 3/4 × 2 = 3/2 = 1 1/2 servings. Other steps misplace division or invert terms.

Correct: multiply by reciprocal. Other options misplace numbers.

Correct: multiply by reciprocal correctly. Other results mis-invert or misconvert mixed number.

Correct: divide by 5 equals multiplying by 1/5. Others use wrong divisor.

Correct: multiply by reciprocal 8. Others misplace numbers.

Correct: convert to improper then divide by 3. Others wrong by arithmetic.

Correct: divide by 3 equals 7/24. Others invert operation.

Correct: dividing by 5 gives 7/20. Others misuse division.

Correct: divide by 2. Others incorrectly invert divisor.

 
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