Fraction Division Challenge

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Five-step fraction division problems

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May Medice

Philippines

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Fraction Division Challenge


Fraction Division ChallengeVersion en ligne Five-step fraction division problems par 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. a 3/4 ÷ (1/2) = 3/2 = 1 1/2 servings b 3/4 ÷ (2/1) = 3/8 c (3/4) ÷ (1/2) ÷ 2 = 3/4 d (3/4) ÷ (1/2) = 3/8 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. a (5/6) ÷ (1/3) = 5/3 b (5/6) ÷ (3/1) = 5/18 c (5/6) ÷ (1/3) = 5/18 d (5/6) ÷ (1/3) = (5/6) × (3/1) = 5/2 = 2 1/2 cups 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) a (2 1/3) ÷ (3/4) = 8/9 b (7/3) ÷ (3/4) = 7/12 c (7/3) ÷ (4/3) = 7/4 d (7/3) ÷ (3/4) = (7/3) × (4/3) = 28/9 = 3 1/9 pieces 4 A school fundraiser sells 4/5 of a liter of lemonade in 5 equal cups. How much lemonade is in each cup? a (4/5) ÷ 5 = 4/25 liter b (4/5) × 5 = 4/1 c (4/5) ÷ 5/1 = 4/25 d (4/5) ÷ (1/5) = 4 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) a (3/4) ÷ 8 = 3/32 b (3/4) ÷ (1/8) = 3/64 c (3/4) ÷ (8/1) = 3/32 d (3/4) ÷ (1/8) = (3/4) × 8 = 6 6 Three friends share 2 2/5 meters of fabric equally. How much fabric does each get? a (2 2/5) ÷ 3 = 6/5 b (2 2/5) ÷ 3 = (12/5) ÷ 3 = 12/15 = 4/5 meter c (2 2/5) ÷ 3 = 8/15 d (2 2/5) ÷ 3 = 2/5 7 A bottle contains 7/8 liter. It is poured into 3 equal cups. How much is in each cup? a 7 ÷ (8/3) = 21/8 b (7/8) ÷ (1/3) = 21/8 c (7/8) ÷ 3 = 7/24 liter d (7/8) × 3 = 21/8 8 A class projects 1 3/4 hours of work to be split among 5 groups. How many hours per group? a (7/4) ÷ (5/1) = 7/20 b (7/4) ÷ (1/5) = 35/4 c (7/4) ÷ 5 = 7/20 hours d 7 ÷ (4/5) = 35/20 9 If 9/10 of a liter is shared equally between 2 cups, how much in each? a (9/10) ÷ 2 = 9/20 liter b 9 ÷ (10/2) = 9/5 c (9/10) ÷ 2/1 = 9/20 d (9/10) ÷ (1/2) = 9/5 Feedback 1 Correct: (3/4) ÷ (1/2) = 3/4 × 2 = 3/2 = 1 1/2 servings. Other steps misplace division or invert terms. 2 Correct: multiply by reciprocal. Other options misplace numbers. 3 Correct: multiply by reciprocal correctly. Other results mis-invert or misconvert mixed number. 4 Correct: divide by 5 equals multiplying by 1/5. Others use wrong divisor. 5 Correct: multiply by reciprocal 8. Others misplace numbers. 6 Correct: convert to improper then divide by 3. Others wrong by arithmetic. 7 Correct: divide by 3 equals 7/24. Others invert operation. 8 Correct: dividing by 5 gives 7/20. Others misuse division. 9 Correct: divide by 2. Others incorrectly invert divisor.

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Fraction Division Challenge

Test

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Fraction Division ChallengeVersion en ligne

par May Medice

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.

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.

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

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

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)

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

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

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

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

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