IXL | Divide fractions and mixed numbers: word problems

Garrett bought some cans of paint and 3/4 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 1/4 of a liter of additive in each can. How many cans of paint did Garrett buy?

Write your answer as a fraction or as a whole or mixed number.

cans

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question

A diamond merchant received a shipment of 5/6 of a pound of diamonds. He divided the diamonds into 5 equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot?

Write your answer as a fraction or as a whole or mixed number.

pounds

key idea

Write mixed numbers and whole numbers as improper fractions. Multiply by the reciprocal of the divisor.

solution

Divide the total weight of diamonds by the number of lots.

Write

as an improper fraction:

Turn this from a division problem into a multiplication problem by multiplying by the reciprocal.

Cancel common factors, then multiply.

1 × 1

6 × 1

Each lot of diamonds weighed 1/6 of a pound.

Looking for more? Try these:

Lesson: Dividing fractions and mixed numbers

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Not feeling ready yet? These can help:

G.13Divide mixed numbers

G.10Multiply fractions and mixed numbers: word problems

J.4Division facts to 12: word problems

Lesson: Dividing fractions and mixed numbers

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