IXL | Divide fractions and mixed numbers: word problems

A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1 1/3 barrels of raisins. How many batches of granola bars did the factory make yesterday?

Simplify your answer and write it as a fraction or as a whole or mixed number.

batches

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Learn with an example

question

An electrician needs 1/5 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 1 3/5 rolls of wire?

Simplify your answer and write it as a fraction or as a whole or mixed number.

rooms

key idea

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

solution

Divide the total amount of wire by the amount needed for each room.

Write

as an improper fraction:

(1 × 5) + 3

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

Cancel common factors, then multiply.

8 × 1

1 × 1

Simplify the answer.

The electrician has enough wire for 8 rooms.

Looking for more? Try these:

Lesson: Dividing fractions and mixed numbers

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Divide fractions and mixed numbers

Multiply and divide fractions

G.12Divide fractions

G.13Divide mixed numbers

Lesson: Dividing fractions and mixed numbers

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