Grade 6 · Math

6th grade Divide mixed numbers; fraction division word problems worksheet

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Divide mixed numbers; fraction division word problems

Grade 6 Math Worksheet

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Circle the best answer, or write your answer on the line.

Milo wraps gifts with a ribbon 3 1/2 m long. One bow uses 1 1/4 m. How many bows' worth of ribbon is that?
Noah's log is 2 1/4 m long, and the sawdust goes everywhere. One shelf piece is 1 1/2 m long. How many shelf pieces long is the log?
Pia ties hanging baskets with a cord 4 2/3 m long. One basket needs 1 1/2 m. How many baskets' worth of cord is that?
Tala's bag has 5 1/2 kg of flour, and the oven is already hot. One batch of bread uses 1 1/4 kg. How many batches' worth of flour is that?
Zee cuts fence rail from a log 7 1/2 m long. One section uses 1 2/3 m. How many sections' worth of rail is that?
Bo's roll of ribbon is 3 1/2 m long. One gift bow uses 3/4 m. How many bows' worth of ribbon is that?
Esme's log is 2 1/4 m long. Each stair-edge piece is 3/8 m long. How many pieces can Esme cut?
Kira's roll of paper is 6 m long. Each banner needs 1 1/2 m. How many banners can Kira cut?
Luz's yarn is 4 m long. Each tassel needs 1 2/3 m. How many tassels' worth of yarn is that?
Milo's roll of fabric is 3 m long. One shirt needs 1 1/4 m. How many shirts' worth of fabric is that?

6th grade Divide mixed numbers; fraction division word problems worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Dividing mixed numbers and fraction word problems. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can turn a mixed number into pieces and show how many groups fit on a tape.
I can divide a mixed number or a whole number by a mixed number, and check by multiplying back.
I can tell when the answer is part of a group, and write it as a fraction of one group.

Standard: 6.NS.A.1

Words to know

mixed number: A whole number and a fraction together, like 1 1/2.

tape diagram: A bar cut into equal units to show an amount.

unit: One equal piece of the tape. All units on a tape are the same size.

group: A piece of one set size. We count how many groups fit.

part of a group: A leftover that is only part of one full group.

Common mistakes

Your child multiplied the two numbers when the question asked how many pieces fit. Try it with a measuring jug: ask how many 1/2-liter bottles you can fill from a 2-liter jug.

Your child flipped the first number instead of the one after the ÷ sign, which divides the two amounts the wrong way round.

Your child divided the whole numbers and the fractions separately, as if each mixed number were two amounts. Try changing each mixed number to one fraction first: 1 1/2 is 3 halves.

What to say

Ask: which amount is being cut up, and which amount is the size of one piece?

Questions parents ask

What is the most common mistake with divide mixed numbers; fraction division word problems?

Your child multiplied the two numbers when the question asked how many pieces fit. Try it with a measuring jug: ask how many 1/2-liter bottles you can fill from a 2-liter jug.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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