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 - Challenge Me

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

A wall needs 2 1/2 L of paint. Pia has 5/6 L. What fraction of the wall can Pia paint?
A lawn patch needs 2 1/4 kg of grass seed. Tala has 9/10 kg. What fraction of the patch can Tala seed?
A fence needs 3 3/4 L of paint. Zee has 2 1/4 L. What fraction of the fence can Zee paint?
A dress needs 2 2/3 m of fabric. Ari has 1 2/3 m. What fraction of the dress can Ari make?
A roll of fabric is 5 7/10 m long. Esme cuts off 1/2 m for a sample. One shirt uses 1 1/5 m. How many shirts' worth of fabric is left?
Jun's class hikes for 6 1/3 hours in all, including a 1/2 hour lunch break. Each leg of the trail takes 1 1/4 hours. How many legs' worth of walking is that?
A roll of cloth is 7 1/8 m long. Kira cuts off 3/4 m for a flag. One table runner uses 1 7/8 m. How many runners' worth of cloth is left?
Luz's paper strip is 1 1/2 m wide and has an area of 3 3/8 square meters. How long is it, in meters?
Milo's tent floor is 2 1/2 m wide and has an area of 8 1/8 square meters. How long is it, in meters?
Noah's roll of paper is 1 1/4 m wide and has an area of 4 3/8 square meters. How long is it, in meters?

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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