Grade 6 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Divide mixed numbers; fraction division word problems

Grade 6 Math Worksheet - Building Confidence

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

Kira's log is 7 1/2 m. Each fence section is 1 1/2 m. Each tape unit is 1/2 m: the log is 15 units and one section is 3. How many sections can Kira make?
Milo's row is 5 1/4 m long. Each tree needs 1 3/4 m. Each tape unit is 1/4 m: the row is 21 units and one tree is 7. How many trees fit?
Pia's fabric roll is 7 1/2 m. Each dress needs 2 1/2 m. Each tape unit is 1/2 m: the roll is 15 units and one dress is 5. How many dresses can Pia make?
Ren's cord is 6 2/3 m. Each hanging plant needs 1 1/3 m. Each tape unit is 1/3 m: the cord is 20 units and one plant is 4. How many plants can Ren hang?
Tala's wall is 8 3/4 m long. Each table is 1 1/4 m wide. Each tape unit is 1/4 m: the wall is 35 units and one table is 5. How many tables fit?
Zee's trail is 8 3/4 km. Each morning's walk is 1 3/4 km. Each tape unit is 1/4 km: the trail is 35 units and a walk is 7. How many mornings is that?
Esme's card strip is 1 1/3 m long. Each bookmark is 1/6 m long. The tape is cut into units of 1/6 m. How many bookmarks can Esme cut?
Jun's bag holds 1 3/4 kg of flour. Each loaf of bread uses 1/4 kg. The tape is cut into units of 1/4 kg. How many loaves can Jun bake?
Kira's tin holds 1 2/3 L of paint. Each small pot holds 1/3 L. The tape is cut into units of 1/3 L. How many pots can Kira fill?
Luz's sack holds 2 2/3 kg of potting soil. Each seedling pot takes 1/3 kg. The tape is cut into units of 1/3 kg. How many pots can Luz fill?

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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