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Worksheets›Grade 6›Number system›Fraction division word problems

Fraction Division Word Problems Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 6CCSS 6.NS.A.1Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: How many groups? A whole number divided by a fraction

  1. 1.How many 14−cup\frac{1}{4}-\mathrm{cup}41​−cup servings are in 12\frac{1}{2}21​ cups of rice?
  2. 2.How many 14−cup\frac{1}{4}-\mathrm{cup}41​−cup servings are in 2342\frac{3}{4}243​ cups of rice?
  3. 3.How many 13−cup\frac{1}{3}-\mathrm{cup}31​−cup servings are in 2232\frac{2}{3}232​ cups of rice?
  4. 4.How many 34−cup\frac{3}{4}-\mathrm{cup}43​−cup servings are in 1121\frac{1}{2}121​ cups of rice?
  5. 5.How many 23−cup\frac{2}{3}-\mathrm{cup}32​−cup servings are in 888 cups of rice?
  6. 6.A trail is 1251\frac{2}{5}152​ km long. A marker is placed every 15\frac{1}{5}51​ km. How many equal sections does the trail have?
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Division answers three kinds of question: how many groups of a size fit, what fraction of a group you have, and how much is in one group. Each one is the same division: multiply by the reciprocal of the divisor.

EasyHow many 12−cup\frac{1}{2}-\mathrm{cup}21​−cup servings are in 666 cups of rice?How many groups? A whole number divided by a fractionMedium15\frac{1}{5}51​ pounds of nuts are shared equally among 333 bags. How many pounds go in each bag?What fraction of a group, and sharing among whole groupsHardA trail is 111411\frac{1}{4}1141​ km long. A marker is placed every 34\frac{3}{4}43​ km. How many equal sections does the trail have?How much in a whole group, with fractions and mixed numbers

How to solve it: a worked example

Write a division for each problem and solve it.

  1. StartA trail is 1341\frac{3}{4}143​ km long. A marker is placed every 14\frac{1}{4}41​ km. How many equal sections does the trail have?
  2. Write a division1341\frac{3}{4}143​ ÷\div ÷ 14\frac{1}{4}41​
  3. Multiply by the reciprocal74\frac{7}{4}47​ ×\times × 444 === 777
  4. Answer777

Common mistakes to watch for

  • Dividing in the wrong order, such as 3/4 ÷ 6 instead of 6 ÷ 3/4.
  • Multiplying by the reciprocal of the first number instead of the divisor.
  • Leaving an improper fraction where a mixed number reads more naturally.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Dividing fractionsAdding & subtracting decimalsMultiplying decimalsDividing decimalsGreatest common factor

FAQ

How many 3/4-cup servings are in 6 cups?

Count the groups of 3/4 in 6: 6 ÷ 3/4 = 6 × 4/3 = 8 servings.

2/3 pound of trail mix fills 1/2 of a bag. How much fills the whole bag?

If 1/2 of a bag holds 2/3 pound, a whole bag holds 2/3 ÷ 1/2 = 2/3 × 2 = 4/3 = 1 1/3 pounds.

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix fraction division word problems with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.