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CCSS 7.RP.A.1 · complex fraction reasoning

Unit Rates with Fractions Worksheet Generator

Practice the Grade 7 step beyond whole-number unit rates: divide one fractional quantity by another and express the exact amount per one unit. The generator keeps every rate rational and simplified instead of converting silently to rounded decimals.

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Unit Rates with Fractions

Unit rates with fractions · Grade 7 standard · Seed 261601

1.

Find the unit rate: 1 1/2 pounds in 1/2 box. How many pounds per 1 box?

Exact division: first quantity ÷ second quantity

2.

Find the unit rate: 1 1/2 miles in 1 3/4 hour. How many miles per 1 hour?

Exact division: first quantity ÷ second quantity

3.

Find the unit rate: 1 1/2 miles in 2/3 hour. How many miles per 1 hour?

Exact division: first quantity ÷ second quantity

4.

Find the unit rate: 3/4 miles in 5/6 hour. How many miles per 1 hour?

Exact division: first quantity ÷ second quantity

5.

Find the unit rate: 1 1/4 miles in 1 3/4 hour. How many miles per 1 hour?

Exact division: first quantity ÷ second quantity

6.

Find the unit rate: 2/3 miles in 1/2 hour. How many miles per 1 hour?

Exact division: first quantity ÷ second quantity

7.

Find the unit rate: 1 1/4 cups in 1 3/4 batch. How many cups per 1 batch?

Exact division: first quantity ÷ second quantity

8.

Find the unit rate: 1/2 cups in 3/4 batch. How many cups per 1 batch?

Exact division: first quantity ÷ second quantity

9.

Find the unit rate: 2/3 miles in 4/5 hour. How many miles per 1 hour?

Exact division: first quantity ÷ second quantity

10.

Find the unit rate: 1 3/4 cups in 5/6 batch. How many cups per 1 batch?

Exact division: first quantity ÷ second quantity

Exact-construction rule: fraction unit rates stay rational, graph coordinates come from known equations, and money applications use integer cents. No answer key depends on a hidden rounding convention.
Teaching note 1

Treat the unit rate as a division problem: first quantity divided by second quantity.

Teaching note 2

Keep units attached so the reciprocal is applied to the correct quantity.

Teaching note 3

Answers stay as simplified fractions or mixed numbers when the exact rate is not a whole number.

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Frequently asked questions

Do these problems include mixed numbers?

Standard and challenge modes include improper fractions that display as mixed numbers, while foundation mode stays with familiar proper fractions.

Are decimal approximations used?

No. The rate is simplified exactly as a rational number.