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7th Grade Math (Math 7) · Chapter 3 · Lesson 3.1 · Printable PDF

Unit Rates When the Amounts Are Fractions Worksheet with Answer Key

7 problems on unit rates with fractions: complex fractions, trail map distance, a sloth's speed, a dog's food, a jigsaw puzzle, comparing two rakers, and checking a student's division. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Unit rates when the amounts are fractions worksheet with answer key - 7th Grade Math (Math 7) (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Simplify each complex fraction to lowest terms or a whole number.
    \dfrac{\frac{3}{4}}{\frac{1}{6}}\dfrac{\frac{2}{9}}{\frac{4}{5}}\dfrac{10}{\frac{5}{8}}\dfrac{\frac{6}{7}}{9}\dfrac{1\frac{1}{2}}{\frac{3}{8}}
  2. Word problem: miles represented by inches on a trail map.
  3. Word problem: a sloth's speed climbing a tree.
  4. Word problem: cups of dry food a dog eats each day.
  5. Word problem: Mei's rate of finishing a jigsaw puzzle.
  6. Compare how fast Omar and Grace rake leaves.
  7. Find the mistake in Ryan's pizza dough division.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Unit rates when the amounts are fractions: the lesson ›

More Chapter 3 worksheets: Proportional relationships