Unit Rates with Fractions Worksheets, Grade 7 (7.RP.A.1) – Free PDF + Answer Key

$First page of the unit rates with fractions practice worksheet$ Open the practice worksheet

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PDFs print on US Letter paper. Free for classroom and home use.

Step-by-step math videos on the Math With Mr DJ YouTube channel →

Key idea

Unit rate = amount ÷ number of units. Dividing by a fraction less than 1 makes the answer bigger; dividing by a fraction bigger than 1 makes it smaller. Use that as your check before you write anything down.

Sample problems

⅓ mile in ₁⁄₉ hour. Miles per hour?
½ cup per ⅛ serving. Cups per serving?
⅕ km in ₃⁄₁₀ hour. Km per hour?
⁵⁄₆ litre in ⅓ minute. Litres per minute?

Common mistakes to watch for

Answered ⅛ by multiplying instead of dividing. The sense check catches it instantly — ⅛ is smaller than the half mile already run.
Answered ⃗ by multiplying. A whole batch needs more flour than half a batch, not less.
Answered ₁⁄₉ by multiplying the fractions.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes), or watch the video together.
Practice with the worksheet. Questions climb from fluency to application to reasoning.
Check understanding with the exit ticket, and send the homework home.
Mark with the answer key — each answer shows the steps and the most likely mistake.