This grade 7 unit rates fractions worksheet gives 20 problems on unit rates with fractions, ordered from easy to hard, with a separate answer key.
These twenty problems practice finding unit rates when the quantities are fractions, a skill from standard 7.RP.A.1. Divide fractions, work with speeds, prices, recipes and areas, and convert minutes to hours. The problems start with one complex fraction and finish with multi-step word problems. Write each answer with its units.
Grade 7 Unit Rates Fractions Worksheet: problems 1–5
Problem 1: Basic complex fraction
Maya walks \(\frac{1}{2}\) mile in \(\frac{1}{4}\) hour. Find her unit rate in miles per hour.
Problem 2: Snail speed
A snail crawls \(\frac{1}{4}\) foot in \(\frac{1}{2}\) minute. Find its speed in feet per minute.
Problem 3: Chapters per hour
Jamal reads \(\frac{2}{3}\) of a chapter in \(\frac{1}{6}\) hour. How many chapters does he read per hour?
Problem 4: Pages per minute
A printer prints \(\frac{3}{4}\) of a page in \(\frac{1}{8}\) minute. How many pages does it print per minute?
Problem 5: Buckets per minute
A hose fills \(\frac{3}{4}\) of a bucket in \(\frac{1}{2}\) minute. Find the unit rate in buckets per minute.
Grade 7 Unit Rates Fractions Worksheet: problems 6–10
Problem 6: Price of grapes
At the farmers market, \(\frac{5}{6}\) pound of grapes costs $4.50. Find the cost per pound.
Problem 7: Bike speed
Sofia bikes \(\frac{3}{4}\) mile in \(\frac{1}{6}\) hour. Find her speed in miles per hour. Write the answer as a mixed number.
Problem 8: Cups of sugar
A recipe uses \(\frac{5}{6}\) cup of sugar for \(\frac{2}{3}\) of a batch. How much sugar is needed for 1 whole batch?
Problem 9: Cost per pound
At the farmers market, \(\frac{1}{2}\) pound of cheese costs $3.75. Find the cost per pound.
Problem 10: Sealant coverage
A roofer covers \(\frac{5}{6}\) square yard of roof with \(\frac{1}{3}\) gallon of sealant. How many square yards does 1 gallon cover?
Grade 7 Unit Rates Fractions Worksheet: problems 11–15
Problem 11: Different units
Ethan walks \(\frac{1}{2}\) mile in 10 minutes. Find his speed in miles per hour.
Problem 12: Walk in minutes
Priya walks \(\frac{5}{6}\) mile in 20 minutes. Find her speed in miles per hour.
Problem 13: Painting area
A painter covers \(\frac{2}{3}\) square yard of wall using \(\frac{1}{6}\) quart of paint. How many square yards does 1 quart cover?
Problem 14: Better buy
Store A sells \(\frac{2}{3}\) pound of coffee beans for $8.00. Store B sells \(\frac{3}{4}\) pound for $8.25. Find the price per pound at each store. Which store has the lower price, and by how much per pound?
Problem 15: Faster plant
Priya’s bamboo grows \(\frac{3}{8}\) inch in \(\frac{1}{4}\) week. Her neighbor’s bamboo grows \(\frac{5}{6}\) inch in \(\frac{1}{2}\) week. Which plant grows faster, and by how many inches per week?
Grade 7 Unit Rates Fractions Worksheet: problems 16–20
Problem 16: Garden hose
A sprinkler delivers \(1\frac{1}{2}\) gallons of water in \(\frac{2}{5}\) minute. (a) Find the flow rate in gallons per minute. (b) How many gallons flow in 8 minutes?
Problem 17: Gas mileage
Diego’s car travels \(7\frac{1}{2}\) miles on \(\frac{1}{4}\) gallon of gas. (a) Find the miles per gallon. (b) How far can the car go on 12 gallons?
Problem 18: Book club
Jamal reads \(\frac{3}{4}\) of a chapter in \(\frac{1}{2}\) hour. (a) How many chapters does he read per hour? (b) At this rate, how many hours does he need to read a book with 12 chapters?
Problem 19: Muffin batches
Mei’s muffin recipe uses \(\frac{3}{4}\) cup of oil for \(\frac{1}{2}\) of a batch. (a) How much oil is needed for 1 whole batch? (b) How much oil is needed for \(2\frac{1}{2}\) batches?
Problem 20: Scooter battery
Ethan’s electric scooter uses \(\frac{1}{5}\) of its battery to travel \(3\frac{3}{4}\) miles. (a) How many miles can it travel on a full battery? (b) How far can it travel on \(\frac{3}{5}\) of the battery?
How to use this grade 7 unit rates fractions worksheet
Print this grade 7 unit rates fractions worksheet as a PDF, solve every problem on paper, then compare with the answer key.
See every chapter on the Grade 7 math page.
