Unit Rates with Fractions (A) - Find Unit Rates

Sep 23, 2026

Unit Rates with Fractions (A) provides practice and an answer key for calculating unit rates. Students use fractions to convert quantities over time or batch size, dividing the given amount by the given time (or rate base) to find a rate in per-hour or equivalent units. A challenge problem has the same method applied to a hiker’s walking speed, then extends it to distance for 2 hours and total time for 412 miles.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Unit rate practice

Questions 1-14

Challenge Problem

Name: Unit Rates with Fractions (A) Directions: Find the unit rate. Show your work. 1. 3 miles in 12 hour → unit rate = 8. 213 gallons in 7 hours → unit rate = 2. $5 for 14 pound → unit rate = 9. ~~ ~~12 mile in 14 hour → unit rate = 3. 8 laps in 23 hour → unit rate = 10. 58 cup in 14 batch → unit rate = 4. 10 cups in 114 hours → unit rate = 11. ~~ ~~56 mile in 16 hour → unit rate = 5. 112 miles in 3 hours → unit rate = 12. 23 lb in 14 hour → unit rate = 6. 412 kg in 3 days → unit rate = 13. 112 miles in 12 hour → unit rate = 7. 223 miles in 4 hours → unit rate = 14. 134 cups in 14 batch → unit rate = 15. Challenge Problem A hiker walks 34 mile every 14 hour. a) What is the unit rate in miles per hour? b) How far will the hiker walk in 2 hours at this rate? c) How long will it take to walk 412 miles? Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) ANSWER KEY Unit Rates with Fractions 1.) 3 miles in 1/2 hour → 3 ÷ 1/2 = 3 × 2 = 6 mph = 6 2.) $5 for 1/4 pound → 5 ÷ 1/4 = 5 × 4 = 20 = 20 3.) 8 laps in 2/3 hour → 8 ÷ 2/3 = 8 × 3/2 = 12 = 12 4.) 10 cups in 1¼ hours → 10 ÷ 5/4 = 10 × 4/5 = 8 = 8 5.) 1½ miles in 3 hours → 3/2 ÷ 3 = 3/2 × 1/3 = 1/2 = 1/2 6.) 4½ kg in 3 days → 9/2 ÷ 3 = 9/2 × 1/3 = 3/2 = 1 1/2 7.) 2⅔ miles in 4 hours → 8/3 ÷ 4 = 8/3 × 1/4 = 2/3 = 2/3 8.) 2⅓ gallons in 7 hours → 7/3 ÷ 7 = 1/3 = 1/3 9.) 1/2 mile in 1/4 hour → 1/2 ÷ 1/4 = 1/2 × 4 = 2 = 2 10.) 5/8 cup in 1/4 batch → 5/8 ÷ 1/4 = 5/8 × 4 = 5/2 = 2 1/2 11.) 5/6 mile in 1/6 hour → 5/6 ÷ 1/6 = 5/6 × 6 = 5 = 5 12.) 2/3 lb in 1/4 hour → 2/3 ÷ 1/4 = 2/3 × 4 = 8/3 = 2 2/3 13.) 1½ miles in ½ hour → 3/2 ÷ 1/2 = 3 = 3 14.) 1¾ cups in ¼ batch → 7/4 ÷ 1/4 = 7 = 7 15.) Challenge Problem: a) 3 miles per hour (3/4 ÷ 1/4 = 3) b) 6 miles (3 × 2 = 6) c) 1½ hours (4½ ÷ 3 = 3/2 = 1½) Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)

FAQs

What units do answers like mph represent?

When the quantities are miles and hours, the unit rate is measured in miles per hour (mph). Other problems use the most appropriate rate units implied by the question (e.g., cups per batch).

How do you solve the challenge problem about the hiker?

First find the unit rate in miles per hour using division of miles by time. Then multiply by 2 hours to get distance, and use division to determine how long it takes to walk 412 miles.

Sep 23, 2026

Uploaded by Riley West