Unit rates with fractions

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Zee walks 4/5 mile in 3/10 hour on a nature trail. What is the unit rate, in miles per hour?

   2 2/3
2. 2.

   Jun's sink fills with 5/6 gallon of water in 3/4 minute while the radio plays. What is the unit rate, in gallons per minute?

   1 1/9

3. Read this first

   Ratio table

   minutes	cups of water
   15	1/8
   60	?

   With 60 minutes in 1 hour.

4. 3.

   A slow circle drips 1/8 cup of water into Noah's bucket in 15 minutes. There are 60 minutes in 1 hour. How many cups of water per hour is that?

   1/2
5. 4.

   A roof drip fills a cup in Ren's shed with 1/4 cup of water in 45 minutes. There are 60 minutes in 1 hour. How many cups of water per hour is that?

   1/3
6. 5.

   Row 1 | ?, row 3/4 | ? Pia bikes 3 miles in 1/4 hour at a steady speed. At the same speed, how many miles does Pia bike in 3/4 hour?

   9
7. 6.

   Row 1 | ?, row 2/3 | ? Esme's school printer prints 9 pages in 1/3 minute. At the same speed, how many pages does it print in 2/3 minute?

   18
8. 7.

   Row 1 | ?, row 5 | ? Snow falls steadily on Milo's snowman: 1/2 inch in 2/3 hour. At the same rate, how many inches of snow fall in 5 hours?

   3 3/4
9. 8.

   Row 1 | ?, row 2 | ? Tala catches 1/3 cup of water from a drip in 3/4 hour. At the same rate, how many cups of water drip in 2 hours?

   8/9
10. 9.

    Kira checks two leaky faucets. Faucet A drips 1/2 cup in 3/4 hour. Faucet B drips 1/3 cup in 1/3 hour. Which faucet drips faster?

    • They are the same
    • Faucet B
    • Faucet A
11. 10.

    Noah times two scooters. Scooter A goes 1/2 mile in 1/12 hour. Scooter B goes 3/5 mile in 1/6 hour. Which scooter is faster?

    • Scooter A
    • Scooter B
    • They are the same