Rate Complex Fractions and Unit Rates

Aliya hikes for 2 hours and goes a distance of 1¹/₃ miles. What is her rate of speed in miles per hour?

• ²/₃ mph

• 1¹/₂ mph

• 2²/₃ mph

• 3¹/₃mph

Tags

CCSS.7.RP.A.1

Simplify the complex fraction.

• 16/63

• 14/72

• 63/13

• 72/14

Tags

CCSS.5.NF.B.3

Simplify the following complex fraction.

• 1/25

• 25

• 1/4

• 4

While exercising Logan walked 1⁄8 of a mile in 1⁄6 of an hour. At this rate, how far will he have traveled after an hour?

• 1/48 of a mile

• 3/4 of a mile

• 1 mile

• 5/8 of a mile

Tags

CCSS.7.RP.A.1

Simplify the complex fraction.

• 2¹/₃

• 3/7

• 100/21

• 21/100

Tags

CCSS.5.NF.B.3

It takes 3¹/₅ teaspoons of syrup to make 1³/₄ strawberry milkshakes. Hany many teaspoons would you need to make one milkshake?

• 1²⁹/₃₅ teaspoons

• 35/64 teaspoons

• 28/5 teaspoons

• 5/28 teaspoons

Tags

CCSS.7.RP.A.1

One-sixth of a bag of bird seed fills a bird feeder of 1/2 its capacity. How many times will a bag of bird seed completely fill the feeder?

• 2

• 3

• 6

• 12

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

• 9 buses

• 6 buses

• 3 buses

• 1 bus

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her starting point in 1 hour. What was her average rate of speed, in miles per hour, for the entire trip?

Tags

CCSS.7.NS.A.3