Unit Rate/Complex Fraction

Isaac walks  $\frac{6}{10}$  of a mile in  $\frac{1}{5}$  of an hour. If Isaac's walking rate remains constant, what is Isaac's walking rate in miles per hour?

• 3 miles per hour

• 4 miles per hour

• 5 miles per hour

• 6 miles per hour

A  $2\ \frac{1}{2}$  pound bag of grass seed covers  $\frac{1}{8}$  of an acre. How much grass seed is needed for 1 acre?

• 12 pounds

• 14 pounds

• 16 pounds

• 20 pounds

Jamal runs for a track team. He ran $2\ \frac{1}{10}$  miles in  $\frac{1}{3}$  of an hour. What was Jamal's rate of speed?

•  $1\ \frac{1}{30}$  miles per hour

•  $2\ \frac{1}{7}$  miles per hour

•  $3\ \frac{1}{13}$  miles per hour

•  $6\ \frac{3}{10}$  miles per hour

Mr. Rogers needs fertilizer for his 1-acre garden. The package suggest  $\frac{1}{2}$  pound of fertilizer for  $\frac{1}{45}$  of an acre. How many pounds of fertilizer does Mr. Rogers need for his entire garden?

•  $11\ \frac{1}{4}$  

•  $22\ \frac{1}{2}$  

•  $45$  

•  $90$  

Susan walked  $1\ \frac{2}{3}$  miles in  $1\ \frac{1}{4}$  hours. How many miles can Susan walk in 1 hour?

•  $\frac{2}{5}$  

• 1

•  $1\ \frac{1}{3}$  

• 2

Brenden used $6\ \frac{3}{4}$  cups of sugar to make  $2\ \frac{1}{2}$  batches of cookies. How many cups of sugar did Brenden use per batch of cookies?

•  $\frac{10}{27}$  cup

•  $2\ \frac{7}{10}$  cups

•  $4\ \frac{1}{4}$  cups

•  $16\ \frac{7}{8}$  cups

Peyton recorded her height twice a year. She grew  $5\ \frac{1}{4}$  inches in  $3\ \frac{1}{2\ }$  years. What was Peyton's average growth rate per year?

•  $1\ \frac{1}{4}$   inches per year

•  $1\ \frac{1}{2}$  inches per year

•  $1\ \frac{3}{4}$  inches per year

•  $2\ \frac{1}{4}$  inches per year

A local car wash is open 8 hours each day.

- They use  $\frac{1}{3}$  of a container of wax for each car.

- The car wash waxes an average of  $8\ \frac{1}{2}$   cars per hour.

How many containers of wax does the car wash use in one day? 

•  $25\ \frac{1}{2}$  

•  $22\ \frac{2}{3}$  

•  $14\ \frac{2}{3}$  

•  $8\ \frac{1}{6}$  

Ally's hair grew from $10\ \frac{3}{4\ }$  inches to  $13\ \frac{1}{4}$  over 5 months. At what rate did Ally's hair grow per month?

•  $\frac{1}{2}$  inches

•  $4\ \frac{4}{5}$  inches

•  $2\ \frac{3}{20}$  inches

•  $2\ \frac{13}{20}$  inches

Isaiah can read​ $\frac{1}{16}$  of a book in  $\frac{1}{2}$  hour. At this rate, how long will it take Isaiah to read half his book?

•  $\frac{1}{8}$  hours

•  $\frac{1}{32}$  hours

• 8 hours

• 4 hours