Question

yesterday grace drove 28 1/2 miles she used 1/4 gallons of gasoline.what is the unit rate for miles per gallon

Answer 1

MPG= 30 4/5 or 30.8 is I think is the answer.

Answer 2

`unit\ rate=114 (miles)/(gallon)`

Explanation:

Hello, I think I can help you with this

remember some properties of mixed numbers

`a(b)/(c)=((a*c)+b)/(c)\\ example\\3(1)/(5)= ((3*5)+1)/(5)=(16)/(5)\\`

Step 1

covert 28 1/2

a=28

b=1

c=2

`a(b)/(c)=((a*c)+b)/(c)\\28(1)/(2)= ((28*2)+1)/(2)=(57)/(2)=28.5\\`

Hence, the distance she drove is 28.5 miles

Step 2

find the number of gallons

`(1)/(4)=0.25`

then, she used 0.25 gallons to travel 28.5 miles

Step 3

find the unit rate for miles per gallon

`unit\ rate=(number\ of\ miles)/(number\ of\ gallons)\\ unit\ rate=(28.5\ miles)/(0.25\ gallons)\\unit\ rate=114 (miles)/(gallon)`

Have a great day.