Question

Amy used a total of 7 1/4 gallons of gas while driving her car. Each hour she was driving, she used 5/6 gallons of gas. What was the total number of hours she was driving?
Write your answer as a mixed number in the simplest form.

Answer 1

Answer:  8  7/10  hours

whole part = 8

fractional part = 7/10

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Work Shown:

x = number of hours driving

(5/6)x = total number of gallons of gas used

(5/6)x = 7 & 1/4

(5/6)x = 7 + 1/4

(5/6)x = 28/4 + 1/4

(5/6)x = 29/4

x = (29/4)*(6/5)

x = (29*6)/(4*5)

x = 174/20

x = 87/10

x = (80+7)/10

x = 80/10 + 7/10

x = 8 + 7/10

x = 8 & 7/10

This is the same as writing 8  7/10

Amy drove 8 full hours, plus an additional 7/10 of an hour.

That mixed number converts to the decimal value 8.7