Question

PLS HELP FOR MY PROJECT!!!!

Violet's car used 5/6 of a gallon to travel 17 1/2 miles. At what rate does the car use gas, in miles per gallon?

First, reason down from 5/6 to 1/6 Enter all values as fractions (proper or improper) or whole numbers. You will need to convert mixed numbers to improper fractions.

Answer 1

Therefore, the car uses gas at a rate of 21 miles per gallon.

Explanation:

If Violet's car used 5/6 of a gallon to travel 17 1/2 miles, we can find the rate at which the car uses gas (in miles per gallon) by dividing the distance traveled by the amount of gas used.

To do this, we need to convert the mixed number 17 1/2 to an improper fraction:

17 1/2 = 35/2

So, the rate at which the car uses gas is:

(35/2) miles ÷ (5/6) gallons

To divide by a fraction, we can multiply by its reciprocal:

(35/2) miles ÷ (5/6) gallons = (35/2) miles x (6/5) gallons

Simplifying, we get:

(35/2) x (6/5) = (35 x 6)/(2 x 5) = 210/10 = 21

Therefore, the car uses gas at a rate of 21 miles per gallon.