Question

Naomi ued (2)/(3) gallon of gas to dine 15(1)/(5) miles. At this rate, how many miles can Naomis car travel per gallon of gas?

A. 22(4)/(5)
B. 24(1)/(3)
C. 25
D. 28(1)/(2)

Answer 1

To determine how many miles per gallon Naomi's car can travel, we divided the distance of 15(1)/(5) miles (converted to 76/5 as an improper fraction) by the amount of gas used, which is (2)/(3) gallons. The calculation yields 22.8 miles per gallon, which is answer choice A, 22(4)/(5) miles per gallon.

Step-by-step explanation:

The question is asking to calculate how many miles Naomi's car can travel per gallon of gas. Naomi used (2)/(3) gallon of gas to drive 15(1)/(5) miles. To find the miles per gallon, we divide the total miles driven by the gallons of gas used. First, convert the mixed number to an improper fraction: 15(1)/(5) = (76)/(5) miles. Now, calculate miles per gallon:

Miles per gallon = (Total Miles) / (Gallons Used) = (76)/(5) / (2)/(3)

Now simplify the division of two fractions by multiplying by the reciprocal of the second fraction:

Miles per gallon = (76)/(5) * (3)/(2) = (228)/(10) = 22.8 miles per gallon

So, the answer is A. 22(4)/(5) miles per gallon.