a semi truck used 10 2/5 gallons of fuel to travel 65 miles what was the fuel efficiency of the truck in miles per gallon

Answer 1

To find the fuel efficiency of the truck in miles per gallon, we need to divide the number of miles traveled by the number of gallons of fuel used.

Fuel efficiency (miles per gallon) = Number of miles traveled / Number of gallons of fuel used

Number of miles traveled = 65 miles
Number of gallons of fuel used = 10 2/5 gallons

First, we need to convert the mixed fraction 10 2/5 to an improper fraction:
10 2/5 = (10 * 5 + 2) / 5 = 52/5

Now we can calculate the fuel efficiency:
Fuel efficiency (miles per gallon) = 65 miles / 52/5 gallons

To divide by a fraction, we can multiply by its reciprocal:
Fuel efficiency (miles per gallon) = 65 miles * 5/52 gallons

Simplifying the expression:
Fuel efficiency (miles per gallon) = (65 * 5) / 52 miles per gallon

Fuel efficiency (miles per gallon) = 325 / 52 miles per gallon

The fuel efficiency of the truck in miles per gallon is approximately 6.25 miles per gallon (rounded to two decimal places).