A car travels 83 \(\frac{7}{10}\) miles on 2 \(\frac{1}{4}\) gallons of fuel. What is the best estimate of the miles the car travels on one gallon of fuel?
Answer (2)
To estimate the number of miles a car travels on one gallon of fuel, we need to calculate the car's fuel efficiency. The car travels 83 7/10 miles on 2 1/4 gallons of fuel.
To find the miles per gallon, divide the total miles traveled by the total gallons of fuel used.
To estimate:
Convert the mixed numbers to improper fractions or decimals. So, 83 7/10 miles is 83.7 miles, and 2 1/4 gallons is 2.25 gallons.
Now, divide the miles traveled by the gallons used: 83.7 miles รท 2.25 gallons = approximately 37.2 miles per gallon (mpg).
This gives us an estimate for the car's fuel efficiency, which is the number of miles it can travel on one gallon of fuel.
The car travels approximately 37.2 miles per gallon. This was calculated by converting the distance and fuel consumption to improper fractions and then dividing the total miles by the total gallons used. Hence, the car's estimated fuel efficiency is about 37.2 miles per gallon.
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