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
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).
To find the fuel efficiency of the truck in miles per gallon, we need to divide the distance the truck traveled by the amount of fuel it used.
First, we need to convert the mixed fraction 10 2/5 to an improper fraction. We can do this by multiplying the whole number, 10, by the denominator, 5, and then adding the numerator, 2, to get 52. Then we write 52 as the numerator of the fraction, keeping the denominator the same, 5. So, 10 2/5 is equivalent to 52/5.
Next, we divide the distance traveled, 65 miles, by the amount of fuel used, 52/5 gallons:
Fuel Efficiency = Distance / Fuel Used
Fuel Efficiency = 65 miles / (52/5) gallons
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
Fuel Efficiency = 65 miles * (5/52 gallons)
Now, we can simplify the expression by multiplying across:
Fuel Efficiency = (65 miles * 5) / 52 gallons
Fuel Efficiency = 325 miles / 52 gallons
Therefore, the fuel efficiency of the truck is approximately 6.25 miles per gallon.
To find the fuel efficiency of the truck in miles per gallon, we need to divide the total distance traveled by the amount of fuel used.
Fuel efficiency (miles per gallon) = Total distance traveled / Amount of fuel used
Total distance traveled = 65 miles
Amount of fuel used = 10 2/5 gallons = 10 + 2/5 gallons = 10.4 gallons
Fuel efficiency (miles per gallon) = 65 miles / 10.4 gallons
Now we divide the distance by the fuel used:
Fuel efficiency (miles per gallon) ≈ 6.25 miles/gallon
Therefore, the fuel efficiency of the truck is approximately 6.25 miles per gallon.