Question

1.6.AP-13 Question Help 3 1 On a recent trip, Jeremy and Frank drove 790 miles on 335 gallons of gas. How many miles per gallon did their car get on this trip? The car got miles per gallon on this trip. (Type a whole number, proper fraction, or mixed number.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Review progress Question 13 of 24 Back Next →

Answer 1

Since the number of miles is 790

Since the number of gallons used for these miles is 33 1/3

Then we will divide the number of miles by the number of gallons

to get the number of miles per gallon

790 ÷ 33 1/3

At first, we should change the mixed number to an improper fraction

$33\frac{1}{3}=\frac{33\times3+1}{3}=\frac{99+1}{3}=\frac{100}{3}$

Then let us divide them by changing the division sign by multiplication sign

and flip the fraction 100/3

$790\text{ / }\frac{100}{3}=790\times\frac{3}{100}$

Let us multiply 790 by 3, then divide by 100

$790\times3=3\times700+3\times90=2100+270=2370$

Then let us divide 2370 by 100

$\frac{2370}{100}=\frac{237}{10}=23\frac{7}{10}$

The number of miles per gallon is 23 7/10