Question

Sofia began her pizza delivery route with 3/4 of a tank of gas in her car. When she made it back to the pizzeria, 1/4 of a tank of gas was left. How much gas did Sofia use?

Answer 1

the Operations with fractions

Sofia began her job with 3/4 of the tank of gas in her car.

Later when she finished the job, there was still 1/4 of the tank of gas left

This means that she used in the pizza delivery the difference between these two fractions:

gas used = initial gas - final gas

For example, if there were 10 lts at first time and there were2 lts left, she would have used 10 - 2 = 8 lts

Now let's operate both fractions:

gas used = 3/4 - 1/4

`(3)/(4)-(1)/(4)=(3-1)/(4)=(2)/(4)`

This fraction can be simplified because both parts are even, i.e. divisible by 2

Thus:

`(2)/(4)=(1)/(2)`

Answer: Sofia used 1/2 of the tank