Question

A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of

gasoline to the tank. How many gallons of gas does the tank now contain?
gallons
Add mixed numbers with unlike denominators word problems​

Answer 1

The gallons of gas the tank contain now is 35 1/12.

Explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank
`=1(3)/(4)=(7)/(4)`.

Gallons of gasoline Casey adds
`=33(1)/(3) =(100)/(3)`.

According to question:

By adding we get the total gallons of gasoline now tank contain:

`(7)/(4) +(100)/(3)`

`=(7* 3+100* 4)/(12)`

`=(21+400)/(12)`

`=(421)/(12)`

`=35(1)/(12)`

Therefore, the gallons of gas the tank contain now is 35 1/12.