Answer:
The gallons of gas the tank contain now is 35 1/12.
Step-by-step 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 [tex]=1\frac{3}{4}=\frac{7}{4}[/tex].
Gallons of gasoline Casey adds [tex]=33\frac{1}{3} =\frac{100}{3}[/tex].
According to question:
By adding we get the total gallons of gasoline now tank contain:
[tex]\frac{7}{4} +\frac{100}{3}[/tex]
[tex]=\frac{7\times 3+100\times 4}{12}[/tex]
[tex]=\frac{21+400}{12}[/tex]
[tex]=\frac{421}{12}[/tex]
[tex]=35\frac{1}{12}[/tex]
Therefore, the gallons of gas the tank contain now is 35 1/12.
