Question

Tanya drove 3 1/2 hours and used 1/3 tank of gas.

Answer 1

3 1/2 : 1/3 
Multiply each side by 3:
10 1/2 : 1
Divide each side by 2:
5 1/4 : 1/2

Hope this helps :)

Answer 2

Answer:

$5\frac{1}{4}\ hours$

Step-by-step explanation:

Convert mixed number to an improper fraction

$3\frac{1}{2}\ hours=\frac{3*2+1}{2}=\frac{7}{2}\ hours$

by proportion

$\frac{(7/2)}{(1/3)}\frac{hours}{tank} =\frac{x}{(1/2)}\frac{hours}{tank}\\ \\x=(7/2)*(1/2)/(1/3)\\ \\x=(21/4)\ hours$

Convert an improper fraction to a mixed number

$(21/4)\ hours=\frac{20}{4}+\frac{1}{4}=5+\frac{1}{4}=5\frac{1}{4}\ hours$