Answer:
[tex]\frac{79}{12}[/tex] or 6[tex]\frac{7}{12}[/tex] gallons of gas.
Step-by-step explanation:
First, you have to convert both of your mixed numbers into a improper fractions.
2 [tex]\frac{1}{4}[/tex] = 9/4
4 [tex]\frac{2}{6}[/tex] = 26/6
Second, find the greatest common multiple of the denominators of both. In this case, it would be 12.
Then find the number that the first improper fraction's denominator would be multiplied by to get the GCM. Multiply both the nominator and the denominator by that number.
4 would need to be multiplied by 3 to get 12. So we multiply 9/4 by 3/3. We would get 27/12.
Repeat that for the second fraction's denominator.
6 would need to be multiplied by 2 to get 12. So we multiply 26/6 by 2/2. We would get 52/12.
Then add both fractions together.
[tex]\frac{27}{12}+\frac{52}{12}[/tex] [tex]=\frac{79}{12}[/tex]
If you need to, simplify.
[tex]\frac{79}{12} = 6\frac{7}{12}[/tex]
Hope that helped!
