Question

How do you add `\frac { 7} { 12a - 24} + \frac { a } { 3a - 6}`?

Answer 1

See a solution process below:

Explanation:

To add or subtract fractions the fractions must be over a common denominator. First, we need to multiply the fraction on the right by the appropriate form of `1` to put it over a common denominator with the fraction on the left:

`7/(12a - 24) + (4/4 xx a/(3a - 6)) =>`

`7/(12a - 24) + (4a)/(4(3a - 6)) =>`

`7/(12a - 24) + (4a)/((4 xx 3a) - (4 xx 6)) =>`

`7/(12a - 24) + (4a)/(12a - 24)`

We can now add the two numerators over the common denominator:

`(7 + 4a)/(12a - 24)`