Question

How do you add `\frac { 6s } { 7} + \frac { 8s } { 7}`?

Answer 1

See a solution process below:

Explanation:

Because both fractions have the same denominator we are able to directly add the numerators over the common denominator:

`(6s)/7 + (8s)/7 => (6s + 8s)/7`

We can next add the common terms:

`(6s + 8s)/7 => ((6 + 8)s)/7 => (14s)/7`

Now, we can factor and cancel common terms in the numerator and denominator:

`(14s)/7 => ((7 xx 2)s)/7 => ((color(red)(cancel(color(black)(7))) xx 2)s)/color(red)(cancel(color(black)(7))) => 2s`