Question

How do you combine `3/(5x)+7/(5x)`?

Answer 1

`2/x`

Explanation:

Since the 2 fractions have a `color(blue)"common denominator"` of 5x we can combine them into a single fraction by `color(red)"adding their numerators"`

`rArr3/(5x)+7/(5x)=(3+7)/(5x)=10/(5x)`

We can simplify further by diving the 10 and 5 by 5 (cancelling)

`rArr10/(5x)=cancel(10)^2/(cancel(5)^1 x)=2/x`

Thus `3/(5x)+7/(5x)=2/x`