Question

Find the sum of 1/3x and 2/5x

Answer 1

The sum of 1/3x and 2/5x will be:

`(1)/(3)x+(2)/(5)x=(11)/(15)x`

Explanation:

Finding the sum of 1/3x and 2/5x.

i.e.

`(1)/(3)x+(2)/(5)x`

Factor out common term x

`(1)/(3)x+(2)/(5)x=x\left((1)/(3)+(2)/(5)\right)`

as

`(1)/(3)+(2)/(5)=(5+6)/(15)=(11)/(15)`

so the expression becomes

`=(11)/(15)x`

Therefore, the sum of 1/3x and 2/5x will be:

`(1)/(3)x+(2)/(5)x=(11)/(15)x`