Question

How do you solve `\frac{1}{3}x+\frac{3}{5}=\frac{4}{15}`?

Answer 1

`1/3x+3/5=4/15`

Multiply all terms by the LCM which is `15`.

`(15xx1/3x)+(15xx3/5)=(15xx4/15)`

`(5cancel15xx1/(1cancel3)x)+(3cancel15xx3/(1cancel5))=(1cancel15xx4/(1cancel15))`

`5x+9=4`

Subtract `9` from each side.

`5x=-5`

Divide both sides by `5`.

`x=-1`