Question

Simplify these expressions sa far as possible x/3 +2x/5=

Answer 1

I hope this help you, if you need more explanations feel free to ask me :)

Explanation:

`(x)/(3) + (2x)/(5) \\ (15x + 6x)/(15) (21x)/(15) \\ (7x)/(5)`

Answer 2

`(11x)/(15)`

Explanation:

Before we can add the 2 fractions we require them to have a common denominator

the LCM of 3 and 5 is 15

multiply the numerator and denominator of the first fraction by 5

multiply the numerator and denominator of the second fraction by 3

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

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

=
`(5x)/(15)` +
`(6x)/(15)`

now add the numerators over the common denominator

=
`(5x+6x)/(15)`

=
`(11x)/(15)`