Question

47/6m+n- 7/2m-6/5n
Simplify

Answer 1

`(13m)/(3)-(n)/(5)`

Explanation:

1) Simplify
`(47)/(6)m` to
`(47m)/(6)`

`(47m)/(6)+n-(7)/(2)m-(6)/(5)n`

2) Simplify
`(7)/(2)m` to
`(7m)/(2)`

`(47m)/(6)+n-(7m)/(2)-(6)/(5)n`

3) Simplify
`(6)/(5)n` to
`(6n)/(5)`

`(47m)/(6)+n-(7m)/(2)-(6n)/(5)`

4) Collect like terms.

`((47m)/(6)-(7m)/(2))+(n-(6n)/(5))`

5) Simplify.

`(13m)/(3)-(n)/(5)`