Question

-4n + 1/3m + 4n - 4/5m​

Answer 1

`-4n+(1)/(3m)+4n-(4)/(5m)=-(7)/(15m)`

Explanation:

Given the expression

`-4n\:+\:(1)/(3m)\:+\:4n\:-(4)/(5m)`

Group like terms

`-4n\:+\:(1)/(3m)\:+\:4n\:-(4)/(5m)=-4n+4n+(1)/(3m)-(4)/(5m)`

Adding similar elements: -4n + 4n = 0

`=(1)/(3m)-(4)/(5m)`

L.C.M of 3m and 5n will be: 15m

so adjusting fractions based on the LCM

`=(5)/(15m)-(12)/(15m)`

Since, the denominators are equal, combine the fractions:
`(a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)`

`=(5-12)/(15m)`

`=(-7)/(15m)`

`=-(7)/(15m)`

Therefore, we conclude that:

`-4n+(1)/(3m)+4n-(4)/(5m)=-(7)/(15m)`