Question

Simplify 1/4(8m - 4n) + 1/3(6m + 3n)

Answer 1

1/4(8m - 4n) + 1/3(6m + 3n)=

Distribute the fractions through the parentheses

2m - n + 2m + n =

Combine like terms

2m + 2m - n + n = 4m

Simplified Answer is 4m

Answer 2

The simplified of
`(1)/(4)(8m-4n)+ (1)/(3)(6m+3n)` is 4m .

Explanation:

As given

`= (1)/(4)(8m-4n)+ (1)/(3)(6m+3n)`

L.C.M of (4,3) = 12

`= (3* (8m-4n)+4* (6m+3n))/(12)`

`= (3* 8m-3* 4n+4* 6m+4* 3n))/(12)`

`= (24m-12n+24m+12n)/(12)`

`= (24m+24m)/(12)`

`= (48m)/(12)`

= 4m

Therefore the simplified of
`(1)/(4)(8m-4n)+ (1)/(3)(6m+3n)` is 4m .