Answer:
The simplified of [tex]\frac{1}{4}(8m-4n)+ \frac{1}{3}(6m+3n)[/tex] is 4m .
Step-by-step explanation:
As given
[tex]= \frac{1}{4}(8m-4n)+ \frac{1}{3}(6m+3n)[/tex]
L.C.M of (4,3) = 12
[tex]= \frac{3\times (8m-4n)+4\times (6m+3n)}{12}[/tex]
[tex]= \frac{3\times 8m-3\times 4n+4\times 6m+4\times 3n)}{12}[/tex]
[tex]= \frac{24m-12n+24m+12n}{12}[/tex]
[tex]= \frac{24m+24m}{12}[/tex]
[tex]= \frac{48m}{12}[/tex]
= 4m
Therefore the simplified of [tex]\frac{1}{4}(8m-4n)+ \frac{1}{3}(6m+3n)[/tex] is 4m .
