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