Question

Solve the following linear equation: $m-\frac{m-1}{2}=1-\frac{m-2}{3}$

• A. $m=\frac{7}{5}$
• B. $m=\frac{2}{3}$
• C. $m=\frac{10}{3}$
• D. $m=\frac{3}{8}$

Answer 1

The correct option is A $m=\frac{7}{5}$

Given, $m-\frac{(m-1)}{2}=1-\frac{(m-2)}{3}$

L.C.M. of $2$ and $3$ is $6$

Multiplying with 6 on both sides of the equation, we get

$6m-3(m-1)=6-2(m-2)$

$6m-3m+3=6-2m+4$

$5m=7$

$m=\frac{7}{5}$