Answer
The student did not make sure to find the LCD and create common denominators before adding the fractions.
Work Step by Step
The work should have been done as such:
$1+\frac{1}{m} = \frac{1}{5}$
The LCD is $5m$, so we must multiply both sides of the equation by 5m.
$1(5m)+\frac{1}{m}(5m) = \frac{1}{5}(5m)$
When we simplify, we get:
$5m + 5 = m$
