1. $\frac { 4 } { m } + \frac { 3 m } { 5 } = \frac { 4 m + 1 } { 5 }$

   Hint (a):

   Multiply both sides by 5m and then solve as a quadratic.

   Answer (a):

   $m = −5 \text{ or } m = 4$

b.$\frac { z } { 5 } + 4 = \frac { 3 z } { z - 2 }$