#### Answer

$\frac{3x}{5} + 6$

#### Work Step by Step

First identify the task. In this case, it is to express "$ \frac{3}{5}$ increased by 6" as an equation. We are told to assume the number is "x". A method to solving this problem is to divide the given statement into sub parts and then combine each of these parts into an equation.
"$ \frac{3}{5}$ of a number" can be expressed as "$\frac{3x}{5}$".
"increased by 6" can be expressed as "$+6 $".
By putting these together, the answer is $\frac{3x}{5} + 6$