# How do you simplify 7/(5t)-(3+t)/(5t)?

Mar 17, 2017

$\frac{4 - t}{5 t}$

#### Explanation:

Before adding/subtracting fractions they must have a $\textcolor{b l u e}{\text{common denominator}}$

These fractions have a common denominator of $\textcolor{b l u e}{5 t}$ and so we can subtract the numerators while leaving the denominator as it is.

$\Rightarrow \frac{7}{5 t} - \frac{3 + t}{5 t}$

$= \frac{7 - \left(3 + t\right)}{5 t}$

$= \frac{7 - 3 - t}{5 t}$

$= \frac{4 - t}{5 t}$