# How do you simplify 6/(5t^2)-2/(3t)?

Apr 26, 2017

See the solution process below:

#### Explanation:

To add or subtract fractions, each fraction must be over a common denominator. For this problem the common denominator is:

$15 {t}^{2}$

We need to first multiply each fraction by the appropriate form of $1$ to put each fraction over this common denominator:

$\frac{6}{5 {t}^{2}} - \frac{2}{3 t} \implies \left(\frac{3}{3} \times \frac{6}{5 {t}^{2}}\right) - \left(\frac{5 t}{5 t} \times \frac{2}{3 t}\right) \implies$

$\frac{18}{15 {t}^{2}} - \frac{10 t}{15 {t}^{2}}$

We can now subtract the numerators over the common denominator:

$\frac{18}{15 {t}^{2}} - \frac{10 t}{15 {t}^{2}} \implies \frac{18 - 10 t}{15 {t}^{2}}$