# How do you simplify 2/(5m)-1/(15m^3)?

Mar 12, 2018

$\frac{6 {m}^{2} - 1}{15 {m}^{3}}$

#### Explanation:

$\frac{2}{5 m} - \frac{1}{15 {m}^{3}}$

We need a common denominator:

$\frac{3 {m}^{2}}{3 {m}^{2}} \times \frac{2}{5 m} - \frac{1}{15 {m}^{3}}$

$\frac{6 {m}^{2}}{15 {m}^{3}} - \frac{1}{15 {m}^{3}}$

$\frac{6 {m}^{2} - 1}{15 {m}^{3}}$

Mar 12, 2018

$\frac{6 {m}^{2} - 1}{15 {m}^{3}}$

#### Explanation:

Expand the fraction

$\frac{3 {m}^{2} \cdot 2}{3 {m}^{2} \cdot 5 m} - \frac{1}{15 {m}^{3}}$

Calculate the products

$\frac{6 {m}^{2}}{15 {m}^{3}} - \frac{1}{15 {m}^{3}}$

Write all the numerators above the common denominator

$\frac{6 {m}^{2} - 1}{15 {m}^{3}}$
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