# How do you simplify 2/15 - 1/10?

Jan 25, 2018

See a solution process below:

#### Explanation:

First, multiply each fraction by the appropriate form of $1$ to put the fractions over a common denominator without changing the value of the fractions:

$\left(\frac{2}{2} \times \frac{2}{15}\right) - \left(\frac{3}{3} \times \frac{1}{10}\right) \implies$

$\frac{2 \times 2}{2 \times 15} - \frac{3 \times 1}{3 \times 10} \implies$

$\frac{4}{30} - \frac{3}{30}$

Now, subtract the numerators over the common denominator:

$\frac{4}{30} - \frac{3}{30} \implies$

$\frac{4 - 3}{30} \implies$

$\frac{1}{30}$