# How do you simplify 1/4-2/3?

Jun 7, 2017

See a solution process below:

#### Explanation:

To add or subtract fractions they must be over common denominators. We can simplify this expression by first multiplying each fraction by the appropriate form of $1$ to get each fraction over a common denominator. In this case $12$

$\frac{1}{4} - \frac{2}{3} \implies \left(\frac{3}{3} \times \frac{1}{4}\right) - \left(\frac{4}{4} \times \frac{2}{3}\right) \implies$

$\frac{3}{12} - \frac{8}{12}$

We can now subtract the numerators over the common denominator:

$\frac{3}{12} - \frac{8}{12} \implies \frac{3 - 8}{12} \implies - \frac{5}{12}$