# How do you simplify fractions?

Apr 13, 2016

See explanation.

#### Explanation:

To simplify a fraction youu have to divide both its numerator and denominator by the same number.

Examples:

a)

$\frac{3}{9} = \frac{1 \cdot 3}{3 \cdot 3} = \frac{1}{3}$

In this example I reduced the fraction by $3$.

b)

$\frac{16}{32} = \frac{8 \cdot 2}{16 \cdot 2} = \frac{8}{16}$

$\frac{8}{16} = \frac{4 \cdot 2}{8 \cdot 2} = \frac{4}{8}$

$\frac{4}{8} = \frac{2 \cdot 2}{2 \cdot 4} = \frac{2}{4}$

$\frac{2}{4} = \frac{1 \cdot 2}{2 \cdot 2} = \frac{1}{2}$

In this example I reduced the original fraction gradually. Instead of that I could reduce the fraction by $16$

$\frac{16}{32} = \frac{1 \cdot 16}{2 \cdot 16} = \frac{1}{2}$