# What fraction is equivalent to 4/8 and has a numerator that is five less than three times the denominator?

Dec 9, 2016

$\frac{19}{38}$

#### Explanation:

Simplify $\frac{4}{8} \text{ by cancelling}$

$\Rightarrow {\cancel{4}}^{1} / {\cancel{8}}^{2} = \frac{1}{2} \leftarrow \text{ in simplest form}$

We are looking for an equivalent fraction to $\frac{1}{2}$

The equivalent fraction has a numerator$= \left(3 \times 8\right) - 5 = 19$

$\Rightarrow \frac{4}{8} = \frac{1}{2} = \textcolor{red}{\frac{19}{38}}$