# Avery writes equations using fractions with denominators of 8.What are three equations with a sum of 5/8 that Avery could write?

May 14, 2018

Any three numbers that add up to 5 when all are divided by 8. For example, $\frac{1}{8} + \frac{1}{8} + \frac{3}{8}$

#### Explanation:

When you have an equation like:

$\frac{a}{e} + \frac{b}{e} + \frac{c}{e} = \frac{d}{e}$ you can simplify it by multiplying everything by the denominator.

Leaving you with just the numerators. i.e:
$a + b + c = d$

In your case it would go from:

$\frac{a}{8} + \frac{b}{8} + \frac{c}{8} = \frac{5}{8}$ to

$a + b + c = 5$ (by multiplying every fraction by 8)

As this is a single equation with more than 1 variable there is an infinite amount of different possibilities. I have given you 3 for an answer example:

$\frac{3}{8} + \frac{1}{8} + \frac{1}{8} = \frac{5}{8}$

$\frac{2}{8} + \frac{2}{8} + \frac{1}{8} = \frac{5}{8}$

$\frac{5}{8} + \frac{1}{8} + - \frac{1}{8} = \frac{5}{8}$