# How do write in simplest form given 4/3+4/3?

Oct 23, 2016

color(green)(8/3 or $\textcolor{g r e e n}{2 \frac{2}{3}}$
(depending upon which you find "simpler")

#### Explanation:

Given two fractions with equal denominators (that part on the bottom) simply keep the same denominator and add the numerators (the numbers on top) to get the sum.

$\frac{4}{3} + \frac{4}{3} = \frac{4 + 4}{3} = \frac{8}{3}$

To convert to a mixed fraction, note that
$\frac{8}{3} = \frac{6 + 2}{3} = \frac{6}{3} + \frac{2}{3} = 2 + \frac{2}{3}$ (or as normally written: $2 \frac{2}{3}$)

Here it is in picture form:

Oct 29, 2016

$\frac{4}{3} + \frac{4}{3} \text{ "=" } 2 \frac{2}{3}$

#### Explanation:

$\frac{4}{3} + \frac{4}{3} \text{ "=" "(4+4)/3" "=" } \frac{8}{3}$

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But $\frac{8}{3}$ is the same as $\text{ } \frac{3}{3} + \frac{3}{3} + \frac{2}{3}$
$\textcolor{w h i t e}{.}$

and $\frac{3}{3} = 1$ giving:

$\textcolor{w h i t e}{.}$

$1 + 1 + \frac{2}{3} \text{ "=" } 2 \frac{2}{3}$