# How do you simplify 36-\frac{1}{2}?

Mar 4, 2018

The answer is $35 \frac{1}{2}$.

#### Explanation:

A simple way is to split up $36$ into $35 + 1$. Then, rewrite $1$ as two halves ($\frac{2}{2}$) and subtract the other half.

$\textcolor{w h i t e}{=} 36 - \frac{1}{2}$

$= 35 + \textcolor{red}{1} - \frac{1}{2}$

$= 35 + \textcolor{red}{\frac{1}{1}} - \frac{1}{2}$

$= 35 + \textcolor{red}{\frac{2}{2}} \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{1}{2}}$

$= 35 + \textcolor{p u r p \le}{\frac{1}{2}}$

$= 35 \frac{1}{2}$