# How do you simplify 1/2-(1/8+1/8)?

Nov 23, 2016

$\frac{1}{4}$

#### Explanation:

First, add the terms within parenthesis:

$\frac{1}{2} - \left(\frac{1}{8} + \frac{1}{8}\right) \implies \frac{1}{2} - \frac{2}{8}$

Next, reduce the second term:

$\frac{1}{2} - \left(\left(\frac{2}{2}\right) \cdot \left(\frac{1}{4}\right)\right) \implies \frac{1}{2} - \left(1 \cdot \left(\frac{1}{4}\right)\right) \implies \frac{1}{2} - \frac{1}{4}$

To get these two terms over a common denominator (in this case $4$) we need to multiple the first term by $\left(\frac{2}{2}\right)$:

$\frac{1}{2} - \frac{1}{4} \implies \left(\left(\frac{2}{2}\right) \cdot \left(\frac{1}{2}\right)\right) - \frac{1}{4} = \frac{2}{4} - \frac{1}{4}$

Now we can subtract the terms to obtain the final answer:

$\frac{2}{4} - \frac{1}{4} \implies \frac{2 - 1}{4} \implies \frac{1}{4}$