How do you simplify 5/6-1/8div1/2?

Dec 20, 2016

$\frac{7}{12}$

Explanation:

There are 2 terms, separated by the minus sign. Each term must simplify to a single answer before you can subtract, so do the division first:

$\textcolor{b l u e}{\frac{5}{6}} \textcolor{red}{- \frac{1}{8} \div \frac{1}{2}}$

$\textcolor{b l u e}{\frac{5}{6}} \textcolor{red}{- \frac{1}{8} \times \frac{2}{1}} \text{ } \leftarrow$ multiply by the reciprocal

$\textcolor{b l u e}{\frac{5}{6}} \textcolor{red}{- \frac{1}{4}} \text{ } \leftarrow$now find a common denominator

$\frac{10 - 3}{12} \text{ "larr}$ make equivalent fractions

$\frac{7}{12}$