How do you simplify 1/8 - (3/4) ÷ 6/4 using order of operations?

Apr 4, 2018

$\textcolor{red}{- \frac{3}{8}}$

Explanation:

$\text{Order of operation : BODMAS or PEMDAS}$

$\left(\frac{1}{8}\right) - \left(\frac{3}{4}\right) \div \left(\frac{6}{4}\right)$

$\implies \left(\frac{1}{8}\right) - \left(\frac{3}{4}\right) \cdot \left(\frac{4}{6}\right) , \text{ Division converted to multiplication}$

$\implies \left(\frac{1}{8}\right) - \frac{\cancel{3}}{\cancel{4}} \cdot \frac{\cancel{4}}{\cancel{6}} ^ \textcolor{red}{2} = \left(\frac{1}{8}\right) - \left(\frac{1}{2}\right) \text{ carrying out multiplication}$

$\implies \left(\frac{1}{8}\right) - \frac{1 \cdot 4}{2 \cdot 4} = \frac{1}{8} - \frac{4}{8} , \text{ taking LCM}$

$\implies \frac{1 - 4}{8} = - \left(\frac{3}{8}\right)$