Question

What is the value of -1/6+2/3(9-3/4)-1/2

Answer 1

$\bf -\cfrac{1}{6}+\cfrac{2}{3}\left( 9-\cfrac{3}{4} \right)-\cfrac{1}{2}\impliedby recall\qquad \mathbb{PEMDAS} \\\\\\ -\cfrac{1}{6}+\cfrac{2}{3}\left( \cfrac{36-3}{4} \right)-\cfrac{1}{2}\implies -\cfrac{1}{6}+\cfrac{2}{3}\left( \cfrac{33}{4} \right)-\cfrac{1}{2} \\\\\\ -\cfrac{1}{6}+\cfrac{2\cdot 33}{3\cdot 4} -\cfrac{1}{2}\implies -\cfrac{1}{6}+\cfrac{66}{12} -\cfrac{1}{2}\impliedby \textit{LCD of 12} \\\\\\ \cfrac{-2+66-6}{12}\implies \cfrac{58}{12}\implies \cfrac{29}{6}\implies 4\frac{5}{6}$