Evaluate: 5/6-2/3 (6-1/2)+3/4

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Expression: $\frac{5}{6}-\frac{2}{3}(6-\frac{1}{2})+\frac{3}{4}$

Multiply and divide (left to right) $ \frac{2}{3}\cdot \frac{11}{2} :{\quad}\frac{11}{3}$

$=\frac{5}{6}-\frac{11}{3}+\frac{3}{4}$

Calculate within parentheses $ (6-\frac{1}{2}) :{\quad}\frac{11}{2}$

$=\frac{11}{2}$ $=\frac{5}{6}-\frac{11}{3}+\frac{3}{4}$

Add and subtract (left to right) $ \frac{5}{6}-\frac{11}{3}+\frac{3}{4} :{\quad}-\frac{25}{12}$

$=-\frac{25}{12}$

Follow the PEMDAS order of operations

$=\frac{5}{6}-\frac{2}{3}\cdot \frac{11}{2}+\frac{3}{4}$ $=-\frac{25}{12}$

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