Question
Simplify: $2+\frac{-1}{2}+\frac{-3}{4}$
✓
Answer
$2+\frac{-1}{2}+\frac{-3}{4}$
$LCM$ of $2, 4 = 4$
$\therefore\frac{2}{1}=\frac{2\times4}{1\times4}=\frac{8}{4}$
$\frac{-1}{2}=\frac{-1\times2}{2\times2}=\frac{-2}{4}$
$\frac{-3}{4}=\frac{-3}{4}$
$\therefore \ 2+\frac{-1}{2}+\frac{-3}{4}$
$=\frac{8}{4}+\frac{-2}{4}+\frac{-3}{4}$
$=\frac{8+(-2)+(-3)}{4}$
$=\frac{8-2-3}{4}=\frac{8-5}{4}$
$=\frac{3}{4}$
$LCM$ of $2, 4 = 4$
$\therefore\frac{2}{1}=\frac{2\times4}{1\times4}=\frac{8}{4}$
$\frac{-1}{2}=\frac{-1\times2}{2\times2}=\frac{-2}{4}$
$\frac{-3}{4}=\frac{-3}{4}$
$\therefore \ 2+\frac{-1}{2}+\frac{-3}{4}$
$=\frac{8}{4}+\frac{-2}{4}+\frac{-3}{4}$
$=\frac{8+(-2)+(-3)}{4}$
$=\frac{8-2-3}{4}=\frac{8-5}{4}$
$=\frac{3}{4}$
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