Question
Simplify:$8-3\frac{1}{2}-2\frac{1}{4}$
✓
Answer
We have:$8-3\frac{1}{2}-2\frac{1}{4}$
$=\frac{8}{1}-\frac{7}{2}-\frac{9}{4}$
$\begin{array}{c|c}2&1,2,4\\\hline2&1,1,2\\\hline&1,1,1\end{array}$
$L.C.M.$ of $1, 2$ and $4 = (2 \times 2) = 4$
$=\frac{(32-14-9)}{4}$
$\Big(\frac{4}{1}=4,4\times8=32\Big)$
$\Big(\frac{4}{2}=2,2\times7=14\Big)$ and
$\Big(\frac{4}{4}=1,1\times9=9\Big)$
$=\frac{(32-23)}{34}$
$=\frac{9}{4}$
$=2\frac{1}{4}$
$=\frac{8}{1}-\frac{7}{2}-\frac{9}{4}$
$\begin{array}{c|c}2&1,2,4\\\hline2&1,1,2\\\hline&1,1,1\end{array}$
$L.C.M.$ of $1, 2$ and $4 = (2 \times 2) = 4$
$=\frac{(32-14-9)}{4}$
$\Big(\frac{4}{1}=4,4\times8=32\Big)$
$\Big(\frac{4}{2}=2,2\times7=14\Big)$ and
$\Big(\frac{4}{4}=1,1\times9=9\Big)$
$=\frac{(32-23)}{34}$
$=\frac{9}{4}$
$=2\frac{1}{4}$
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