Question
Simplify:$2+5\frac{7}{10}-3\frac{14}{15}$
✓
Answer
We have:$2+5\frac{7}{10}-3\frac{14}{15}$
$=\frac{2}{1}+\frac{57}{10}-\frac{59}{15}$
$\begin{array}{c|c}5&4,10,15\\\hline2&1,2,3\ \ \\\hline3&1,1,3\ \ \\\hline&1,1,1\ \ \end{array}$
$L.C.M.$ of $10$ and $15 = (2 \times 5 \times 3) = 30$
$=\frac{(69+171-118)}{30}$
$\Big(\frac{30}{1}=30,30\times2=60\Big)$
$\Big(\frac{30}{10}=3,3\times57=171\Big)$ and $\Big(\frac{30}{15}=2,2\times59=118\Big)$
$=\frac{(231-118)}{30}$
$=\frac{113}{30}$
$=3\frac{23}{30}$
$=\frac{2}{1}+\frac{57}{10}-\frac{59}{15}$
$\begin{array}{c|c}5&4,10,15\\\hline2&1,2,3\ \ \\\hline3&1,1,3\ \ \\\hline&1,1,1\ \ \end{array}$
$L.C.M.$ of $10$ and $15 = (2 \times 5 \times 3) = 30$
$=\frac{(69+171-118)}{30}$
$\Big(\frac{30}{1}=30,30\times2=60\Big)$
$\Big(\frac{30}{10}=3,3\times57=171\Big)$ and $\Big(\frac{30}{15}=2,2\times59=118\Big)$
$=\frac{(231-118)}{30}$
$=\frac{113}{30}$
$=3\frac{23}{30}$
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