Simplify: 5 6 -4 9 +2 3 - Vidyadip

Question

Simplify:
$\frac{5}{6}-\frac{4}{9}+\frac{2}{3}$

✓

Answer

We have, $\frac{5}{6}-\frac{4}{9}+\frac{2}{3}$
$\begin{array}{c|c}3&3,6,9\\\hline3&1,2,3\\\hline2&1,2,1\\\hline&1,1,1\end{array}$
$L.C.M.$ of $3, 6$ and $9 = (2 \times 3 \times 3) = 18$
$=\frac{(15+8+12)}{18}$
$\Big(\frac{18}{6}=3,3\times5=15\Big)$
$\Big(\frac{18}{9}=2,2\times4=8\Big)$ and
$\Big(\frac{18}{3}=6,6\times2=12\Big)$
$=\frac{(27-8)}{18}$
$=\frac{19}{18}$
$=1\frac{1}{18}$

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