Question
Simplify:
$\frac{5}{6}-\frac{4}{9}+\frac{2}{3}$
$\frac{5}{6}-\frac{4}{9}+\frac{2}{3}$
✓
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 × 3 × 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}$
$=\frac{19}{18}$
$=1\frac{1}{18}$
$=\frac{19}{18}$
$=1\frac{1}{18}$
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