MCQ
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{5}{6}+\frac{2}{3}-\frac{4}{9}=\ ?$
  • A
    $1\frac{1}{3}$
  • B
    $1\frac{1}{6}$
  • C
    $1\frac{1}{9}$
  • $1\frac{1}{18}$

Answer

Correct option: D.
$1\frac{1}{18}$

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

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