Question
Find the difference:
$2\frac{7}{9}-1\frac{8}{15}$

Answer

$\begin{array}{c|c}3&9,15\\\hline3&3,5\ \ \\\hline5&1,5\ \ \\\hline&1,1\ \ \end{array}$L.C.M of 9 and 15 = (3 × 3 × 5) = 45
$2\frac{7}{9}-1\frac{8}{15}$
$=\frac{25}{9}-\frac{23}{15}$
$=\frac{(125-69)}{45}$
$=\frac{56}{45}$
$=1\frac{11}{45}$
$\Big(\frac{45}{9}=5,5\times25=125\Big)$
and $\Big(\frac{45}{15}=3,3\times23=69\Big)$

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