Find the difference: 27 9 -18 15 - Vidyadip

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 $15 = (3 \times 3 \times 5) = 45$
$2\frac{7}{9}-1\frac{8}{15}$
$=\frac{25}{9}-\frac{23}{15}$
$=\frac{(125-69)}{45}$
$=\frac{56}{45}$
$=1\frac{11}{45}$
$\Big(\frac{45}{9}=5,5\times25=125\Big)$
and $\Big(\frac{45}{15}=3,3\times23=69\Big)$

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