Simplify:2+11 15 -5 9 - Vidyadip

Question

Simplify:$2+\frac{11}{15}-\frac{5}{9}$

✓

Answer

We have:$2+\frac{11}{15}-\frac{5}{9}$
$\begin{array}{c|c}3&1,15,9\\\hline3&1,5,3\ \\\hline5&1,5,1\ \\\hline&1,1,1\ \end{array}$
L.C.M. of 15 and 9 = (3 × 3 × 5) = 45 $=\frac{(90+33-25)}{45}$ $\Big(\frac{45}{1}=45,45\times2=90\Big)$ $\Big(\frac{45}{15}=3,3\times11=33\Big)$ and $\Big(\frac{45}{9}=5,5\times5=25\Big)$$=\frac{(98+8)}{45}$
$=\frac{98}{45}$
$=2\frac{8}{45}$

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