Question

How do we get the answer as

37
1 -----
45​

Answer 1

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$5 \frac{8}{9} + \frac{2}{15} - 4 \frac{1}{5}$

$\frac{5 \times 9 + 8}{9} + \frac{2}{15} - \frac{4 \times 5 + 1}{5}$

$\frac{53}{9} + \frac{2}{15} - \frac{21}{5}$

$\frac{53 \times 5}{9 \times 5} + \frac{2 \times 3}{15 \times 3} - \frac{21 \times 9}{5 \times 9}$

$\frac{265}{45} + \frac{6}{45} - \frac{189}{45}$

$\frac{265 + 6 - 189}{45}$

$\frac{82}{45}$

$1\frac{37}{45}$