Find the sum: 83 4 +102 5 - Vidyadip

Question

Find the sum:
$8\frac{3}{4}+10\frac{2}{5}$

✓

Answer

$8\frac{3}{4}+10\frac{2}{5}$
$=\frac{35}{4}+\frac{52}{5}$
LCM of 4 and 5 = 20
$\therefore\frac{35}{4}=\frac{35\times5}{4\times5}=\frac{175}{20}$
$\frac{52}{5}=\frac{52\times4}{5\times4}=\frac{208}{20}$
$\therefore\frac{35}{4}+\frac{52}{5}+\frac{175}{20}+\frac{208}{20}$
$=\frac{175+208}{20}=\frac{383}{20}=19\frac{3}{20}$

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