Simplify:71 3 +32 3 +51 6 - Vidyadip

Question

Simplify:$7\frac{1}{3}+3\frac{2}{3}+5\frac{1}{6}$

✓

Answer

Given: $7\frac{1}{3}+3\frac{2}{3}+5\frac{1}{6}$$=\frac{7\times3+1}{3}+\frac{3\times3+2}{3}+\frac{5\times6+1}{6}$
$=\frac{22}{3}+\frac{11}{3}+\frac{31}{6}$
$=\frac{22\times2}{3\times2}+\frac{11\times2}{3\times2}+\frac{31\times1}{6\times1}$ $($because $LCM$ of $3, 3$ and $6$ is $6)$
$=\frac{44}{6}+\frac{22}{6}+\frac{31}{6}$
$=\frac{44+22+31}{6}$
$=\frac{97}{6}$

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