Question
Simplify: $9\frac{5}{6}-4\frac{3}{8}+2\frac{7}{12}$

Answer

We have, $9\frac{5}{6}-4\frac{3}{8}+2\frac{7}{12}$
$\frac{59}{6}-\frac{35}{8}+\frac{31}{12}$
$\frac{236-105+62}{24}$ [$\because$ $LCM$ of $6, 8$ and $12 = 24$]
$=\frac{298-105}{24}=\frac{193}{24}$
$=8\frac{1}{24}$

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