Question

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

Answer 1

We have,

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

= $\frac{59}{6}-\frac{35}{8}+\frac{31}{12}$

= $\frac{236-105+62}{24}$ [∵ LCM of 6, 8 and 12 = 24]

= $\frac{298-105}{24}$= $\frac{193}{24}=8\frac{1}{24}$