Question

Evaluate : $1\frac{5}{6}+4\frac{1}{2}-2\frac{1}{12}$.

Answer 1

Step 1. converting mixed fractions into improper fractions.

$=\frac{(1\times 6)+5}{6}+\frac{(4\times 2)+1}{2}-\frac{(2\times 12)+1}{12}$

$=\frac{11}{6}+\frac{9}{2}-\frac{25}{12}$

Step 2. After step 1, we have to take L.C.M of denominators of all fractions.

L.C.M of $6,2$and $12$ $=2\times 2\times 3$

$=12$.

Step 3. After taking L.C.M of $6,2$ and $12$ , following the given calculation.

$=\frac{11}{6}+\frac{9}{2}-\frac{25}{12}$

$=\frac{(11\times 2)+(9\times 6)-(25\times 1)}{12}$

$=\frac{(22+45)-\left(25\right)}{12}$

$=\frac{67-25}{12}$

$=\frac{42}{12}$

Hence, the required answer is $\frac{42}{12}$.