Question

Simplify:

(ii) $2\frac{3}{4}-1\frac{5}{6}$

Answer 1

Step 1: Converting the mixed fractions into improper fractions

$\Rightarrow 2\frac{3}{4}=\frac{2\times 4+3}{4}=\frac{11}{4}$

$\Rightarrow 1\frac{5}{6}=\frac{6\times 1+5}{6}=\frac{11}{6}$

Step 2: Converting the fractions into like fractions

$\frac{11}{4}=\frac{11\times 3}{4\times 3}=\frac{33}{12}$

$\frac{11}{6}=\frac{11\times 2}{6\times 2}=\frac{22}{12}$

Step 3: Subtracting the fractions

$\frac{33}{12}-\frac{22}{12}$

$=\frac{33-22}{12}$

$=\frac{11}{12}$

Since $\frac{11}{12}$ is a proper fraction we do not need to convert it to mixed fraction.

Hence, $\frac{11}{12}$ is the required answer.