Question

Add the following fractions:
$2\frac{8}{9},\frac{11}{18}\text{and}3\frac{5}{6}$

Answer 1

Step 1: Converting all the mixed fractions into improper fractions
$2\frac{8}{9}=\frac{2\times 9+8}{9}=\frac{26}{9}$

$3\frac{5}{6}=\frac{3\times 6+5}{6}=\frac{23}{6}$

Step 2: Convert all the fractions into like fractions
$\frac{26}{9}=\frac{26\times 2}{9\times 2}=\frac{52}{18}$

$\frac{11}{18}=\frac{11\times 1}{18\times 1}=\frac{11}{18}$

$\frac{23}{6}=\frac{23\times 3}{6\times 3}=\frac{69}{18}$

Step 3: Adding all the fractions and converting into mixed fraction

$=\frac{52+11+69}{18}$

$=\frac{132}{18}$
Using $\text{quotient}\frac{\text{remainder}}{\text{divisor}}$ we have,

the required answer $=7\frac{1}{3}$