Question

Add the following fractions.

(i) $1\frac{3}{4}and\frac{3}{8}$

Answer 1

Step 1: Convert the mixed fraction into improper fraction

Given fractions: $1\frac{3}{4}and\frac{3}{8}$

$1\frac{3}{4}=\frac{4+3}{4}=\frac{7}{4}$

Step 2: Convert the fractions into like fractions

LCM of denominators $4,8=8$

$\frac{7}{4}=\frac{7\times 2}{4\times 2}=\frac{14}{8}$

$\frac{3}{8}=\frac{3\times 1}{8\times 1}=\frac{3}{8}$

Step 3: Adding the fractions and converting into mixed fraction

$\frac{14}{8}+\frac{3}{8}=\frac{17}{8}$


Using $\text{Quotient}\frac{\text{Remainder}}{\text{Divisor}}$ we have:

$\frac{17}{8}=2\frac{1}{8}$

Hence, $2\frac{1}{8}$ is the required answer.