Question

Add the following fractions.​ ​
$\frac{2}{5},2\frac{3}{15}\text{and}\frac{7}{10}$

Answer 1

Step 1: Converting the mix fraction into imprper fraction
Given fraction is $\frac{2}{5},2\frac{3}{15}\text{and}\frac{7}{10}$

$2\frac{3}{15}=\frac{2\times 15+3}{15}=\frac{33}{15}$

Step 2: Converting the fraction into like fractions

$\frac{2}{5}=\frac{2\times 6}{5\times 6}=\frac{12}{30}$

$\frac{33}{15}=\frac{33\times 2}{15\times 2}=\frac{66}{30}$

$\frac{7}{10}=\frac{7\times 3}{10\times 3}=\frac{21}{30}$

Step 3: Adding the fraction and converting into mixed fraction

$\frac{12}{30}+\frac{66}{30}+\frac{21}{30}$

$=\frac{12+66+21}{30}$

$=\frac{99}{30}=\frac{33}{10}$



Using, $\text{Quotient}\frac{\text{Remainder}}{\text{Divisor}}$ we have
$\frac{33}{10}=3\frac{3}{10}$
Hence $3\frac{3}{10}$ is the required answer.