Question

Question 80

Express $3\frac{2}{5}$ as a decimal.

Answer 1

In order to convert fraction into decimal, we first convert it into an equivalent fraction with denominator 10 or 100 or 1000 and then write its numerator and mark decimal point after one place on two place or three placess from right towards left, if the denominator is 10 of 100 or 1000 respectively.

If the numerator is short of digits, insert zeroes at the left of the numerator.

$\therefore 3\frac{2}{5}=\frac{5\times 3+2}{5}=\frac{17}{5}[\because \text{Mixed fraction}=\text{Whole}\frac{\text{Numerator}}{\text{Denominator}}=\frac{\text{Whole number}\times \text{Denominator + Numerator}}{\text{Denominator}}]$

Now, $\frac{17\times 2}{5\times 2}=\frac{34}{10}=3.4$

$\therefore 3\frac{2}{5}=3.4$