Question

Convert the following into a decimal:
$2\frac{19}{40}$

Answer 1

Given: $2\frac{19}{40}$

$2\frac{19}{40}=\frac{99}{40}$

We have:
$2\frac{19}{40}=2+0.475=2.475$

(OR)

$2\frac{19}{40}$

$=\frac{80+19}{40}$

$=\frac{99}{40}$

$=\frac{99}{2^3\times 5}$

$=\frac{99}{2^3\times 5}\times \frac{5^2}{5^2}$

$=\frac{99\times 5^2}{2^3\times 5^3}$

$=\frac{99\times 25}{(10{)}^3}$

$=\frac{2475}{1000}$

$=2.475$

$\therefore 2\frac{19}{40}=2.475$