Question

Convert the following into fractions in their lowest terms:​
$8.025$

Answer 1

Convert the decimal number into a fraction in its lowest term

Given: $8.025$
$\Rightarrow 8.025=8.025\times \frac{1000}{1000}$
$=\frac{8025}{1000}$

Dividing numerator and denominator by $5$
$=\frac{8025÷5}{1000÷5}$
$=\frac{1605}{200}$

Dividing numerator and denominator again by $5$
$=\frac{1605÷5}{200÷5}$
$=\frac{321}{40}$

Hence, the lowest term of $8.025\text{is}\frac{321}{40}$.