Question

Convert the following into fractions in their lowest terms:
(i) 2.405
(ii) 0.085
(iii) 8.025

Answer 1

(i) 2.405
We can write it as
$=\frac{2405}{1000}$
Here the HCF of 2405 and 1000 is 5
$=\frac{(2405÷5)}{(1000÷5)}$
So we get
$=\frac{481}{200}$

(ii) 0.085
We can write it as
$=\frac{85}{1000}$
Here the HCF of 85 and 1000 is 5
$=\frac{(85÷5)}{(1000÷5)}$
So we get
$=\frac{17}{200}$
(iii) 8.025
We can write it as
$=\frac{8025}{1000}$
Here the HCF of 8025 and 1000 is 25
$=\frac{(8025÷25)}{(1000÷25)}$
So we get
$=\frac{321}{40}$