Question

Write as fraction into its lowest form $0.008$ ?

Answer 1

Step 1:Remove the decimal point

As there are three digits after the decimal. So multiply and divide the decimal by $1000$ to remove decimal.

$\begin{array}{rcl}0.008& =& 0.008\times \frac{1000}{1000}\\ & =& \frac{0.008\times 1000}{1000}\\ & =& \frac{8}{1000}\end{array}$

Step 2: Find the greatest common factor of $8$ and $100$

Factors of $8=1,2,4$

Factors of $1000=1,2,4,5,8,10,20,25,40,50,100,125,200,250,500$

Here, $8$ is the Greatest Common Factor

Step 3: Divide both numerator and denominator by their GCF

$\frac{8}{1000}=\frac{8÷8}{1000÷8}=\frac{1}{125}$

Hence, $0.008$ in fraction in its lowest form is $\frac{1}{125}$