Question

Write as fraction into lowest form $0.06?$

Answer 1

Step 1:Remove the decimal point

As there are two digits after the decimal. So multiply and divide the decimal by $100$ to remove decimal.

$\begin{array}{rcl}0.06& =& 0.06\times \frac{100}{100}\\ & =& \frac{0.06\times 100}{100}\\ & =& \frac{60}{100}\end{array}$

Step 2: Find the greatest common factor of $60$ and $100$

Factors of $60$ are $1,2,3,4,5,6,10,12,15,20,30,60$

Factors of $100$ are $1,2,4,5,10,20,25,50,100$.

Here is $20$ greatest common factor.

Step 3: Divide both numerator and denominator by their GCF

$\frac{60}{100}=\frac{60÷20}{100÷20}=\frac{3}{5}$

Hence, $0.06$ in fraction in its lowest form is $\frac{3}{5}$