Question

Write as fraction into the lowest form $0.28$ ?

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.

$\begin{array}{rcl}0.28& =& 0.28\times \frac{100}{100}\\ & =& \frac{0.28\times 100}{100}\\ & =& \frac{28}{100}\end{array}$

Step 2: Find the factors of $28$ and $100$

Factors of $28$ are $1,2,4,7,14$

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

Here, $4$ is the Greatest Common Factor

So, G.C.F of $28$ and $100$ is $4$

Step 3: Divide both numerator and denominator by their GCF

$\frac{28}{100}=\frac{28÷4}{100÷4}=\frac{7}{25}$

Hence, $0.28$ in fraction in its lowest form is $\frac{7}{25}$