Question

Write as fraction into lowest term $0.25?$

Answer 1

Step 1:Remove the decimal point

As there are two digits after decimal so multiply and divide the decimal by $100$

$\begin{array}{rcl}0.25& =& 0.25\times \frac{100}{100}\\ & =& \frac{0.25\times 100}{100}\\ & =& \frac{25}{100}\end{array}$

Step 2: Find the greatest common factor of $25$ and $100$

Prime factorisation of $25$ and $100$ are $\left(5\times 5\right)$ and $\left(2\times 2\times 5\times 5\right)$ respectively.

The common prime factors in $25$ and $100$ are $5\times 5$

Hence, the G CF of $25$ and $100$ is $5\times 5=25$

Step 3: Divide both numerator and denominator by their GCF

$\frac{25}{100}=\frac{25÷25}{100÷25}=\frac{1}{4}$

Hence, $0.25$ in fraction in it lowest form is $\frac{1}{4}$