Question

Convert $0.35$ to a fraction in lowest terms

Answer 1

Step 1: Convert the decimal to decimal fraction -

For converting any decimal to decimal fraction, we remove the decimal and we write ${10}^x$ in the denominator, where $x$ represents the number of digits after decimal -

$\begin{array}{rcl}0.35& =& \frac{35}{{10}^2}\\ & =& \frac{35}{100}\end{array}$

Step 2: Reduce the fraction to the lowest term -

HCF of $35\&100$ -

$\begin{array}{rcl}35& =& 5\times 7\\ 100& =& 2\times 2\times 5\times 5\end{array}$

HCF $=5$

Divide both the numerator and denominator by HCF -

$\frac{35}{100}=\frac{35÷5}{100÷5}=\frac{7}{25}$

Hence, $0.35$ in fractional form is $\frac{7}{25}.$