Question

Convert the following into fractions in their lowest terms:​
$3.75$

Answer 1

Convert the decimal number into a fraction in its lowest term​

Given: $3.75$

$\Rightarrow 3.75=\frac{375}{100}$

$\therefore \text{H.C.F. of}375\text{and}100\text{is}25.$

Dividing numerator and dinominator by $25$

$\frac{375}{100}=\frac{375÷25}{100÷25}$
$=\frac{15}{4}$

Hence, the lowest term of $3.75\text{is}\frac{15}{4}.$

Convert the decimal number into a fraction in its lowest term​

Given: $3.75$
$\Rightarrow 3.75=3.75\times \frac{100}{100}$
$=\frac{375}{100}$

​Dividing numerator and dinominator by $5$.
$=\frac{375÷5}{100÷5}$
$=\frac{75}{20}$

Dividing numerator and dinominator again by $5$
$=\frac{75÷5}{20÷5}$
$=\frac{15}{4}$

Hence, the lowest term of $3.75\text{is}\frac{15}{4}.$