Question

Write the following decimals as fractions. Reduce the fractions to lowest form:

$2.5$

Answer 1

Step I: Write down $2.5$ divide by $1$.

$2.5=\frac{2.5}{1}$

Step II: Multiply both numerator and denominator by $10$. (As, there is $1$ digit after the decimal point)

$\Rightarrow \frac{2.5}{1}\times \frac{10}{10}$

$\Rightarrow \frac{25}{10}$.

Step III: Reduce the fraction by dividing both the numerator and denominator by highest common factor.

$\Rightarrow \frac{25÷5}{10÷5}$$=\frac{5}{2}$

Therefore, the decimal number $2.5$ can be written as $\frac{5}{2}$.