Question

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

$13.7$

Answer 1

Step I: Write down $13.7$ divide by $1$.

$13.7=\frac{13.7}{1}$

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

$\Rightarrow \frac{13.7}{1}\times \frac{10}{10}$

$\Rightarrow \frac{137}{10}$.

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

The fraction $\frac{137}{10}$ cannot be reduced further.

Therefore, the decimal number $13.7$ can be written as $\frac{137}{10}$.