Question

How do you write ${\displaystyle \frac{3}{20}}$ as a decimal?

Answer 1

Hint: In this question we have been asked to convert the given number ${\displaystyle \frac{3}{20}}$ into decimal. For converting into decimal we will multiply both the numerator and the denominator with 5. After doing that the simplified and reduced number is the required decimal form.

Complete step by step solution:
Now considering from the question we have been asked to convert the given number ${\displaystyle \frac{3}{20}}$ into decimal.
For converting into decimal we will multiply both the numerator and the denominator with 5. After doing that the simplified and reduced number is the required decimal form.
By performing this arithmetic operation on the given fraction we will have ${\displaystyle \frac{3}{20}}={\displaystyle \frac{3\times 5}{20\times 5}}\Rightarrow {\displaystyle \frac{15}{100}}=0.15$ .
Hence, ${\displaystyle \frac{3}{20}}$ can be expressed as 0.15 in decimal.

Therefore we can conclude that the given number ${\displaystyle \frac{3}{20}}$ can be expressed as $0.15$ in decimals.

Note: This is a very easy and simple question and can be answered accurately in a short span of time. Very few mistakes are possible in this type of question. During the process of answering questions of this type we should carefully perform the calculations. For example if we had calculated wrongly during decimal conversion and written it as ${\displaystyle \frac{3}{20}}={\displaystyle \frac{3\times 5}{20\times 5}}\Rightarrow {\displaystyle \frac{10}{100}}=0.1$ which is a wrong answer clearly. Similarly we can perform other calculation mistakes for example if we take a wrong consideration and written the calculation as $\Rightarrow {\displaystyle \frac{3}{20}}={\displaystyle \frac{3}{20\times 5}}\Rightarrow {\displaystyle \frac{3}{100}}=0.03$ this will lead to wrong conclusion and we will end up have a wrong answer. So be careful and avoid this type of calculation mistakes.