Question

How do you convert 0.216 into a percent and fraction?

Answer 1

Hint: A term divided into two parts by a horizontal line is called a fraction, the upper part is called the numerator and the lower term is called the denominator. We can convert a decimal into a fraction by multiplying and dividing the decimal with the power of 10 equal to the number of digits on the right side of the decimal. A percentage is the value obtained when a number or ratio is expressed as a fraction of 100, it is represented by the symbol "%". With the help of these definitions, we can find out the correct answer.

Complete step-by-step answer:
We are given the decimal 0.216, we convert it into percent form as follows –
 $
  0.216 = 0.216 \times 100\% \\
   \Rightarrow 0.216 = 21.6\% \;
  $
To convert 0.216 into fraction, we multiply and divide it by 1000 –
 $ 0.216 = \dfrac{{216}}{{1000}} $
This fraction can be further simplified by expressing the numerator and the denominator as a product of their prime factors and then dividing both the numerator and the denominator by their common factors –
 $ 0.216 = \dfrac{{216}}{{1000}} = \dfrac{{27}}{{125}} $
Hence, 0.216 in percent form is $ 21.6\% $ and in fraction form is $ \dfrac{{27}}{{125}} $
So, the correct answer is “ $ \dfrac{{27}}{{125}} $ ”.

Note: We can convert the decimal directly into a percentage by multiplying the decimal by 100 or we can first convert the decimal into a fraction and then convert the fraction into a percentage by multiplying the obtained fraction by 100. By following the above-mentioned procedure, we can solve similar questions.