Question

Convert the following into fraction:
 56%
A.${\displaystyle \frac{50}{100}}$
B.${\displaystyle \frac{14}{25}}$
C.$56\times 100$
D.${\displaystyle \frac{23}{50}}$

Answer 1

Hint: In order to solve this question, we need to know what is a percentage. Then, from there, we might be able to think about how to convert a percentage into a fraction.

Complete step-by-step answer:
Definition of Percent: Percent, as the name suggests, Per – Cent, i.e. per century. Therefore, every number after which there is a percent, can be seen as that specific number divided by century. Hence, conversion of percent to fraction is in the name itself. All we need to do is to divide the number by century, i.e. 100 , remove the percent symbol, and then if we can cancel out the common factor, we can do that to simplify the fraction into its simplest form.
Therefore, for converting 56% into fraction, we need to divide 56 by 100 , remove the percent symbol, and cancel out any common factor of 56 and 100 . The Process is as follows:
 56% =${\displaystyle \frac{56}{100}}={\displaystyle \frac{23\times 2}{50\times 2}}={\displaystyle \frac{23}{50}}$ .
Hence, 56% is equivalent to ${\displaystyle \frac{23}{50}}$ in a fraction.
Therefore, D. ${\displaystyle \frac{23}{50}}$ , is the correct option.

Note: While doing the calculation, we need to be very careful about the cancelation process, as many times what we tend to do is try to do the cancelation process in our mind and we cancel either in the numerator or the denominator and then forget to cancel in the other. This is a very common silly mistake. For the reverse process, all we need to do is multiply by 100, and write the percent symbol.