Question

What percentage is equivalent to ${\displaystyle \frac{3}{8}}$ ?

Answer 1

Hint: To convert it into a percentage, we need to multiply with $100$ to get a solution. It’s common for every problem. It is easy to convert a fraction into percentage because we just have to make the denominator equal to $100$. We multiply a common number to both numerator and denominator so that the fraction remains unchanged.

Complete step-by-step answer:
Considering the given problem, we have to convert the given fraction ${\displaystyle \frac{3}{8}}$ into percentage.
To convert this fraction into percentage, let’s make the denominator $100$ by multiplying the numerator and denominator by the same number so as not to change the fraction.
So, to make the denominator equal to $100$, we have to multiply both the numerator and denominator by $12.5$. So, we get,
$${\displaystyle \frac{3}{8}}\times {\displaystyle \frac{12.5}{12.5}}={\displaystyle \frac{37.5}{100}}$$
So, the given fraction ${\displaystyle \frac{3}{8}}$ can be represented as $37.5\mathrm{\%}$.
So, the correct answer is “$37.5\mathrm{\%}$”.

Note: Here in the percentage topic if the denominator value is very much greater than the numerator, the percentage value will be very small. If the denominator value is nearly greater than when compared to the numerator, then the percentage value will be large. Percentage is also compared with the ratio. Many topics like Mixture and allegation and Profit and loss use this ratio method to solve many problems.