Question

How do you write $137.5\mathrm{\%}$ as a fraction?

Answer 1

Hint: In order to calculate the fraction equivalent of any number, divide the given number with the number 100 and remove the percent symbol. Since the numerator you will obtain after this step is in decimal form. So to remove this decimal point, calculate the number of digits after the decimal point and divide the numerator with 10 raised to power that number i.e. 1 and remove the decimal point. Simplify the fraction to get your required result.

Complete step-by-step answer:
 We are given a percent value as $137.5\mathrm{\%}$ .
To convert any percent value into its equivalent fraction divide the given number with the number 10 raised to the power 2 or simply divide it with 100 and remove the percent symbol in the end.
So , dividing the given percent by 100 ,we get
 $={\displaystyle \frac{137.5}{100}}$
Since the numerator is in decimal form, so removing the decimal point by dividing the numerator with 10 raised to the power no of digits written after the decimal point i.e. 1 and removing the decimal point in the end.
We get our fraction as
 $$\begin{gathered} ={\displaystyle \frac{{\displaystyle \frac{1375}{10}}}{100}} \\ ={\displaystyle \frac{1375}{1000}} \end{gathered}$$
Simplifying the fraction, we get
 $={\displaystyle \frac{275}{200}}={\displaystyle \frac{55}{40}}={\displaystyle \frac{11}{8}}$
Therefore, the fraction of percent $137.5\mathrm{\%}$ is ${\displaystyle \frac{11}{8}}$ .
So, the correct answer is “ ${\displaystyle \frac{11}{8}}$ ”.

Note: 1. Don’t Forgot to remove the decimal point in the end .
2. To calculate fraction from the percentage , divide the given percentage value by 100
For example: We have to write $70\mathrm{\%}$ into fraction
 $$\begin{gathered} ={\displaystyle \frac{70}{100}} \\ ={\displaystyle \frac{7}{10}} \end{gathered}$$
Or
 $=0.7$