Question

How do you write \[24/25\] as a percent?

Answer 1

Hint: To solve this question, we first need to express the given number in the form of a decimal. For that, we have to carry out the required division. Then multiplying the resulting decimal number by a hundred, we will get the required percentage value.

Complete step-by-step solution:
According to the question, the number to be converted to percentage is \[24/25\].
Let us write this number in the following equation as
\[n = \dfrac{{24}}{{25}}\]
Now, for converting the given number into percent, we first have to convert it in the decimal form from the given fractional form.
For that, we have to divide the numerator by the denominator.
On carrying out the division, we get the number in the decimal form as
\[n = 0.96\]…………………………..\[\left( 1 \right)\]
Now, for converting the number to the percent, we have to multiply the decimal form of the number by a hundred.
So the percentage form of the given number becomes
\[n\% = n \times 100\]
Putting \[n = 0.96\] in the above equation, we have
\[ \Rightarrow n\% = 0.96 \times 100\]
Multiplying the terms, we get
\[ \Rightarrow n\% = 96\% \]

Hence, the given number \[24/25\] is written as \[96\% \], as a percent.

Note: The percent corresponding to a number indicates to what amount out of one hundred it contributes to. That’s why we multiplied the given number by a hundred. Since the percentage of a number is a part of one hundred, it is always less than or equal to one hundred. The percentage representation of a number is generally preferred over the decimal representation. It is generally used to indicate the discount on a purchasable unit, the result of a student, etc.