Question

How do you write the percent \[5\% \] as a fraction?

Answer 1

Hint: Here, we will find the fraction of the given number. We will find the fraction of a given number which is in the form of percent by using the concept of Percentage. Thus, the fraction of a given number is the required answer.

Complete Step by Step Solution:
We are given a number which is in the form of percent \[5\% \].
Let \[x\] be the given percent.
\[ \Rightarrow x = 5\% \]
Now, we will divide the given percent by 100.
\[ \Rightarrow \dfrac{x}{{100}} = \dfrac{5}{{100}}\]
If the percent is not a whole number, then we will multiply 10 for each number after the decimal point. But the given number is a whole number.
Now, we will simplify the fraction by dividing by 5 both in the numerator and the denominator, we get
\[ \Rightarrow \dfrac{x}{{100}} = \dfrac{1}{{20}}\]

Therefore, the fraction representing the given percent \[5\% \] is \[\dfrac{1}{{20}}\].

Additional Information:
We will follow the steps while writing a percent which is in the form of decimals into the fraction. We will count the number of digits after the decimal point which is represented by \[d\] . Now, we will convert the decimal number into an integer by using the formula \[f = {10^d}\] where \[f\] is the factor. We will multiply and divide the decimal number by the factor. We will find the GCD for the numerator and the denominator. We will simplify the fraction by dividing the GCD value both in the numerator and in the denominator. Thus, we will get the percent in fraction.

Note:
We know that Percentage is defined as a ratio representing as a fraction of 100. If we need to find the percent of a number then we divide the number by the total number and multiply the result by 100. Percent represents the number per cent or the number per hundred. Percent is represented by the symbol \[\%\]. Percentages can be represented in the decimal form or in the fractional form. Percentage has no dimensions.