Question

How do you write $30\% $ as a fraction?

Answer 1

Hint: A percent means out of one hundred, which implies that if a number is a form of a percentage, then it represents a part from $100$ . To find the number in a fraction, you can divide the percent by $100$ . After doing this, change it into its simplest form to get the required answer.

Complete step-by-step answer:
Here in this problem, we are given a number in percent form, i.e. $30\% $ and we need to express this number in its fraction form.
Before starting with the solution we should understand a few concepts of fractions and percentages. A fraction describes a part of a whole. The number on the bottom of the fraction is called the denominator, and it denotes how many equal parts the whole is divided into. The number on the top of the fraction is called the numerator, and it denotes how many of the parts we are taking.
If the fraction is having a numerator smaller than the denominator, then it is known as the proper fraction. And if the fraction is having a numerator greater than the denominator, then it is known as the improper fraction.
Here in this case we have a number $30\% $ , which is less than $100\% $ , and thus can be converted to in its proper fraction form.
A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount. For changing a fraction into a percentage we multiply it with $100$
For this case, we get:
$ \Rightarrow $ $30\% = \dfrac{{30}}{{100}}$
Now we can change this fraction into its simplest form by dividing numerator and denominator by $10$ as:
$ \Rightarrow 30\% = \dfrac{{30}}{{100}} = \dfrac{{\dfrac{{30}}{{10}}}}{{\dfrac{{100}}{{10}}}} = \dfrac{3}{{10}}$
Hence, we converted the number $30\% $ into fraction as $\dfrac{3}{{10}}$ .

Note:In this question, the use of fundamental concepts of fractions was a crucial part of the solution. Notice that the decimal form of the fraction $\dfrac{3}{{10}}$ will be $0.3$ which is less than one. Remember that the number represented in the form of a percentage is always less than $1$ and in fractional form, it is always a proper fraction.