How to Simplify 60% into a Fraction: Step-by-Step Guide
Any mathematical number could be written in the form of a fraction. In general, fraction means the proportion or part of something. For example, $\frac{1}{2}$ is 50%, $\frac{1}{4}$ is 25%, and so on. If you give one-half ($\frac{1}{2}$) of your chocolates to your best friend, then you give 50% of your chocolates to him. All fractions can be expressed as percentages and vice-versa. The fraction value of 60% is $\frac{3}{5}$. In the following sections, how to write the fraction of 60 percent and some other interesting information on the fractional value of 60% are discussed.
60 Percent as a Fraction in the Simplest Form
To convert 60% into a fraction, we first need to know what is the meaning of percent and fraction. Percent means the value per hundred or for every hundred while fraction represents a part of a whole number or thing. The conversion of a percentage to a fraction is a two-step process. It involves the following steps.
Step 1. Remove the percentage symbol and divide by 100.
Step 2: Simplify the fraction by reducing the method.
By following the above-given steps, we can convert the 60 percent into a fraction.
Step 1. 60 % = $\frac{60}{100}$
Step 2. Reduce the fraction $\frac{60}{100}$
=$\frac{60}{100}$
= $\frac{3}{5}$
So, the fraction value of 60 % is $\frac{3}{5}$.
Did You Know?
Can you write the fraction $\frac{3}{5}$ in percentage? It is very easy to write any number or fraction as a percent. It is also a two-step process.
Step 1: Multiply the given fraction by 100 and add the % sign with it.
Step 2: Simplify the fraction and write the answer in integer or decimal numbers.
Here, $\frac{3}{5}$ can be written in percentage as:
Step 1: $\frac{3}{5}$ x 100 %
Step 2: $\frac{3}{1}$ｘ 20 = $\frac{60}{1}$ = 60 %
So, $\frac{3}{5}$ can be written as 60%.
Similarly, we can write any number in percentage.
Conversion from Fraction to Percent and Percent to Fraction
Objective Type Questions
Question. Which of the following fraction values is equivalent to 60%?
a. 2/5 b. 8/5 c. 6/5 d. 3/5
Solution:
a. $\frac{2}{5}$ can be written in percentage as:
Step 1: $\frac{2}{5}$ x 100 %
Step 2: $\frac{2}{1}$ｘ 20 = $\frac{40}{1}$ = 40 %
So, $\frac{2}{5}$ can be written as 40%.
b. 8/5 can be written in percentage as:
Step 1: $\frac{8}{5}$ x 100 %
Step 2: $\frac{8}{1}$ｘ 20 = 160 = 160 %
So, $\frac{8}{5}$ can be written as 160%.
c. 6/5 can be written in percentage as:
Step 1: $\frac{6}{5}$ x 100 %
Step 2: $\frac{6}{1}$ｘ 20 = 120 = 120 %
So, $\frac{8}{5}$ can be written as 120%.
d. $\frac{3}{5}$ can be written in percentage as:
Step 1: $\frac{8}{5}$ x 100 %
Step 2: $\frac{8}{1}$ ｘ 20 = 60 = 60 %
Therefore, the (d) option is correct.
Conclusion
In this article, we have learned the fraction of 60 %. We also learned the steps to convert any percentage value to its equivalent fraction. A clear understanding of this concept will you to solve sums from several other chapters.
FAQs on 60 Percent as a Fraction in Simplest Form
1. How do you express 60 percent as a fraction in its simplest form?
To express 60 percent as a fraction, you first write it as 60 out of 100, or 60/100. To simplify this fraction, you find the greatest common divisor (GCD) of the numerator (60) and the denominator (100), which is 20. Dividing both by 20 gives you 3/5, which is the simplest form.
2. What are the exact steps to convert 60% into a fraction?
Converting 60% into a fraction involves a clear, two-step process as per the NCERT methodology for the 2025-26 session:
Step 1: Remove the percentage sign (%) and write the number over 100. This gives you the initial fraction: 60/100.
Step 2: Simplify the fraction to its lowest terms. Divide both the numerator and the denominator by their greatest common divisor (20). This results in the final answer: 3/5.
3. Why is it important to simplify the fraction 60/100 to 3/5?
Simplifying 60/100 to 3/5 is a crucial step because 3/5 is the standard form of the fraction. In mathematics, presenting fractions in their simplest form makes them easier to understand, compare, and use in further calculations. For example, it's much simpler to visualise 3 parts out of 5 than it is to visualise 60 parts out of 100, even though they represent the same value.
4. Can you provide a real-world example where 60% is used as the fraction 3/5?
Certainly. Imagine a pizza cut into 5 equal slices. If you and your friends eat 3 of those slices, you have eaten 3/5 of the pizza. To express this as a percentage, you would calculate (3 ÷ 5) × 100, which equals 60%. So, eating 3 out of 5 slices is a real-world example of consuming 60% of the whole.
5. How are the fraction (3/5), the decimal (0.6), and the percentage (60%) related?
Fractions, decimals, and percentages are three different ways to represent the same numerical value. They are interchangeable forms:
60% means '60 per 100'.
The fraction 60/100 simplifies to 3/5.
If you divide 3 by 5, you get the decimal 0.6.
All three formats—3/5, 0.6, and 60%—represent the exact same portion of a whole.
6. What is the most common mistake students make when converting percentages like 60% to fractions?
The most common mistake is forgetting to simplify the initial fraction. Many students correctly write 60% as 60/100 but stop there. While technically correct, it is not the final answer. In CBSE and other standard curricula, you are always expected to reduce a fraction to its lowest terms. Forgetting to simplify 60/100 to 3/5 is often where marks are lost.
7. How can you check if the fraction 3/5 is the correct value for 60%?
To verify your answer, you can perform the reverse operation: convert the fraction back to a percentage. Take the fraction 3/5 and multiply it by 100. The calculation is (3/5) × 100. This equals 300 ÷ 5, which gives you 60. By adding the percent sign (%), you get 60%, confirming that your fraction is correct.
