60 Percent as a Fraction in Simplest Form with Steps

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.