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Fraction Value of 60 Percent

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Last updated date: 11th Aug 2024
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What is the Fractional Value of 60%?

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 Fraction Value of 60 Percent

1. How to convert percentage value to its equivalent fraction?

It is very easy to convert any percentage value into its equivalent fraction. This process involves two steps, which are:

Step 1: Remove the sign of percentage and divide the number by 100.

Step 2: Reduce the expression to its lowest term.

2. How to convert a fraction to its equivalent percentage value?

To convert any fractional number to its equivalent percentage value, follow the below-given steps:

Step 1: Multiply 100 to the given fractional number and add the percent sign (%).

Step 2: Simplify the expression.

If a number is in decimal form, then first we need to convert the number into a fraction, then follow the above-given steps to convert a fraction into a percentage value.