Fraction to Percent- Conversion Formula, Steps, Table, Examples

Fractions and Percent are the two most common mathematical concepts used in daily life. You must have come across these two mathematical entities quite regularly. If you are someone who have studied mathematics, then you must know that you can convert fraction to percent and vice versa. In this article, we will learn about the fraction to percent conversion step by step. We will also check the Fraction to Percent conversion formula for quick calculation.

Fraction to Percent

Fraction and Percent are two parts of the same coin. Before understanding it, let us recall what does a fraction and percent means. In Mathematics, a fraction is described as a component of the entire object. For instance, if a pizza is cut into four equal slices, each slice is denoted by ¼. Fractions make it easier to distribute and compare numbers, leading to quicker calculations. The way fractions are represented is simpler compared to using decimal values.

A percent or percentage in math is a value that can be shown as a fraction out of 100. To find the percentage of a number, divide the number by the total amount and then multiply by 100. Therefore, the percentage represents a fraction per hundred. The term “per cent” indicates out of every 100. The symbol “%” is used to represent it.

Fraction to Percent Conversion

The fraction to percent conversion is one of the common types of problems encountered in both school as well as competitive exams. To grasp the idea of fraction and percent, contemplate that in a class of 38 students, 23 are male. Then, what percentage of students are male?

The answer should be 23 out of 38. It is written as: 23/28. In simpler terms, the fraction 23/38 is approximately equal to 0.60526315789473684210526315789474, which is roughly 60%. That is how, we can interchange a fcation into a percentage and vice versa.

Fraction to Percent Formula

For faster calculation, candidates can use the direct formula for fraction to percent conversion. To change a fraction to percentage, we convert it to a decimal number and multiply it by 100 followed by the symbol %. The formula to convert fraction m/n to percentage is:

Percent Value = m/n * 100

where, m = numerator of the fraction

n = denominator of the fraction

And students must remember that it is compulsory to add the percentage sing (%) sign after the result value.

Fraction to Percent Conversion Steps

Converting fractions into percentages allows for simple comparison and ranking of two quantities. Fractions, decimals, and percentages are concepts that are all connected to each other. There are two major steps involved in the conversion of a fraction into percent. In order to change a fraction into a percent, we must initially convert it to a decimal. To calculate the percentage value, you need to multiply the provided decimal by 100.

The two steps are show below:

• Convert the fraction in a decimal by dividing the numerator by its denominator
• Multiply the decimal result to get the percent value of that fraction

How to Convert Fraction to Percent

To change a fraction into a percentage, convert the fraction to a decimal, multiply the decimal by 100, and include the percentage symbol. Multiplying the fraction by 100, simplifying it, and adding the percentage sign is an alternative method for converting a fraction to a percentage. Let us take an example to understand this conversion.

Suppose we want to convert the fraction 4/5 into percent

Step 1: Change the fraction to a decimal. In order to accomplish this, you should divide the top number by the bottom number.

On following the step 1, we divide 4 by 5 to get the decimal value of 0.8

Step 2: In order to calculate a percentage, you need to multiply the decimal number that you have by 100. The result is the fraction converted into a percentage. Write the percentage as a number followed by the percentage symbol next to the solution.

On following the step 2, we get: 0.8 * 100 = 80 and on adding the percentage symbol, it becomes 80 %. Hence, the percent value for the fraction 4/5 is 80 %.

Another pictorial example of the fraction to percent conversion has been given below for more clarity.

Alternatively, we can also multiply the numerator by 100 and then simplify the obtained value to get the desired result.

For Example: 4/5 * 100 = 400/5

on dividing the 400 by 5, we get 80 and putting the % sign after it makes it 80 %, the desired answer.

Fraction to Percent Table

The table representing the percentage value of different fractions have been provided below for quick consultation. These values are often asked in aptitude test. Make sure that you can derive the following conversions.

Fraction to Percent Example Solutions

Practice the example solutions provided below for mastering this concept.

Example 1: Convert 4 / 16 to percent.

Solution:

Step 1:  Convert the fraction 44/ 16 into decimal

Step 2: 4 / 16 =0.25

Step 3: Multiply the decimal by 100: 0.25  × 100 = 25.00 %

Therefore, the solution is 25.00 %

Example 2: Change 8 / 12 to a percent.

Solution:

Step 1: Convert the fraction 9 / 12 into decimal

Step 2:  9 / 12 = 0.75

Step 3: Multiply the obtained decimal by 100: 0.75  × 100 = 75%

Therefore, the solution is  75%

Example 3: In a football tournament, team Royal has won 7 games out of 8 games played, while team Beast has won 9 out of 10 games played. Which cricket team has a higher percentage of wins?

Solution:

Team Royal has won 7 out of 8 games played, i.e., 7 / 8

Step 1: Convert the fraction 7 / 8 into decimal

Step 2: 7 / 8 = 0.875

Step 3: Multiply the decimal by 100: 0.875  × 100 = 87.5%

Team Beast has won 9 out of 10 games played: 9 / 10

Step 1: Convert the fraction 9 / 10 into decimal

Step 2: 9 / 10 = 0.9

Step 3: Multiply the decimal by 100: 0.9  × 100 = 90%

Team Royal has 87.5% of winning rate, while team Beast has a 90 % winning rate

Therefore, team Beast has a higher percentage of wins with 90 %

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