Converting Fractions to Percent: Steps, Formula, Table, Examples, FAQs

What Is Fractions to Percents Conversion?

Fractions to percents conversion is the method of expressing a given fraction as a percentage. 

A fraction represents a part of the whole. A fraction $\frac{p}{q}$ consists of the numerator (p: top number) that represents the number of parts taken and denominator (q: bottom number), which represents the total number of parts the whole is divided into. For example, $\frac{2}{5}$ means 2 parts taken out of 5 equal parts. 

A percentage is a fraction expressed as a fraction with a denominator of 100. In other words, percentage means a part per hundred. By “per cent” we mean “per 100.” Percent is represented by the symbol “$\%$.” 

Converting fractions to percentages helps in comparing and ordering two quantities easily. Fractions, decimals, and percentages are all interrelated concepts. To convert a fraction to a percent, we can first convert it into a decimal. Multiply the given decimal by 100 to get the percentage value.

How to Convert a Fraction to a Percent

To convert a fraction to a percent, simply convert fraction to decimal, multiply the decimal by 100, and add $\%$ sign. Another way to convert a fraction to a percentage is multiplying the fraction by 100, simplifying it, and adding$\%$ sign. 

Step 1: Convert the fraction into a decimal number. To do this, divide the numerator by the denominator.

Step 2: To get a percent value, multiply the obtained decimal number by 100. The result is the fraction as a percent. Write the percent with $\%$ symbol next to the answer.

Another way is to multiply the fraction by 100 and simplify. The result is the fraction as a percent. Add the $\%$ symbol to the answer.

$\frac{4}{7} = (\frac{4}{7} \times 100)\% = \frac{400}{7}\% = 57.1428…\%$

Fraction to Percentage Formula

To convert a fraction to percent, we convert it to a decimal number and multiply it by 100 followed by the symbol $\%$. 

The formula to convert fraction mn to percentage is:

Percentage $= \frac{m}{n}\times100$

where, $m =$ numerator

            $n =$ denominator

Do not forget to add the “$\%$” sign after the final answer.

Fraction to Percent Conversion Table

Take a look at the fractions to percent conversion chart.

Fraction	Percentage
$\frac{1}{2}$	$50\%$
$\frac{1}{4}$	$25\%$
$\frac{2}{5}$	$40\%$
$\frac{3}{4}$	$75\%$
$\frac{1}{5}$	$20\%$
$\frac{3}{5}$	$60\%$
$\frac{1}{8}$	$12.5\%$
$\frac{1}{10}$	$10\%$
$\frac{3}{10}$	$30\%$
$\frac{9}{10}$	$90\%$

Facts about Fractions to Percent Conversion

Conclusion

In this article, we have learned about fractions and percentages and their conversions. Conversion of fractions and decimals to percentages are very important. They make fractions and percentages of amounts much simpler to visualize and compare. Now, let’s apply the knowledge to solve some examples and practice problems.

Solved Examples on Converting Fractions to Percent

1. Convert each of the fractions to percentages.

1.     $\frac{3}{10}$                   (b)     $\frac{1}{4}$                   (c)     $\frac{1}{2}$

Solution: 

To convert fractions to percentages, we can first convert it to a decimal form and then multiply it by 100.

(a)  $\frac{3}{10}$              

$\frac{3}{10} = 0.3$                

Multiply it by 100 to get the percentage value.                                   

$\frac{3}{10} = (0.3 \times 100)\% = 30\%$                                                             

(b) $\frac{1}{4} = (0.25 \times 100)\% = 25\%$ 

 (c) $\frac{1}{2} = (0.50 \times 100)\% = 50\%$

2. Compare the fractions $\frac{3}{4}$ and $\frac{4}{5}$ by converting them into percentages.

Solution:

Let’s convert these fractions to percentages.

$\frac{3}{4} = (\frac{3}{4} \times 100)\% = (0.75 \times 100)\% = 75\%$    

$\frac{4}{5} = (\frac{4}{5} \times 100)\% = (0.8 \times 100)\% = 80\%$

$75\% \lt 80\%$

Thus, $\frac{3}{4} \lt \frac{4}{5}$

3. Kids at a birthday party finished 6 out of 10 slices of pizza. What percentage of pizza was eaten by kids?

Solution:

6 out of $10 = \frac{6}{10}$

To change this fraction to percentage, we will multiply the fraction by 100.

$\frac{6}{10} = (\frac{6}{10} \times 100)\% = 60\%$

Thus, $60\%$ pizza was consumed.

4. Convert $\frac{3}{25}$ into a percentage.

Solution: 

$\frac{3}{25} =  (\frac{3}{25} \times 100)\%$ 

$\frac{3}{25} = \frac{300}{25}\%$

$\frac{3}{25} = 12\%$

Practice Problems on Fractions to Percent Conversion

Frequently Asked Questions about Converting  Fractions to Percent