Fraction to Percent Conversion

Fractions and percent are the two terms we generally use in comparing quantities. Percentage or percent refers to the fractions of a whole, while percent is how much of the whole thing and is easier to remember than a fraction.

To understand the concept of fraction and percent, consider that if a class has 38 students – among them 23 are female. Now, what is the percentage of female students? It is 23 out of 38. To simplify: \(\small \frac{23}{38} = 0.6052631578900001 \) or about \(\small 60 \% \). To know how to convert fractions to percent, you need to know the formula for a fraction to percent conversion. Before that let’s discuss fraction and percent in detail.

What is a Fraction?

The term fraction acts as a number of equal parts or a part of a whole quantity. In other words, it represents how many parts of a certain size divided the whole quantity. A simple fraction \(\small \frac{1}{2}\) consists of a numerator and a denominator. The numerator is the written above the line, while the denominator is written below.

The numerator indicates a number of equal parts of a whole, while the denominator represents how many parts consists a whole, which cannot be zero. For example, the fraction \(\small \frac{3}{4}\). Here the numerator is 3 – that means three equal parts and the denominator is 4 – indicating four parts make up a whole.

What is a Percent?

The term percent is a ratio or a number that is expressed as a fraction of 100. It is denoted using the percentage sign \(\small \% \). To understand the concept how the percent represents the fraction of 100 here is an example. \(\small 35 \% \) can be written in fraction as \(\small \frac{35}{100}\). In class, 50% of the students were male, which means out of every 100 students 50 were male.

How to Convert Fraction to Percent

Convert fraction to a percent, you just need to multiply the fraction by 100 and reduce it to percent. Here are few examples that will give you a clear understanding of how to convert fraction to a percent. You can also use our online fraction to percent calculator for effortless conversion.

Fraction to Percent Conversion Table

Fraction

Percent

\( \frac{1}{2}\)

\(\small 50\%\)

\( \frac{1}{3}\)

\(\small 33.33 \%\)

\( \frac{2}{3}\)

\(\small 66.67 \%\)

\( \frac{1}{4}\)

\(\small 25\%\)

\( \frac{2}{4}\)

\(\small 50\%\)

\( \frac{3}{4}\)

\(\small 75\%\)

\( \frac{1}{5}\)

\(\small 20\%\)

\( \frac{2}{5}\)

\(\small 40\%\)

\( \frac{3}{5}\)

\(\small 60\%\)

\( \frac{4}{5}\)

\(\small 80\%\)

\( \frac{1}{6}\)

\(\small 16.67\%\)

\( \frac{2}{6}\)

\(\small 33.33\%\)

\( \frac{3}{6}\)

\(\small 50\%\)

\( \frac{4}{6}\)

\(\small 16.67\%\)

\( \frac{5}{6}\)

\(\small 83.33\%\)

\( \frac{1}{7}\)

\(\small 14.285714\%\)

\( \frac{2}{7}\)

\(\small 28.571429\%\)

\( \frac{3}{7}\)

\(\small 42.857143 \%\)

\( \frac{4}{7}\)

\(\small 57.142858 \%\)

\( \frac{5}{7}\)

\(\small 71.428571 \%\)

\( \frac{6}{7}\)

\(\small 85.714286\%\)
\( \frac{1}{8}\)

\(\small 12.5 \%\)

\( \frac{2}{8}\)

\(\small 25\%\)
\( \frac{3}{8}\)

\(\small 37.5 \%\)

\( \frac{4}{8}\)

\(\small 50\%\)
\( \frac{5}{8}\)

\(\small 62.5\%\)

\( \frac{6}{8}\)

\(\small 75\%\)
\( \frac{7}{8}\)

\(\small 87.5\%\)

\( \frac{1}{9}\)

\(\small 11.111111 \%\)
\( \frac{2}{9}\)

\(\small 22.222222 \%\)

\( \frac{3}{9}\)

\(\small 33.333333 \%\)
\( \frac{4}{9}\)

\(\small 44.444444 \%\)

\( \frac{5}{9}\)

\(\small 55.555556 \%\)
\( \frac{6}{9}\)

\(\small 66.666667 \%\)

\( \frac{7}{9}\)

\(\small 77.777778 \%\)
\( \frac{8}{9}\)

\(\small 88.888889 \%\)

\( \frac{1}{10}\)

\(\small 10 \%\)
\( \frac{2}{10}\)

\(\small 20 \%\)

\( \frac{3}{10}\)

\(\small 30 \%\)
\( \frac{4}{10}\)

\(\small 40 \%\)

\( \frac{5}{10}\)

\(\small 50 \%\)
\( \frac{6}{10}\)

\(\small 60 \%\)

\( \frac{7}{10}\)

\(\small 70 \%\)
\( \frac{8}{10}\)

\(\small 80 \%\)

\( \frac{9}{10}\)

\(\small 90 \%\)

Examples of Fraction to Percent

Example 1: Convert \(\small \frac{3}{4}\) to a percent.

Solution:

Step 1: Multiply both numerator and denominator by 25. Because by multiplying the denominator with 25 we get 100.

Step 2: \(\small 3 \times 25 = 75\) and \(\small 4 \times 25 = 100\)

Step 3: Now, we got \(\small \frac{75}{100}\)

Step 4: Reduce the fraction: \(\small \frac{75}{100} = 75\%\)

The answer is \(\small 75\%\)

Example 2: Convert \(\small \frac{3}{16}\) to a percent.

Solution:

Step 1: Multiply both numerator and denominator by 6.25. Because by multiplying the denominator with 6.25 we get 100.

Step 2: \(\small 3 \times 6.25 = 18.75\) and \(\small 16 \times 6.25 = 100\)

Step 3: Now, we got \(\small \frac{18.75}{100}\)

Step 4: Reduce the fraction: \(\small \frac{18.75}{100} = 18.75 \%\)

The answer is \(\small 18.75 \%\)

Example 3: In a cricket tournament, team Red has won 7 games out of 8 games played, while team Blue has won 19 out of 20 games played. Which cricket team has higher percentage of wins?

Solution:

Team Red: Won 7 out of 8 games played: \(\small \frac{7}{8}\)

Step 1: Multiply both numerator and denominator by 12.5. Because by multiplying the denominator with 12.5 we get 100.

Step 2: \(\small 7 \times 12.5 = 87.5\) and \(\small 8 \times 12.5 = 100\)

Step 3: Now, we got \(\small \frac{87.5}{100}\)

Step 4: Reduce the fraction: \(\small \frac{87.5}{100} = 87.5 \%\)

Team Blue: Won 19 out of 20 games played: \(\small \frac{19}{20}\)

Step 1: Multiply both numerator and denominator by 5. Because by multiplying the denominator with 5 we get 100.

Step 2: \(\small 19 \times 5 = 95\) and \(\small 20 \times 5 = 100\)

Step 3: Now, we got \(\small \frac{95}{100}\)

Step 4: Reduce the fraction: \(\small \frac{95}{100} = 95 \%\)

Team Red has \(\small 87.5 \% \) of winning rate, while the team Blue has \(\small 95 \%\) winning rate. The answer is team Blue has higher percentage of wins with \(\small 95 \%\)<


Practise This Question

Find the prime factorization of 17.