# How to convert fraction to percent

In this post we will learn methods to convert fraction number into percentage.

We have already learnt that percentage can be converted into fraction by dividing 100.

But for fraction to percent conversion, the process is just opposite, here we have to multiply the number with 100.

## Fraction to Percent calculation

In order to convert fraction to percent you have to do just one thing: Multiplication with 100

Explanation behind 100 multiplication:

To understand this take one fraction for reference.
Let us take fraction \frac{2}{5}

we know that, percentage is unit value per 100.
So we can express percentage as:
\frac{Percentage\ value}{100} \ =\ \frac{2}{3}\\\ \\

Taking 100 to right side;
Percentage\ Value\ =\ \frac{2}{3} \ \times 100 \\ \\

Hence, we multiply fraction with 100 to get Percentage Value.

Let us understand the above process using examples:

Example 01
Convert \frac{2}{5} into percentage

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{2}{5} \ \times 100 \\\ \\ \Longrightarrow \ \frac{200}{5}\\\ \\ \Longrightarrow \ 40\\ \\

Example 02
Convert \frac{3}{20} into percentage

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{3}{20} \ \times 100 \\\ \\ \Longrightarrow \ \frac{300}{20}\\\ \\ \Longrightarrow \ 15\\\ \\

Hence 15% is the solution

Example 03
Convert fraction \frac{5}{8} into percentage

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{5}{8} \ \times 100 \\\ \\ \Longrightarrow \ \frac{500}{8}\\\ \\ \Longrightarrow \ 62.5\\\ \\

Hence 62.5% is the solution

Example 04
Convert \frac{11}{7} into percentage

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{11}{7} \ \times 100 \\\ \\ \Longrightarrow \ \frac{1100}{7}\\\ \\ \Longrightarrow \ 157.14\\\ \\

Hence 157.14% is the solution

Example 05
Convert \frac{4}{25} into percentage

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{4}{25} \ \times 100 \\\ \\ \Longrightarrow \ \frac{400}{25}\\\ \\ \Longrightarrow \ 16\\\ \\

Hence 16% is the solution

### Fraction to Percentage – FAQ

(01) How to convert fraction into percentage

By multiplying fraction with 100

(02) How to know if the number is given in form of Percentage?

The number with % sign shows that it is percentage number

(03) Represent 2/3 as percent

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{2}{3} \ \times 100 \\\ \\ \Longrightarrow \ \frac{200}{3}\\\ \\ \Longrightarrow \ 66.67 \\ \\

(04) Represent 5/9 as a percent

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{2}{3} \ \times 100 \\\ \\ \Longrightarrow \ \frac{200}{3}\\\ \\ \Longrightarrow \ 66.67 \\ \\

## Fraction to Percentage Problems

Below are the questions related to Fraction to Percentage concept.
For the questions, you have to do the calculation and select the right answer.
All questions are to the standard of Grade 5.

(01) Convert \frac{3}{16} into percentage

(a) 18.75 %
(b) 18%
(c) 16.5%
(d) 19.6%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{3}{16} \ \times 100 \\\ \\ \Longrightarrow \ \frac{300}{16}\\\ \\ \Longrightarrow \ 18.75\\ \\

Hence 18.75% is the solution
Option (a) is correct

(02) Convert \frac{5}{4} into percentage

(a) 75 %
(b) 100%
(c) 125%
(d) 175%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{5}{4} \ \times 100 \\\ \\ \Longrightarrow \ \frac{500}{4}\\\ \\ \Longrightarrow \ 125\\ \\

Hence 125% is the solution
Option (c) is correct

(03) Convert \frac{7}{12} into percentage

(a) 75.3 %
(b) 65.5%
(c) 56%
(d) 58.33%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{7}{12} \ \times 100 \\\ \\ \Longrightarrow \ \frac{700}{12}\\\ \\ \Longrightarrow \ 58.33\\ \\

Hence 58.33% is the solution
Option (d) is correct

(04) Convert \frac{23}{50} into percentage

(a) 43 %
(b) 46%
(c) 49%
(d) 51%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{23}{50} \ \times 100 \\\ \\ \Longrightarrow \ \frac{2300}{50}\\\ \\ \Longrightarrow \ 46\\ \\

Hence 46% is the solution
Option (b) is correct

(05) Convert \frac{2}{10} into percentage

(a) 40%
(b) 15%
(c) 10%
(d) 20%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{2}{10} \ \times 100 \\\ \\ \Longrightarrow \ \frac{200}{10}\\\ \\ \Longrightarrow \ 20\\ \\

Hence 20% is the solution
Option (d) is correct

(06) Convert \frac{9}{25} into percentage

(a) 36%
(b) 63%
(c) 42%
(d) 46%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{9}{25} \ \times 100 \\\ \\ \Longrightarrow \ \frac{900}{25}\\\ \\ \Longrightarrow \ 36\\ \\

Hence 36% is the solution
Option (a) is correct

(07) Convert \frac{18}{20} into percentage

(a) 80%
(b) 90%
(c) 70%
(d) 60%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{18}{20} \ \times 100 \\\ \\ \Longrightarrow \ \frac{1800}{20}\\\ \\ \Longrightarrow \ 90\\ \\

Hence 90% is the solution
Option (b) is correct

(08) Convert \frac{4}{1} into percentage

(a) 400%
(b) 40%
(c) 4%
(d) 4000%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{4}{1} \ \times 100 \\\ \\ \Longrightarrow \ \frac{400}{1}\\\ \\ \Longrightarrow \ 400\\ \\

Hence 400% is the solution
Option (a) is correct

(09) Convert \frac{6}{3} into percentage

(a) 300%
(b) 30%
(c) 200%
(d) 20%

Percentage\ Value\\\ \\ \Longrightarrow \ \frac{6}{3} \ \times 100 \\\ \\ \Longrightarrow \ \frac{600}{3}\\\ \\ \Longrightarrow \ 200\\ \\

Hence 200% is the solution
Option (c) is correct

(10) Convert \frac{9}{18} into percentage

(a) 70%
(b) 20%
(c) 30%
(d) 50%