In this post we will learn method to convert percent to fraction.

Before getting into the method understand what percent number means.

Percent basically tells you the unit value out of the number 100.

Thus 4% means there are 4 unit present per 100 value.

so 4% can be expressed as \frac{4}{100}

**Converting Percent to fraction**

**Suppose you have to convert 4.5% into fraction**

For conversion do the following steps:

(01) Remove % sign from the number and insert 100 in the denominator

Now the percentage is expressed in fraction form

(02) If number is simple whole number, move to step 03

If number is decimal, convert it into whole number by:

⟹ First removing the decimal point

⟹ Insert zero (as much as decimal place value) in the denominator

(03) Simplify the fraction as much as possible

Hence 9/200 is the required fraction

These are the exact steps for percentage to fraction conversion.

Let us see some examples for conceptual understanding.

**Example 01**

Convert 25% into fraction

**Solution**

(a) Remove % sign and insert 100 in denominator

25\%\Longrightarrow \frac{25}{100}

(b) Number is whole number, so move to step 03

(c) Reduce fraction to its lowest terms

Divide numerator and denominator by 25

\frac{25\ \div \ 25}{100\ \div \ 25} \ =\frac{1}{4}

Hence \frac{1}{4} is the solution.

You can see that we have converted 25% into fraction \frac{1}{4}

**Example 02**

Convert 42% into fraction

**Solution**

Do the following steps:

(a) Remove % sign and insert 100 in denominator

42\%\Longrightarrow \frac{42}{100}

(b) The number is whole number, so skip to next step

(c) Reduce fraction to its lowest terms

Divide numerator and denominator by 2

\frac{42\ \div \ 2}{100\ \div \ 2} \ =\frac{21}{50}

Hence \frac{21}{50} is the solution

**Example 03**

Convert 55.5%

**Solution**

Do the following steps:

(a) Remove % sign and insert 100 as denominator

55.5\%\Longrightarrow \frac{55.5}{100}

(b) Convert the numerator, from decimal to whole number

Remove the decimal point and multiply 10 in denominator (as 55.5 contain one decimal place)

(c) Reduce the fraction to its lowest terms

Divide numerator and denominator by 5

Hence, \frac{111}{200} is the required fraction

**Example 04**

Convert 103% into fraction

**Solution**

Do the following steps:

(a) Remove % symbol and insert 100 in denominator

103\%\Longrightarrow \frac{103}{100}

(b) The number is whole number so skip to next step

(c) Reduce fraction to lowest terms

Further simplification is not possible.

hence \frac{103}{100} is the required answer

**Example 05**

Convert 12.25% into fraction

**Solution**

Follow the below steps

(a) Remove % symbol and insert 100 in denominator

12.25\%\Longrightarrow \frac{12.25}{100}

(b) Convert the decimal into whole number

Remove the decimal point and multiply 100 in denominator (since 12.25 contain two decimal places)

(c) Reduce the fraction to its lowest terms

Divide numerator and denominator by 25

\frac{1225\ \div \ 25}{10000\ \div \ 25} \ =\frac{49}{400}

Hence \frac{49}{400} is the solution

**Example 06**

Find fraction for 215%

**Solution**

Follow the below steps

(a) Remove % symbol and insert 100 in denominator

215\%\Longrightarrow \frac{215}{100}

(b) The number is already whole number so skip to next step

(c) Reduce the fraction to its lowest term

Divide numerator and denominator by 5

\frac{215\ \div \ 5}{100\ \div \ 5} \ =\frac{43}{20}

Hence, \frac{43}{20} is the solution

I hope the steps are clear to you.

Let us solve some practice questions on this topic.

**Important Percentage to Fraction Values**

Given below are table of values which i think you should remember for higher classes.

These numbers will help you solve problems faster

Try to remember the values such as:

⟹ 50% is 1/2

⟹ 75% is 3/4

so that you can find answer quickly without any calculation.

This memorization will give you edge in math competition exams.

**Percentage into Fractions Problems**

Given below are set of Percentage into Fraction Problems.

All the questions are to the standard of Grade 5 Math

(01) **Convert 40% into fraction**

(a) 1/5

(b) 2/5

(c) 3/5

(d) 2/7

Hence, \frac{2}{5} is the solution

**Option (b) is the right answer**

(02) **Represent 160% in fraction**

(a) 6/5

(b) 13/5

(c) 11/5

(d) 8/5

Hence, \frac{8}{5} is the solution

**Option (d) is the right answer**

(03) **Represent 65% in fraction**

(a) 13/20

(b) 13/10

(c) 17/20

(d) 17/10

Hence, \frac{13}{20} is the solution

**Option (a) is the right answer**

(04) **Represent 1000% in fraction**

(a) 100

(b) 1

(c) 10

(d) 50

Hence, 10 is the solution**Option (c) is the right answer**

(05) **Convert 250% to fraction**

(a) 20/3

(b) 10/3

(c) 5/2

(d) 5/3

Hence, 5/2 is the solution**Option (c) is the right answer**

(06) **Convert 83% into fraction**

(a) 83/100

(b) 83/50

(c) 45/50

(d) 89/100

The number is not divisible further.

Hence 83/100 is the solution**option (a) is the right answer**

(07) **Convert 16.5% into fraction**

(a) 21/200

(b) 19/200

(c) 15/200

(d) 33/200

**Option (d) is the right answer**

(08)** Convert 10.25% into fraction**

(a) 41/200

(b) 41/400

(c) 21/200

(d) 21/400

**Option (b) is the right answer**

(09) **Convert 113% into fraction**

(a) 113/1000

(b) 109/100

(c) 113/100

(d) 113/10

The number is not divisible further.

Hence 113/100 is the solution**option (c) is the right answer**

(10) **Convert 1.33% into fraction**

(a) 133/1000

(b) 133/10000

(c) 133/10

(d) 133/1

The fraction is not further divisible.

Hence 133/10000 is the solution

**Option (b) is correct**