**Converting Percent into Fraction : **

In this section, we are going to learn, how to convert percentages into fractions.

The process of converting percentage into fraction has been clearly explained in the picture given below.

**Step 1 :**

Write the given percentage as fraction by taking 100 as denominator.

**Step 2 :**

If it is needed, the fraction can be simplified further. That's it.

In the process of converting percentage into fraction, we may have the following situations.

**% (<100) ----> Proper fraction**

**% (>100) ----> Improper fraction / Mixed number**

**% (multiple of 100) ----> Integer**

**Example 1 : **

Convert the percentage given below into a proper fraction

24%

**Solution :**

24% = 24/100 = 6/25

Hence the proper fraction equal to the given percentage is6/25.

**Example ****2 :**

Convert the percentage given below into a proper fraction

2.4%

**Solution :**

2.4% = 2.4/100 = 24/1000 = 3/125

Hence the proper fraction equal to the given percentage is 3/125.

**Example 3 :**

Convert the percentage given below into a proper fraction

0.55%

**Solution :**

0.55% = 0.55/100 = 55/10000 = 11/2000

Hence the proper fraction equal to the given percentage is 11/2000.

**Example 4 :**

Convert the percentage given below into a proper fraction

0.25%

**Solution :**

0.25% = 0.25/100 = 25/10000

Hence the proper fraction equal to the given percentage is 1/400.

**Example 5 : **

Convert the percentage given below into an improper fraction

75%

**Solution :**

75% = 75/100 = 3/4

Hence the proper fraction equal to the given percentage is 3/4.

**Example 6 :**

Convert the percentage given below into a mixed fraction

150%

**Solution :**

150% = 150/100 = 3/2 = 1½

Hence the mixed number equal to the given percentage is 1½.

**Example 7 :**

Convert the percentage given below into a proper fraction

24.25%

**Solution :**

24.25% = 24.25/100 = 2425/1000 = 97/400

Hence the proper fraction equal to the given percentage is 97/400.

**Example 8 :**

Convert the percentage given below into an integer

200%

**Solution :**

200% = 200/100 = 2

Hence the integer equal to the given percentage is 2.

**Example 9 :**

Convert the percentage given below into a mixed fraction

250%

**Solution :**

250% = 250/100 = 5/2 = 2½

Hence the mixed number equal to the given percentage is 2½.

**Example 10 :**

Convert the percentage given below into a mixed fraction

125%

**Solution :**

125% = 125/100 = 5/4 = 1¼

Hence the mixed number equal to the given percentage is 1¼.

After having gone through the stuff and examples, we hope that the students would have understood "How to convert percentage into fraction".

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