"Converting percent into fraction" is sometimes a difficult job for some students who study math in primary level.

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 fraction**

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

To have better understanding on "Converting percent into fraction"

**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 is **6/25**

**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

**125%**

**Solution : **

125% = 125/100 = 5/4

Hence the improper fraction equal to the given percentage is **5/4**

**Example 6 :**

Convert the percentage given below into a mixed fraction

**150%**

**Solution : **

150% = 150/100 = 3/2 = 1 1/2

Hence the mixed fraction equal to the given percentage is **1 1/2**

**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 = 2 1/2

Hence the mixed fraction equal to the given percentage is2 1/2

**Example 10 :**

Convert the percentage given below into a mixed fraction

**125%**

**Solution : **

125% = 125/100 = 5/4 = 1 1/4

Hence the mixed fraction equal to the given percentage is **5 1/4**

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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