**Converting Fraction into Percentage :**

In this section, we will learn, how to convert a fraction into percentage.

The process of conversion to percentage from a proper fraction and an improper fraction is same.

There two types of processes in converting a fraction into percentage.

**Type 1 : **

Denominator can be convertible to 100 using multiplication.

**Type 2 : **

Denominator can not be convertible to 100 using multiplication

If denominator of the proper fraction is convertible to 100 using multiplication, we can convert the given proper fraction to percent as explained in the example given below.

If denominator of the improper fraction is convertible to 100 using multiplication, we can convert the given improper fraction to percent as explained in the example given below.

If denominator of the proper fraction is not convertible to 100 using multiplication, we have to convert the given proper fraction into decimal. Then we have to convert decimal into percent as explained in the example given below.

If denominator of the proper fraction is not convertible to 100 using multiplication, we have to convert the given proper fraction into decimal. Then we have to convert decimal into percent as explained in the example given below.

**Problem 1 :**

Covert the fraction into percentage.

3 / 4

**Solution : **

To convert any fraction into percentage, we have to make the denominator as 100 using multiplication.

In the fraction 3/4, the denominator is 4 which is convertible to 100 using multiplication by 4.

3 / 4 = (3 ⋅ 25) / (4 ⋅ 25)

3 / 4 = 75 / 100

3 / 4 = 75%

So, 3/4 is equal to 75%.

**Problem 2 :**

Convert the given fraction into percentage.

10 / 3

**Solution :**

In the fraction 10/3, the denominator is 3 which can not be converted into 100 or 1000 or 10000 using multiplication.

So the given fraction can be converted into decimal using long division.

Then, we have

10 / 3 ≈ 3.3333 (approximately)

Multiply 3.3333 by 100 to convert it into percent.

3.3333 ⋅ 100% ≈ 333.33%

So, 10/3 is equal to about 333.33%.

**Problem 3 :**

Covert the fraction into percentage.

5 / 8

**Solution : **

To convert any fraction into percentage, we have to make the denominator as 100 using multiplication.

In the fraction 5/8, the denominator is 8 which which can not be converted into 100 using multiplication.

But 8 can be converted into 1000 using multiplication of 125.

Then, we have

5 / 8 = (5 ⋅ 125) / (8 ⋅ 125)

5 / 8 = 625 / 1000

5 / 8 = 0.625

Multiply 0.625 by 100 to convert it into percent.

0.625 ⋅ 100% = 62.5%

So, 5/8 is equal to 62.5%.

**Problem 4 :**

Covert the fraction into percentage.

3 1/8

**Solution : **

To convert the given mixed number into percentage, first convert the given mixed number into improper fraction.

3 1/8 = 25 / 8

To convert any fraction into percentage, we have to make the denominator as 100 using multiplication.

In the fraction 25/8, the denominator is 8 which which can not be converted into 100 using multiplication.

But 8 can be converted into 1000 using multiplication of 125.

Then, we have

25 / 8 = (25 ⋅ 125) / (8 ⋅ 125)

25 / 8 = 3125 / 1000

25 / 8 = 3.125

Multiply 3.125 by 100 to convert it into percent.

3.125 ⋅ 100% = 312.5%

So, 25/8 is equal to 312.5%.

After having gone through the stuff given above, we hope that the students would have understood, how to convert a fraction into percentage.

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