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%.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

**v4formath@gmail.com**

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**