Comparison of fractions is not an easy task, especially when the two fractions have different denominators.

For example; if you are asked which of the fractions and is greater than the other. i.e. we want to compare, whether is greater than or less than .

Since, denominators of and are different.

To compare these fraction, first we make their denominators same

Now, we have two fraction as , with same denominator.

Since numerator of is greater than numerator of .

is greater than

But comparison becomes easier if common denominator is 100.

**The fraction with denominator 100, is called a percentage**, denoted by a% or a/100. The sign % is called percent.

For example = 3%, = 5%

**The term percent is a short form of the Latin word “Per Centum” that means “Out of Hundred”**.

**Example:** In a paper of math, out of total marks 50, Waqas got 35 marks, Usman got 43 marks and Shakeel got marks 32.

Waqas got 35 out of 50 marks

i.e.

Usman got 43 out of 50

i.e.

Shakeel got 32 out of 50

i.e.

**Example:**

15% = (replace % by 1/100)

**Example:**

48% =

**Example:**

**Example:**

Express in decimal

(1)

(2)

(3)

__Changing a Fraction into Percentage__**:**

We can change a fraction into percentage by multiplying the fraction by 100% and simplify it, if possible.

__Examples__**:**

Express as percentages