**History:**

It was the Hindus of 200-1200 AD who began to use fractions. But they didn’t use the bar that separates the numerator from the denominator.

The Arabs added the bar to the Hindu system.

**Equivalent fractions:**

*photo: mathgoodies.com*

The shaded part is the same in the above picture. This means 1/2, 2/4, 3/6 and 4/8 are equivalent fractions.

1/2 = 2/4 = 3/6 = 4/8

Equivalent fractions can be found either by multiplying or dividing the numerator and the denominator by the same number.

**Simplifying Fractions:**

We get the simplest form of a fraction by dividing both the numerator and the denominator by the highest common factor(HCF).

**Proper and Improper Fractions:**

In a Proper fraction, the numerator is less than the denominator.

Example: 27/99

In an Improper fraction, the numerator is greater than the denominator.

Example: 99/27

**Mixed Fraction:**

A Mixed fraction has a whole number followed by a fraction.

Example: 33 27/99

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