Fractions

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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