__CHAPTER 7__

__FRACTIONS__

Fraction means a part of something. For e.g. 7/15 means 7 parts out of 15 equal parts. Here, 7 is the numerator and 15 is the denominator.

**PROPER FRACTION**

When the numerator is less than the denominator, the fraction is called a proper fraction. E.g. 1/3, 9/12.

**IMPROPER FRACTION**

When the numerator is less than the denominator, the fraction is called improper fraction. E.g. 7/4, 12/9

**MIXED FRACTION**

A combination of a whole and a part is called mixed fraction. E.g. 3½

Converting mixed fraction to improper fractions: 3½ = ((3×2) +1)/2= 7/2

**EQUIVALENT FRACTION**

If the fractions, when simplified, represent same number of parts of the whole, the fractions are called equivalent fractions.

E.g. 1/2, 3/6, 4/8

**SIMPLEST FORM OF A FRACTION**

If the numerator and denominator have no common factor except 1, the fraction is said to be in its simplest form.

**LIKE FRACTIONS**

When two fractions have the same denominator, they are called like fractions. For e.g. 7/8, 6/8

**UNLIKE FRACTIONS**

When two fractions have different denominators, they are called unlike fractions. For e.g. 7/9, 8/10

**COMPARING LIKE FRACTIONS**

The fraction with greater numerator is the greater fraction.

**COMPARING UNLIKE FACTIONS**

- Same numerators: The fraction with a smaller denominator is the greater fraction.
- Different numerators: First, we have to convert the unlike fractions to like fractions.

**ADDITION AND SUBTRACTION OF FRACTIONS**

- For like fractions: The fractions are simply added and subtracted. E.g. 2/3 + 5/3= 7/3
- For unlike fractions: First we have to convert them into like fractions and then addition and subtraction can be done.