# Types of Fractions

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**Types of fractions**:

1) Proper fractions

2) Improper fractions

3) Mixed fractions

4) Equivalent fractions

**: A fraction in which the numerator is less than the denominator.**

__Proper fractions__**Example**:

1) 2/7

Here, the numerator is 2 and denominator 7.

Numerator (2) < Denominator (7)

So, its a proper fraction.

2) 5/8 ( 5 < 8)

So, its a proper fraction.

3) 12/17

(12 < 17)

So, its a proper fraction.

**: A fraction in which the numerator is greater than denominator.**

__Improper fractions__**Example**:

1) 7/2

Here the numerator is greater than denominator.

( 7 > 2)

So, its an improper fraction.

2) 8/5

(8 > 5) so its an improper fraction.

**: A combination of a whole number and a proper fraction is called a mixed fraction.**

__Mixed fractions__In other words, we can say that mixed fraction has two parts 1) natural number 2) proper fraction.

1 ⅓ , 2 ⅕ , 5 7/9 etc.

Property 1: A mixed fraction may always be converted in to an improper fraction.

Multiply the natural number by the denominator and add to the numerator. This new numerator over the denominator is the required fraction.

**Example :**4 ⅓ = [( 4 x 3) + 1 ] / 3 = (12 + 1) / 3 = 13/3

**Example :**A fraction like 7/2 can also be expressed as 3 ½ , or 8/5 can be written as 1 3/5.

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**Practice**

**State whether the following fractions are proper or improper.**

1) 18/5

2) 9/2

3) 11/17

4) 13/4

5) 19/23

**Write 4 equivalent fractions of the following**

1) 3/7

2) 5/8

3) 1/10

4) 6/11

5) 8/9

**Fraction**

• Types of Fractions

• Conversion of improper to mixed fraction

• Equivalent Fractions

• Fractions in Simplest form

• Like and Unlike Fractions

• Add fractions

• Subtraction of fractions

• Multiplying Fractions

• Types of Fractions

• Conversion of improper to mixed fraction

• Equivalent Fractions

• Fractions in Simplest form

• Like and Unlike Fractions

• Add fractions

• Subtraction of fractions

• Multiplying Fractions

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