Proper and Improper Fractions:

Example:

3/8 proper fraction

8/3 improper fraction

3/3 improper fraction

Here an improper fraction expressed as the sum of an integer and a proper fraction is called as a mixed number.

For write an improper fraction as a mixed number, divide the numerator through the denominator, acquiring an integer part (quotient) plus a fractional part whose numerator is the remainder of the division.

Example:

22/9 = 2 +4/9 =2(4/9)

Here, 9 can be divided within 22 two times, with   4/9 left over or remaining.

Therefore, the improper fraction   22/9 is equivalent to the mixed number 2 (4/9).

Every number may be expressed as a fraction or sum of fractions.  A whole number is a fraction whose denominator is 1. Any fraction along with the same numerator and denominator is equal to one.

Examples:

5= 5/1, 10/1 = 10, 1 = 16/16, 5/5 = 1