Proper and Improper Fractions:

There are two kinds of fractions: proper fractions & improper fractions. A value of the numerator & the denominator determines the category of fraction.  If the numerator is less than the denominator, a fraction is less than one; this fraction is known as a proper fraction. If the numerator is equivalent to or greater than the denominator, the fraction is called as an improper fraction.

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.