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.
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.