# Improper Fractions To Mixed Numbers

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Improper fraction: - A fraction, whose numerator is greater than or equal to its denominator, is called an improper fraction.

Example: -i) 7 / 5, 25 / 12, 181 / 62 etc.  (Since the numerator is greater than the denominator)

ii) 3 / 3, 4 / 4, 5 / 5, etc.    (Since the numerator is equal to the denominator)

Note: - If in a fraction, its numerator and its denominator are equal to each other, the value of the fraction is equal to unity (i.e. 1).

Mixed fraction: - A mixed fraction consists of two parts:

i)   Integer
ii)  A proper fraction.

e.g. 4   2 / 3 is a mixed fraction, consisting of an integer (4) and a proper fraction (2 / 3).

Converting improper fraction into mixed fraction: -Divide the numerator by the denominator. The quotient of this division is the integral part and the remainder obtained is the numerator of the required mixed fraction.

Example 1: - 23 / 4 = Quotient  Remainder/ denominator = 5  3 / 4
Note: - on dividing 23 by 4, quotient = 5 and remainder = 3.
Similarly 37 / 8 = = Quotient  Remainder / denominator= 4  5 / 8 and so on.

Example 2: - Change the following improper fractions to mixed fractions:
i)  100 / 7
ii) 81 / 11
Solution: -i) 100 / 7 = Quotient  Remainder/ denominator = 14  2 / 7
ii) 81 / 11 = Quotient  Remainder/ denominator = 7    4 / 11.