Conversion of Improper Fractions Into Mixed Numbers -
Divide the numerator by the denominator. The quotient gives the whole number part of the mixed number while the remainder gives the numerator part of the fraction and divisor gives the denominator part of the fraction.
Numerator
Mixed number = Whole number ---------------
Denominator
Numerator (a)
Improper Fraction = --------------- (where, Numerator > Denominator)
Denominator (b)
and, where a/b > 1 or a/b = 1
For conversion from Improper fraction to mixed fraction, we need to divide Numerator by Denominator, so -
Denominator ) Numerator ( Quotient
------------
Reminder
where, consider Denominator as a 'Divisor' and Numerator as a 'Dividend'
Reminder
So, the mix fraction = Quotient -------------
Denominator
144
Example.1) Convert ------- into mix fraction
11
144
Ans.) --------
11
11 ) 144 ( 13
11
--------
34
33
-------
1
In above division, divisor = 11, quotient = 13, and reminder = 1
1
So, as per the rules mix fraction would be = 13 ------ (Ans.)
11
215
Example.1) Convert ------- into mix fraction
9
215
Ans.) --------
9
9 ) 215 ( 23
18
--------
35
27
-------
8
In above division, divisor = 9, quotient = 23, and reminder = 8
8
So, as per the rules mix fraction would be = 23 ------ (Ans.)
9