# CLASS-5CONVERSION OF IMPROPER FRACTION TO MIX FRACTION

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