Converting Improper Fractions into Mixed Fractions.

Converting Improper Fractions into Mixed Fraction:

An Improper fraction can be converted into a mixed fraction by using the below steps:

a. Divide the numerator(dividend)  with the denominator(divisor).

b. Write the quotient as the whole number part of the mixed fraction.

c. Write the remainder as the numerator of the proper fraction and the number of parts of the whole (divisor) as the denominator.

 

Convert the Improper fractions into Mixed fractions:

1)  39/8

Solution:

a. Divide: numerator: N = 39 and denominator: D = 8.

dividend = 39 ; divisor = 8;

After dividing : Quotient Q = 4 ; Remainder R = 7.

b. The whole number part of the mixed fraction is: Q = 4.

c. The proper fraction part of the mixed fraction is :

 Remainder / divisor = 7/8.

Thus, the required Mixed fraction = Q  R / divisor = 4  7/8 .

 

2) 73/4

Solution:

a. Divide the numerator( dividend): N = 73 ; denominator(divisor): D = 4.

After dividing: Quotient: Q = 18 ;  Remainder R = 1.

b. The whole number part of the mixed fraction is: Q = 18.

c. The proper fraction part of the mixed fraction is :

Remainder / divisor = 1/4.

Thus, the required Mixed fraction = Q  R / divisor = 18  1/4.

 

3) 23/5

Solution:

a. Divide : dividend: 23 with divisor: 5.   

We get Quotient ( whole part) Q = 4 ;

Remainder ( Numerator of proper fraction) R = 3.

The required Mixed fraction is = Q  R / divisor =  4  3/5.

 

4) 82/9

Solution:

Divide: numerator(dividend) = 82 with denominator(divisor) = 9.

We get: Quotient Q = 8 : Whole part of the mixed fraction.

Remainder R = 10 : Numerator of the Proper fraction.

Thus, the required Mixed fraction: Q  R/ divisor = 8  10/9.