Reason Abstractly

Question

Can any fraction be written as a mixed number? Explain giving examples to ilustrate you answer.

Answer 1

Only Improper fraction can be written as mixed number.

 

Improper fraction :The numerator is greater than (or equal to) the denominator. Examples: 4/3, 11/4, 7/7. 

 

improper fraction         mixed number

         

 

                     4/3 = 1 1/4

 

                     11/4 = 2 3/4

 

                      7/7 =1

Answer 2

Yes.

 

A proper fraction (numerator is less than denominator) has a whole number part of zero, with a fraction.  Another way to put it is that a mixed number is a number less than 1 or greater than 1.

 

2/5 is the mixed number   0 2/5.   Zero is the whole number.  This number is less than 1.

 

5/2 is the mixed number   2 1/2.  2 is the whole number.  This number is greater than 1.