Improper Fractions and Mixed Numbers


Improper Fractions and Mixed Numbers

An improper fraction can be written as a mixed number. The diagram below shows that a mixed number and an improper fraction can both represent the same amount.

To change an improper fraction to a mixed number, divide the numerator by the denominator. The fraction bar stands for "divided by", then  means "nine divided by four", then

9 4 = 2 with 1 as a remnant.

The 2 is the number of wholes and 1 is the number of fourths, so 9/4 is equal to 2 1/4.

To write a mixed number as an improper fraction, just multiply and add. Lets take 2 1/4: first multiply the denominator(4) of the fraction part by the whole-number part(2).

2 4 = 8

then add the numerator part of the fraction(1) to this amount

8 + 1 = 9

this becomes the new numerator of the improper fraction. The denominator remains the same, so

2 1/4

Try it yourself


Complete each table.
1.
Division
 Improper Fraction
 Mixed Number
16 3
 16/3
2.
Division
 Improper Fraction
 Mixed Number
19 2
9 1/2
3.
Division
 Improper Fraction
 Mixed Number

11/9

4. 

Division
 Improper Fraction
 Mixed Number

28/7

5.

Division
 Improper Fraction
 Mixed Number


4 4/5

Answers

1.

Division
 Improper Fraction
 Mixed Number


5 1/3
2.
Division
 Improper Fraction
 Mixed Number

19/2

3.

Division
 Improper Fraction
 Mixed Number
11 9
1 2/9

4. 

Division
 Improper Fraction
 Mixed Number
28 7
4

5.

Division
 Improper Fraction
 Mixed Number
24 5
 24/5