Basic Fractions

A fraction is a measure of sharing .

 

Example

What fraction of these counters is yellow ?

1

1

   one eighth or one in eight of these counters is yellow

 

Common fractions are written in the form 2

3

   

The top number (numerator)  is divided (÷) by               
The bottom number ( denominator)

 

 A proper fraction has a smaller numerator
 than denominator. 2

Examples

3       32     
4       37

 

An improper fraction has a larger numerator, the top is larger than the bottom.
3These are often called top heavy fractions.

 

 

Examples

13          39     
4           37

wholes, halves, thirds fifths

Simplifying fractions

4

 

5

Examples

6

8

           

 

What if you don’t know your tables ?
Try dividing top and bottom by 2, 3, 5, or 10

9

10

                       

Alternatively

(This method uses prime factors )

Example

simplify  12

 

4

12

 

Converting improper  fractions to mixed numbers

Divide the numerator (top) by  the denominator (bottom)
Write the quotient, then put  the remainder over the denominator.
Simplify  if possible.

Example

13

More examples

14 15 16

Converting mixed numbers to improper fractions

Times the whole number by the denominator (bottom),
Add the numerator (top).
Write this answer on top of the denominator.

Examples

   17 18

 

Calculating fractions of amounts

 

20

Examples

   

21

22 23

22 25

 

Learn

11

adding/subtracting fractions
multiplying fractions
dividing fractions

Algebraic fractions

 

 

© Alexander Forrest