what is a common denominator for 12,6,3,4/9

Question

To find what to times by big one

Answer 1

Hi...

                   12=2x2x3     =2^2x3

 

                      6 =  2x3    

 

                     3= 3x1

 

                     4/9=  2/3 x 2/3

 

              =2^2x3^2=36  or 2x2x3x3=36=LCD

 

 

                  

Answer 2

Hi Alexis, 

Step One: Understand fundamental definitions:

For a given fraction, the numerator is the top number and the "bottom" number is the denominator. For 4/9 the numerator is 4 while the denominator is 9.

The lowest common denominator is the lowest (least) denominator that our numbers have in common.

Step Two: Reason

Since 12, 6, and 3 all have a denominator of 1 yet 4/9 has a denominator of 9 the lowest common denominator is 9.

Step Three: Check our reasoning

We can multiply both the numerator and denominator to achieve all numbers with a common denominator of 9:

12/1 becomes 108/9

6/1 becomes 54/9

3/1 becomes 27/9

4/9 remains 4/9

∴The lowest common denominator is 9

Best, 

Star