explain how you would predict whether 2/9 or 3/9 is closer to 0.25?

First let's find the least common multiple, which is 36.

 

So, to make 1/4 turn into 9/36, you multiply by 9,

 

To get 2/9 and 3/9 to equal something /36, you multiply by 4.

 

So, now you have 8/36 and 12/36.

 

Which one is closer to 9/36?

 

8/36 is. Therefore, 2/9 is closer to 1/4 than 3/9.

0.25=25/100=1/4

 

2/9, 3/9, 1/4

 

(2x4)/(9x4), (3x4)/(9x4), (1x9)/(4x9)

 

8/36, 12/36, 9/36

 

 

8/36____9/36_______________12/36

         1/36                    3/36