Question

What is 7 divided by 2?

Answer 1

`3.5`

Explanation:

`7/2 = 3.5`

Answer 2

`3 1/2`

Explanation:

Investigating the number of 2's that can be fitted into 7

Consider `2+2+2+2= 8` this is too big so too many 2's
Consider `2+2+2=6` this will fit into 7 but the remainder is 7-6=1
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now lets start again but in a different way.

Split 7 up into `6+1`

So `7-:2` is the same as `color(white)(...)(6+1)-:2`

which is the same as: `color(white)(...)6-:2" " +" "1-:2`

which is the same as `color(white)(...)6/2" "+" "1/2`

which is the same as `color(white)(...)3+1/2 -> 3 1/2`