Question

What is 0.4 divided by 0.008?

Answer 1

`0.4-:0.008= 50`

Explanation:

Given:`" "0.4-:0.008`

Write as `" "color(blue)(0.4/0.008)`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
To get rid of the decimals multiply by 1 but in the form of

`" "1=color(brown)(1000/1000)` giving
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`" "color(blue)((0.4color(brown)(xx1000))/(0.008color(brown)(xx1000)))color(green)( = 400/8)`

Lets split (partition) the number to make it easier to work out in our heads

400 can be slit (partitioned) into `10xx40`

So we can rewrite `color(green)(400/8)` as

`" "color(green)( 10 xx 40/8)`

But `5xx8 =40" that is: "40-:8=5` so we end up with

`" " color(blue)(color(green)(10 xx5) = 50)`