Question

What is 12 divided by 0.15?

Answer 1

`12` divided by `0.15` is `color(green)(80)`

Explanation:

`12/0.15`
`color(white)("XXX")=1200/15`

`color(white)("XXX")=400/5`

`color(white)("XXX")=80`

Answer 2

It is 80.

Explanation:

You can simply solve this using a calculator, but we are on Socratic, so we have to do something more fun!

The only good idea I had is to write `0.15` as `15/100`.
Then you are asking how to do

`12/(15/100)=(12*100)/15`.

Now we can simplify the common factors writing `12=3*2*2`, `100=2*2*5*5` and `15=3*5`.

`(12*100)/15=(3*2*2*2*2*5*5)/(3*5)=2*2*2*2*5`

and, because I am very lazy, I know only how to do multiplications for 2 and for 10, so I write it as

`2*2*2*10=8*10=80`.