Question

What is 60 divided by 15%?

Answer 1

400

Explanation:

The % in 15% is a unit of measurement and is worth `1/100`

So another way of writing 15% is `15/100`

What is 60 divided by 15% `-> 60 -:15% -> 60 -:15/100`

Using the shortcut method, turn `15/100` upside down and multiply.

`60-:15/100" " =" " 60xx100/15" "=" "60/15xx100`

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I can move the 15 to be 'under' the 60 from under the 100 for the same reason that `2xx4" is the same as "4xx2`
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But 5 will divide exactly into both 15 and 60 so we have:

`60/5xx100" "=" "(60-:5)/(15-:5)xx100`

`=12/3xx100" "` but 3 will divide exactly into both 3 and 12

`=(12-:3)/(3-:3)xx100`

`=4/1xx100 = 400`