What is 60 divided by 15%?

1 Answer
Nov 14, 2016

Answer:

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#

....................................................................................................................
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#
....................................................................................................................

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#