How much would you have if three-quarters is divided by #12#?

1 Answer
Feb 16, 2017

Answer:

#1/16#

Explanation:

You are being asked what you would have if you divided the fraction #3/4# by 12. Imagine if #3/4# of a cake was to be shared by 12 people?
Every one would get a really small piece.

The maths is done like this.

#3/4 div 12/1#

#3/4 xx 1/12" "larr#multiply by the reciprocal

#cancel3^1/4 xx 1/cancel12^4" "larr# cancel to simplify

#=1/16#

In practical terms, to refer to the cake again, it means that each quarter would need to be shared by 4 people.

There are three-quarters (#3/4#) of the cake: #1/4 +1/4+1/4#

and 3 groups of 4 people: # 4+4+4#

SO each person would get #1/4 of 1/4# which gives #1/16#