How do you simplify #2/(3/11)#?

Question

10124 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-30T10:41:40

#22/3 = 7 1/3#

In order to know how to calculate this, first decide what it means...

This is another way of writing #2 div 3/11#

We could also write #2/1 div 3/11# to have both as fractions.

Dividing by a fraction is the same as "X by the reciprocal"

#2/1 xx11/3 = 22/3" "larr# multiply straight across.

But compare the two ways of writing this:

#(2/1)/(3/11) = (2xx11)/(1xx3)" "larr# can you see a short cut?

#(color(red)(2)/color(blue)1)/(color(blue)3/color(red)(11)) = color(red)((2xx11))/color(blue)((1xx3)) = 22/3#

As a general rule note that: #(a/b)/(c/d) = (axxd)/(bxxc)#