What is the reciprocal of #2##2/3#?

1 Answer
reudhreghs
Apr 8, 2016

#3/8#

Explanation:

First rearrange the fraction into a top-heavy fraction to make it easier to solve,

#2 2/3 = (2*3 + 2)/3 = 8/3#.

Now turn it upside down,

#8/3 -> 3/8#

and you have your reciprocal.

The reciprocal of a fraction is literally just the fraction turned on its head, so the denominator becomes the numerator and vice versa.

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