2/3 of all your books are fiction 1/6 of those are historical fiction What fraction of all your books are historical fiction?

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Answer 1 · 2016-11-14T18:46:52

#1/9# are historical fiction.

We need to find out what fraction one sixth of two-thirds is.

#1/6 xx 2/3#

#1/cancel6^3 xx cancel2/3#

#=1/9#

Another way to show this would be work in eighteenths.

Total number of books #18/18#

Fiction = #12/18" and non-fiction"= 6/18#

Historical fiction:

#= 12/18 div 6/1 = 2/18 = 1/9#