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

Answer 1

Hazel Anglin

#1/9# are historical fiction.

We must ascertain the value of the fraction one sixth of two thirds.

#1/6 xx 2/3#

#1/cancel6^3 xx cancel2/3#

#=1/9#

Working in eighteenths would be another way to illustrate this.

Total number of books #18/18#

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

Fiction with historical details:

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

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Answer 2

Eli Assouline

( \frac{1}{4} ) of all books are historical fiction.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.