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Review: Suggestive Fraction
Explanation
In this question, the given expression looks like about 2,
but the answer choices are all about 2, so we're not going to be able to
estimate the correct answer. We can try to break up the numbers into logically
distinct pieces. Each of them is 1 plus or minus a small number, so we can
break them apart in that fashion:
Something is going on between the numerator and the
denominator of the fraction. Is the top the square of the bottom? No, but it is
a difference of squares, since it's of the form 
,
and hence it can be factored as 
:
The 
in numerator and denominator cancel:
The correct answer is (C).
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