Which of the following fractions is closest to \(\dfrac12?\)
A) \(\dfrac47\)
B) \(\dfrac59\)
C) \(\dfrac6{11}\)
D) \(\dfrac7{13}\)
E) \(\dfrac9{16}\)
Answer: D
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Which of the following fractions is closest to \(\dfrac12?\)
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Solution:
Had the five choices been 3.5/7, 4.5/9, 5.5/11, 6.5/13, and 8/16, each of them would equal 1/2. Even though they are not, we can still find the difference between each of them and 1/2. The differences are 0.5/7 = 1/14, 0.5/9 = 1/18, 0.5/11 = 1/22, 0.5/13 = 1/26 and 1/16, respectively. Since 1/26 is the smallest difference, we see that 7/13 is closest to 1/2.
Answer: D
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