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16 Sep 2014, 01:21
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Which of the following fractions is the largest?
A. \(\frac{11}{27}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{3}\)
D. \(\frac{25}{81}\)
E. \(\frac{3}{20}\)
A. \(\frac{11}{27}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{3}\)
D. \(\frac{25}{81}\)
E. \(\frac{3}{20}\)
16 Sep 2014, 01:21
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Official Solution:
Which of the following fractions is the largest?
A. \(\frac{11}{27}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{3}\)
D. \(\frac{25}{81}\)
E. \(\frac{3}{20}\)
Clearly, \(\frac{3}{20}\) is the smallest fraction. Therefore, we should focus on comparing the other four. Using a common denominator of 81 for these fractions, we have:
A. \(\frac{11}{27}= \frac{33}{81}\)
B. \(\frac{4}{9}= \frac{36}{81}\)
C. \(\frac{1}{3}= \frac{27}{81}\)
D. \(\frac{25}{81}= \frac{25}{81}\)
From the above, it's evident that option B represents the largest fraction.
Answer: B
Which of the following fractions is the largest?
A. \(\frac{11}{27}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{3}\)
D. \(\frac{25}{81}\)
E. \(\frac{3}{20}\)
Clearly, \(\frac{3}{20}\) is the smallest fraction. Therefore, we should focus on comparing the other four. Using a common denominator of 81 for these fractions, we have:
A. \(\frac{11}{27}= \frac{33}{81}\)
B. \(\frac{4}{9}= \frac{36}{81}\)
C. \(\frac{1}{3}= \frac{27}{81}\)
D. \(\frac{25}{81}= \frac{25}{81}\)
From the above, it's evident that option B represents the largest fraction.
Answer: B
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03 May 2018, 07:36
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+1 for option B. Convert fractions to common denominator and compare. 4/9 has the highest value ! Hence option B
