Answer:
D. 5/6
Explanation:
The given fractions have decimal values of ...
2/3 ≈ 0.67
6/7 ≈ 0.86
The answer choices are approximately 0.60, 0.50, 0.43, and 0.83.
The last choice (5/6) is between 2/3 and 6/7.
Using a common denominator of 42, these three fractions are ...
2/3 = 28/42
5/6 = 35/42
6/7 = 36/42
The fraction 5/6 lies between 2/3 and 6/7.
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It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. There are some patterns involved that make it easier.