Which of the following fractions is the largest?
Correct answer: A. 7/8
- A. 7/8
- B. 13/16
- C. 31/40
- D. 63/80
Explanation
Convert the fractions to a common denominator of 80: 7/8 = 70/80, 13/16 = 65/80, 31/40 = 62/80, and 63/80 remains 63/80. The greatest numerator is 70, so 7/8 is largest. The likely mistake is choosing 63/80 because it has the largest denominator or appears closest to 1 without comparing equivalent values.
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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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