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Warm-Up Exam 3 #11 Give two reasons why Vance’s reasoning is wrong Hint: Compare to a landmark and use equivalent fractions.
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Student Errors 7/8 + 3/32 + 1/16 is less than 1 because 7/8 is almost 1, and 1/16 is about 0, and 3/32 is about 0, so almost 1 + 0 + 0 is less than 1.
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Student Errors 8 3/4 2 7/8 Find a common denominator: 8 6/8 2 7/8 = 16 42/64 which is simplified to 16 21/32.
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Student Error 4 7/8 ÷ 8 7/8 = (4 ÷ 8) ÷ (7/8 ÷ 7/8) = 1/2 ÷ 1 = 1/2
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Student Error 25 - 1/2 = 25 - 1/2 25 1/2
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Student Error 29 1/7 - 16 4/7 29 1/7 = 28 11/7 - 16 4/7 = 16 4/7 12 7/7 = 13.
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