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29 August, 21:16

2/15 + 1/3 and 6/7 - 1/3

A B

which of the two sums is closer to 1/2?

you must show your working and state clearly weather the answer is 'A' OR 'B'

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Answers (1)
  1. 29 August, 22:30
    0
    6/7 - 1/3 is closer

    Step-by-step explanation:

    2/15 + 1/3

    get a common denominator 15

    2/15 + 1/3 * 5/5 = 2/15 + 5/15 = 7/15

    6/7 - 1/3

    get a common denominator 21

    6/7 * 3/3 - 1/3 * 7/7 = 18/21 - 7/21 = 11/21

    now subtract 1/2 from each

    7/15 - 1/2

    14/30 - 15/30 = - 1/30

    11/21 - 1/2

    22/42 - 21/42 = 1/42

    since we are trying to find which is closer we only care about the absolute value of the number (not whether it is positive or negative)

    1/30 > 1/42
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