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  • GMAT

    GMAT
    which of the following fractions has a decimal equivalent that is a terminating decimal?
    a.10/189 b.15/196 c.16/225 d.25/144 e.39/128
    時間來不及的!
    數(shù)學(xué)人氣:375 ℃時間:2020-02-05 16:12:34
    優(yōu)質(zhì)解答
    Notice:
    1/2 = 0.5 (good)
    1/3 = 0.3333.(bad)
    1/4 = 0.25 (good)
    1/5 = 0.2 (good)
    1/6 = 0.16666...(bad)
    1/7 = 0.142857142857...(bad)
    1/8 = 0.125 (good)
    1/9 = 0.11111...(bad)
    1/10 = 0.1 (good)
    1/11 = 0.0909...(bad)
    etc.
    189 --> 1 + 8 + 9 = 18 (multiple of 3)
    196 --> 2 x 2 x 7 x 7 (multiple of 7)
    225 --> 2 + 2 + 5 = 9 (multiple of 3)
    144 --> 1 + 1 + 4 = 6 (multiple of 3)
    128 --> 2 x 2 x 2 x 2 x 2 x 2 x 2
    128 has only factors of 2 (or 5).
    Answer:
    E.39/128
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