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23 June, 03:51

Is 12/42=10/35 a true proportion

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Answers (1)
  1. 23 June, 06:56
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    Yes, they both are 2/7

    Proof: Left-hand side

    Simplify the following:

    12/42

    The gcd of 12 and 42 is 6, so 12/42 = (6*2) / (6*7) = 6/6*2/7 = 2/7:

    Answer: 2/7

    Right-hand side:

    Simplify the following:

    10/35

    The gcd of 10 and 35 is 5, so 10/35 = (5*2) / (5*7) = 5/5*2/7 = 2/7:

    Answer: 2/7
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