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OG2016 - fractions

This topic has 1 expert reply and 1 member reply
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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OG2016 - fractions

Post Sun May 01, 2016 9:39 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    1/(1+1/3) - 1/ (1+1/2) =

    A) -1/3
    B) -1/6
    C) -1/12
    D) 1/12
    E) 1/3

    OA: D

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    Post Sun May 01, 2016 9:45 am
    boomgoesthegmat wrote:
    1/(1+1/3) - 1/ (1+1/2) =

    A) -1/3
    B) -1/6
    C) -1/12
    D) 1/12
    E) 1/3
    USEFUL/IMPORTANT rule: 1/(a/b) = b/a
    So, 1/(3/2) = 2/3
    And 1/(5/6) = 6/5
    etc...

    Now onto the question....
    1/(1 + 1/3) - 1/ (1+1/2) = 1/(4/3) - 1/ (3/2)
    = 3/4 - 2/3
    = 9/12 - 8/12
    = 1/12
    = D

    Cheers,
    Brent

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    OptimusPrep Master | Next Rank: 500 Posts
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    Post Mon May 02, 2016 7:28 pm
    boomgoesthegmat wrote:
    1/(1+1/3) - 1/ (1+1/2) =

    A) -1/3
    B) -1/6
    C) -1/12
    D) 1/12
    E) 1/3

    OA: D
    Such questions might look intimidating at first, but if we solve one fraction at a time, we can easily solve them

    1/(1+1/3) - 1/ (1+1/2) = 1/(4/3) - 1/(3/2) = 3/4 - 2/3 = (9-8)/12 = 1/12

    Correct option: D

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