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18 April, 07:39

Evaluate (-2 4/5) - (-1 5/6)

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  1. 18 April, 08:01
    0
    (-29) / 30

    Step-by-step explanation:

    Simplify the following:

    - (2 + 4/5) + (1 + 5/6)

    Put 2 + 4/5 over the common denominator 5. 2 + 4/5 = (5*2) / 5 + 4/5:

    - (5*2) / 5 + 4/5 + 1 + 5/6

    5*2 = 10:

    - (10/5 + 4/5) + 1 + 5/6

    10/5 + 4/5 = (10 + 4) / 5:

    - (10 + 4) / 5 + 1 + 5/6

    10 + 4 = 14:

    -14/5 + 1 + 5/6

    Put (-14) / 5 + 1 + 5/6 over the common denominator 30. (-14) / 5 + 1 + 5/6 = (6 (-14)) / 30 + 30/30 + (5*5) / 30:

    (6 (-14)) / 30 + 30/30 + (5*5) / 30

    6 (-14) = - 84:

    (-84) / 30 + 30/30 + (5*5) / 30

    5*5 = 25:

    (-84) / 30 + 30/30 + 25/30

    -84/30 + 30/30 + 25/30 = (-84 + 30 + 25) / 30:

    (-84 + 30 + 25) / 30

    | 3 | 0

    + | 2 | 5

    | 5 | 5:

    (55 - 84) / 30

    55 - 84 = - (84 - 55):

    ( - (84 - 55)) / 30

    | 7 | 14

    | 8 | 4

    - | 5 | 5

    | 2 | 9:

    Answer: (-29) / 30
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