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16 January, 11:31

In order to expand its runways, an airport bought five tracts of land: 62 5/6 acres, 14 4/5 acres, 33 2/3 acres, 49 7/15 acres, 10 3/5 acres. How many acres did the airport purchase?

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  1. 16 January, 11:55
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    The answer to your question is The airport bought 164.7 acres

    Step-by-step explanation:

    Data

    62 5/6

    14 4/5

    33 2/3

    49 7/15

    10 3/5

    Process

    1. - Convert mixed fractions to improper fractions

    62 5/6 = (372 + 5) / 6 = 377/6

    14 4/5 = (70 + 4) / 5 = 74/5

    33 2/3 = (99 + 2) / 3 = 101/3

    49 7/15 = (735 + 7) / 15 = 742/15

    10 3/5 = (50 + 3) / 5 = 53/5

    2. - Look for the Least Common Factor

    6 5 3 15 5 2

    3 5 3 15 5 3

    1 5 1 5 5 5 least common factor = 2 x 3 x 5 = 30

    1 1 1 1 1

    3. - Add the fractions

    337/6 + 74/5 + 101/3 + 742/15 + 53/5 = (1685 + 444 + 1010 + 1484 + 318) / 30

    = 4941/30

    4. - Divide 4941 by 30

    4941/30 = 164.7 acres
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