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?

Respuesta :

Answer:

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