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?

Question

Mathematics

Joseph Bender

23 July, 10:49

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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Answers (1)

Know the Answer?

Cynthia · Answer 1

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