SOLUTION: Find ten rational numbers between 1/2 and 2/3

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Question 979309: Find ten rational numbers between 1/2 and 2/3
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Find ten rational numbers between 1/2 and 2/3.
Get a large common denominator, say, 120

1%2F2%22%22=%22%2260%2F120
2%2F3%22%22=%22%2280%2F120

Pick 10 different numerators between 60 and 80 to put over 120:

61%2F120,62%2F120,63%2F120,64%2F120,65%2F120,66%2F120,67%2F120,68%2F120,69%2F120,70%2F120

Reduce the ones that can be:

61%2F120,31%2F60,21%2F400,8%2F15,13%2F24,11%2F20,67%2F120,17%2F30,23%2F40,7%2F12

Edwin