SOLUTION: what is the average of 1/4 and 1/6?

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Question 533715: what is the average of 1/4 and 1/6?
Found 3 solutions by oberobic, stanbon, lmeeks54:
Answer by oberobic(2304) About Me  (Show Source):
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+%281%2F4%2B1%2F6%29%2F2+=+%283%2F12%2B2%2F12%29%2F2++
+%283%2F12%2B2%2F12%29%2F2+=+%285%2F12%29+%2A+%281%2F2%29+
+%285%2F12%29+%2A+%281%2F2%29+=+5%2F12+%2A+1%2F2+
+5%2F12+%2A+1%2F2+=+5%2F24+
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If you're wondering where the divisor 2 came from, to find the average you total the items and then divide by the number of items. In this case have two items: 1/4 and 1/6. So you add them and divide the sum by 2.
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If you're wondering about where the 1/2 multiplier came from in the second equation, dividing by 2 is the same as multiplying by 1/2.

Answer by stanbon(75887) About Me  (Show Source):
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what is the average of 1/4 and 1/6
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Ave = [(1/4)+(1/6)]/2 = (10/24)/2 = (5/12)/2 = 5/24
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Cheers,
Stan H.
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Answer by lmeeks54(111) About Me  (Show Source):
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You cannot compare or average them until you convert the fractions to the lowest common denominator:
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1/4 = 3/12 = 6/24
1/6 = 2/12 = 4/24
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the average of 6 and 4 is 5. Therefore, the answer is 5/24...
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cheers,
Lee