SOLUTION: what is average of 1/2, 2/5, 3/4, 4/5?

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Question 615393: what is average of 1/2, 2/5, 3/4, 4/5?
Found 2 solutions by nerdybill, jsmallt9:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
find total:
1/2 + 2/5 + 3/4 + 4/5
10/20 + 8/20 + 15/20 + 16/20
(10 + 8 + 15 + 16)/20
49/20
.
average:
(49/20)/4
49/80 (fractional answer)
or
0.6125 (decimal answer)

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
You find averages by adding the numbers together and then dividing by how many numbers there are.

These numbers are fractions so it will be a bit of a pain because adding them requires the effort of finding the common denominator and then changing the denominators to the common one. And then we'd have to divide a fraction!?

We can make the problem easier if we realize that all of the fractions, in decimal form, are terminating (i.e. non-repeating) decimals:
1/2 = 0.5
2/5 = 0.4
3/4 = 0.75
4/5 = 0.8
Adding and dividing decimals is must easier. So this is how we will proceed. Adding we get:
2.45
dividing by 4 we get:
0.6125
This is the average.

If you feel that the4 answer should be in fraction form, then we can convert this decimal back to a fraction:
0.6125+=+6125%2F10000+=+245%2F400+=+49%2F80

P.S. The answer works out the same if you do all the work in fraction form.