SOLUTION: Find the number that is 3/4 of the way from 3/5 to 2 2/3

Question 32034: Find the number that is 3/4 of the way from 3/5 to 2 2/3
Found 2 solutions by Fermat, mbarugel:
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!
I don't see what this has to do with complex numbers, but ...
3/5 is 9/15
2 2/3 is 8/3 which is 40/15
The difference between 9/15 and 40/15 is 31/15
3/4 of that difference is (3/4)*(31/15) = 31/20
31/20 more than 3/5 is 12/20 + 31/20 = 43/20
Ans: 43/20
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Answer by mbarugel(146) (Show Source): You can put this solution on YOUR website!
Hello!
First of all, we must find how "long" is the way from 3/5 to 2 2/3. In order to do this, we subtract the former from the latter (notice that 2 2/3 is the same as 8/3):

So, 3/4 of this difference is:

Therefore, the number that is 3/4 of the wat from 3/5 to 8/3 must be:

I hope this helps!
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