SOLUTION: Determine number of times one m/th, one n/th, and one r/th it takes to make a whole one. Thanks.

Question 1054803: Determine number of times one m/th, one n/th, and one r/th it takes to make a whole one. Thanks.
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Determine number of times
one m/th
1 m/th = 1/m
--> m
----
one n/th
n
----
one r/th
r
---
it takes to make a whole one
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We have 1/m, 1/n, 1/r
:
we know m*n*r is a common denominator for these fractions
:
we want the numerator to be m*n*r also so that the fraction is a whole
:
1/m = i/mnr, 1/n = j/mnr, 1/r = k/mnr
:
i = nr, j = mr, k = mn, therefore
:
nr + mr + mn = mnr
:
***********************************
(nr/mnr) + (mr/mnr) + (mn/mnr) = 1
***********************************
:

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