Question 3

If N = 0.369369369369… and M = 0.531531531531…, then what is the value of $$(\frac{1}{N}) + (\frac{1}{M})$$?

Solution

N = 0.369369369369… 
1000N=369.369....
999N=369
N=369/999
M = 0.531531531531…
1000M=531.531...
999M=531
M=531/999
 $$(\frac{1}{N}) + (\frac{1}{M})$$= $$(\frac{999}{369}) + (\frac{999}{531})$$
=$$\frac{11100}{2419}$$


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