If N = 0.369369369369… and M = 0.531531531531…, then what is the value of (1/N) + (1/M)?
11100/2419
Convert recurring decimals to fractions:
\[N=\frac{369}{999}=\frac{41}{111},\quad M=\frac{531}{999}=\frac{59}{111}\]
Therefore \(\frac{1}{N}=\frac{111}{41}\) and \(\frac{1}{M}=\frac{111}{59}\).
\[\frac{1}{N}+\frac{1}{M}=\frac{111\times 59+111\times 41}{41\times 59}=\frac{111\times 100}{2419}=\frac{11100}{2419}\]
Similar Questions
What is the value of \(\frac{{5.6 \times 0.36 + 0.42 \times 3.2}}{{0.8 \times 2.1}}?\)
The value of \(\frac{48.3\times[(4.95)^2+4.95\times13.25]}{[(12.55)^2-(5.65)^2]\times19.8} \) is:
If A = 0.abcabc _____, then by what number A should be multiplied so as to get an integeral value?
The value of \(11.\overline{4}\) + \(22.5\overline{67}\) – \(33.5\overline{9}\) is:
What is the value of x, if \(5\left( {1 - \frac{x}{5}} \right) - (5 - x) - \frac{1}{{200}}{\rm{of (20 - x) = 0}}{\rm{.08}}\) ?
The value of \(0.5\bar 6 - 0.7\overline {23} + 0.3\bar 9 \times 0.\bar 7\) is:
If \({\rm{A}} = {\rm{}}\frac{{0.216{\rm{\;}} + {\rm{\;}}0.008}}{{0.36{\rm{\;}} + {\rm{\;}}0.04{\rm{\;}} - {\rm{\;}}0.12}}\) and \({\rm{B}} = {\rm{}}\frac{{0.729{\rm{\;}} - {\rm{\;}}0.027}}{{0.81{\rm{\;}} + {\rm{\;}}0.09{\rm{\;}} + {\rm{\;}}0.27}}\) , then what is the value of (A 2+ B 2) 2?
If A = 0.142857142857 _____ and B = 0.16666 _____, then what is the value of (A + B)/AB?
Find the value of (1.6) 3 - (0.9) 3 - (0.7) 3.
Find the value of the following expression:
\(\frac{(7.03)^{3}-0.027}{(7.03)^{2}+2.109+(0.3)^{2}}\)
Important Questions from Decimals
What is the result when 0.129129129… is converted to a fraction?
Which of the following statement(s) is/are correct?
I. (3/11) > 0.3
II. (7/8) > 0.86
The value of \(1.\overline{3}+0.\overline{69}-0.5\overline{23}\) is equal to:
The value of \(0.\bar 4 + 0.5 \bar 9 - 0.4 \overline{23}\) is equal to:
Find the sum of \(\frac{0.01}{0.1}+\frac{0.1}{0.01}\)
