Find the prime factorization of the denominator of rational number 6.12bar in the simplest form
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Let the value of x = 6.12 bar
x = 6.121212121212…
Multiply 100 on both side
100 x = 612.12121212121…..
100x = 606 + 6.12121212…
100x = 606 + x
100x – x = 606
99x = 606
X = 606/99 = 203/33
The rational number = 101 * 2 / 3 * 11
The denominator is 3 * 11 = 33
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