Find the prime factorization of the denominator of the rational number

1.	Find the prime factorization of the denominator of the rational number expressed as 6.12CBSE 2015, 16]in simplest form543n atnte whether the number has
Answer» 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

Find the prime factorization of the denominator of the rational number expressed as 6.12CBSE 2015, 16]in simplest form543n atnte whether the number has

Answer»

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