Question

Find the prime factorisation of the denominator of rational number expressed as 6.12 bar in simplest form

please explain why the rational no =101×2

please refer the above pic ​

Answer 1

Answer:

Step-by-step explanation:

The numerator could have been (7 x 29) as 101 x 2 gives 202 and not 203

Answer 2

Answer:

it's prime factorization = 3*11

Step-by-step explanation:

Let x = 6.1212..        ...(i)

Mutiplying the equation(i) by 100.

100x = 612.1212..     ...(ii)

Subtracting eq. (i) from (ii), we obtain,

99x = 606

or, x = 606/99 = 202/33

here, denominator is 33.

so,it's prime factorization = 3*11