Question

Find the prime factorisation of the denominator of rational number expressed as 6.\bar { 12 } in simplest form. (2014)​

Answer 1

Answer:

Suppose that the value of x=

6.12

ˉ

now, x=6.12121212−−−−

multiplay 100 on both side

then,

100x=6.121212−−−−−

100x=606+6.121212−−−−−

100x=606+x

100x−x=606

99x=606

x=

99

606

x=

33

203

then, the deniminoter is 33

Hence, this is the answer

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