Question

Write a 123barof form a p/q

Answer 1

Answer:

Let x = 0.12333....----(1)

multiply equation (1) by 100, we get

=> 100x = 12.333....----(2)

multiply equation (2) by 10, we get

=> 1000x = 123.333....----(3)

Now,

Subtract equation (2) from equation (3), we get

=> 900x = 111

Divide each term by 3 , we get

=> 300x = 37

\implies x = \frac{37}{300}⟹x=

300

37

Therefore,

\begin{gathered} x =0.123333...\\= \frac{37}{300}\end{gathered}

x=0.123333...

=

300

37