Question

Express 2.1 13bar in p/q form

Answer 1

Answer:

Express 2.1 13bar in p/q form......

Answer 2

Answer:

Given :

2.113131313.....

Let x = 2.1131313..... (i)

Multiply both sides by 10,

10x = 21.131313 ...... (ii)

Repeat until u get Same repeating digit s after Decimals...

100x = 211.31313......

1000x = 2113.131313..... (iii)

Subtract (ii) from (iii), we get ....

\begin{gathered}1000x \: = \: 2113.1313..... \\ \: \: \: \: \: 10x \: = \: \: \: \: \: 21.1313.... \\ ..................................... \\ \: \: \: 990x \: = \: \: \: 2092\end{gathered}

1000x=2113.1313.....

10x=21.1313....

.....................................

990x=2092

x = 2092/990

x = 1046/495