Question

express 0.23(bar) in form of p by q​

Answer 1

Answer:

$\sf\frac{23}{99}$

Step-by-step explanation:

It's given that there is a bar on 23, so it's obvious that 23 will repeat infinite times.

So,

the first equation is: x = 0.2323..

Now, Multiplying eq- I to 10:

we got-

10x = 2.323

Now, we can easily observe that EQ-II and EQ-IV are like decimals.

subtracting EQ-i from EQ-iii.

100x-x = 23.2323.. - 0.2323..

[ 2323. cancelled out.]

99x = 23

x = 23/99

verification:

23/99 = 0.2323

You can check in calculator.

Answer 2

Please refer the attachment for the answer.

Thanks