Question

the p/q form of 3.0232323
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Answer 1

Answer:

3.0232323

= 30232323 by 10000000

Answer 2

Answer:

The answer is 2993/990

Step-by-step explanation:

To convert 3.0232323...... in p/q form

Step 1 = Let x = 3.023232323..........    

As we know that 0 is not repeating and only 23 is repeating so by multiplying x by 10(10x) we will make the number 30.232323........

10x = 30.23232323.......     (1)

Step 2 = As we know that there was 3 decimal places after the point in the number 3.023 bar [on 23]

So will now multiply x by 1000(3 decimal places[so 1000])

That is 1000x = 1000 X x

                       = 1000 X 3.0232323.......

                        = 3023.23232323........        (2)

Step 3 = Now we will subtract (1) from (2) to get 3.023232323......... in p/q form

That is

(2) - (1) = 1000x - 10x

Now we will equate 1000x - 10x with their derivatives

That is,

1000x - 10x = 3023.23232323.........[1000x] - 30.23232323........[10x]

990x = 2993

x = 2993/990(by following the linear equation rules)

p = 2993(numerator)

q = 990(denominator)

3.0232323........... = x = 2993/990(p/q form)

3.