Question

Express 0.123 (bar on 3) in p/q form

Please give the answer step by step.

Answer 1

Step-by-step explanation:

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Answer 2

Let it be equal to x.

==> x = 0.1233333... (1)

Multiply (1) by 1000

==> 1000x = 123.3333... (2)

Also,

Multiply (1) by 100

==> 100x = 12.3333... (3)

Subtract (3) from (2)

==> 1000x - 100x = 123 - 12

==> 900x = 111

==> x = 111/900

Hence, required number is 111/900