Solve Q3. Proper explanation and complete steps
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Question
Express as a fraction in the simplest form.
Solution
Let, 0.253253253... = x in its p/q form
Multiplying 1000 on both sides, we get
⇒ 1000x = 253.253253.....
(here we multiplied with 1000 because repetition was of three digits)
Now, subtract x from 1000x
⇒ 1000x - x =
⇒ 999x = 253
⇒ x = 253/999
Now, we can not simplify it further, hence the simplest form of fraction of would be 253/999.
charmender217:
thnxx
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