Question

How to convert a recurring rational number in form of p/q?

Answer 1

Method to convert a recurring rational number in the form of p/q.

1) First of all, observe the place of repetition of the number and then shift the decimal just before the repeating number.

2) Examine the number carefully and note the digits of the number which are repeating and then multiply 10ⁿ where n is the repeating digit.

3) Now subtract the original number from the obtained number and then we get the p/q form of the decimal number.