Check sibling questions

We have to convert decimals into p/q


We know that there are three types of decimal expansions

  1. Terminating
  2. Non-Terminating Repeating
  3. Non-Terminating Non-Repeating


For Terminating numbers,

Eg: 0.125

We just remove the decimal point, and divide by as many 0 as the number of digits after decimal

Since, 0.125 has 3 digits after decimal point, we remove the decimal point and divide by 1000

So, 0.125 = 125/1000


For Non-Terminating Repeating numbers

If we are given an expansion like


How do we express it in p/q?

Let us look at an example


For Non-Terminating Non Repeating numbers

We know that Non-terminating, non-repeating numbers are irrational numbers.

And they cannot be expressed as p/q

641 students have Teachoo Black. What are you waiting for?

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.