Write a fraction with numerator 15 and denominator 99 for 0.151515. There are two digits in the recurring pattern, that is 15. There are two digits between the decimal point and the recurring digits, that is 00.Ġ.00151515. Write a fraction with numerator 6 and denominator 9 for 0.6666. There is only one digit in the recurring pattern, that is 6. There is one digit between the decimal point and the recurring digits, that is 0.Ġ.06666. Write a fraction with numerator 507 and denominator 999. There are three digits in the recurring pattern, that is 507. Write a fraction with numerator 36 and denominator 99. There are two digits in the recurring pattern, that is 36. Write a fraction with numerator 7 and denominator 9. There is only one digit in the recurring pattern, that is 7. Write a fraction with numerator 3 and denominator 9. There is only one digit in the recurring pattern, that is 3. There are only recurring digits after the decimal point in In the following examples, convert the non terminating, recurring decimals to fractions : Continue the rest of the process as explained above. If there are two digits in the recurring pattern, subtract 1 from 100, for three digits, subtract 1 from 1000 and so on. Take the recurring digit in the numerator and 9 in the denominator. If there is only one digit in the recurring pattern, subtract 1 from 10, the result is 9.ģ. Make sure that there are only recurring digits after the decimal point.Ģ. How to convert non terminating, recurring decimals to fractions ?ġ. When we are trying to find square of a number which is not a perfect square, we get this kind non terminating, non recurring decimals.Ī non terminating decimal can be converted to a fraction, only if it has repeated pattern. How do we have this kind of non recurring decimals in Math ? All the above decimal numbers are irrational and they can not be converted to fractions.
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