Home > Algebra > Addition of Rational Numbers

How do you add repeating decimals?

Answer 1

The simplest and fastest method is to convert them to fractions using this method, then add the fractions.

The fraction has at the numerator the difference between all the number without the dot and that part of the number that is not repeating without the dot, and at the denominator a number whose digits are a number of #9# for how many digit are repeating, and a number of #0# for how much digits are between the dot and the repeating digits.

Perhaps it would be better to look at some examples:

E.G.: #12.3bar45=(12345-123)/990=...#

#0.2bar56=(256-2)/990=...#

#0.bar3=(3-0)/9#

#12.15bar6=(12156-1215)/900=...#.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Isaiah Anthony

Convert the repeating decimal to a fraction and then add as fractions.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.