Result
0.(6)
=
2
3
0.(6)
=
6
9
6/9
→ simplify ÷3
2
3
Step 1: Interpret the repeating part and express 0.(6) as a fraction 6/9.
Step 2: Divide numerator and denominator by 3: 6/9 → 2/3.
Property: Repeating decimals occur when the simplest denominator has prime factors other than 2 and 5.
FAQ
- Why can 0.(6) be converted to a fraction?
- Decimals can be expressed as fractions by using place value and simplifying.
- 0.(6) terminating or repeating?
- It is repeating.
- Can it be simplified further?
- 2/3 is simplest.
Related Conversions
Extended Reading: What 0.(6) Means in Real Life
Percentage & Ratio: 0.(6) can be interpreted as a repeating proportion in practical scenarios like discounts and rates.
Statistics: A proportion of 0.(6) often represents a 0% probability — for example, a 0% significance level (p-value) in experiments or surveys.
Finance: Rates expressed with 0.(6) (e.g., 0%) appear in returns and fees.