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