Result
0.1(6)
=
1
6
0.1(6)
=
15
90
15/90
→ simplify ÷15
1
6
Step 1: Interpret the repeating part and express 0.1(6) as a fraction 15/90.
Step 2: Divide numerator and denominator by 15: 15/90 → 1/6.
Property: Repeating decimals occur when the simplest denominator has prime factors other than 2 and 5.
FAQ
- Why can 0.1(6) be converted to a fraction?
- Decimals can be expressed as fractions by using place value and simplifying.
- 0.1(6) terminating or repeating?
- It is repeating.
- Can it be simplified further?
- 1/6 is simplest.
Related Conversions
Extended Reading: What 0.1(6) Means in Real Life
Percentage & Ratio: 0.1(6) can be interpreted as a repeating proportion in practical scenarios like discounts and rates.
Statistics: A proportion of 0.1(6) often represents a 10% probability — for example, a 10% significance level (p-value) in experiments or surveys.
Finance: Rates expressed with 0.1(6) (e.g., 10%) appear in returns and fees.