Result
0.83(3)
=
5
6
0.83(3)
=
750
900
750/900
→ simplify ÷150
5
6
Step 1: Interpret the repeating part and express 0.83(3) as a fraction 750/900.
Step 2: Divide numerator and denominator by 150: 750/900 → 5/6.
Property: Repeating decimals occur when the simplest denominator has prime factors other than 2 and 5.
FAQ
- Why can 0.83(3) be converted to a fraction?
- Decimals can be expressed as fractions by using place value and simplifying.
- 0.83(3) terminating or repeating?
- It is repeating.
- Can it be simplified further?
- 5/6 is simplest.
Related Conversions
Extended Reading: What 0.83(3) Means in Real Life
Percentage & Ratio: 0.83(3) can be interpreted as a repeating proportion in practical scenarios like discounts and rates.
Statistics: A proportion of 0.83(3) often represents a 83% probability — for example, a 83% significance level (p-value) in experiments or surveys.
Finance: Rates expressed with 0.83(3) (e.g., 83%) appear in returns and fees.