A fraction terminates in decimal form only when its reduced denominator contains no prime factors other than 2 and 5.
Terminating Decimals Calculator
Form
Results
Non-repeating part
0
Periodic part:
0
Result of the division
0
Table of Contents
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What is Terminating Decimals?
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How to Use This Calculator
- Enter or select Numerator, Denominator.
- Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
- Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used
Reduced denominator = 2ᵃ × 5ᵇ
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Variables Explained
| Input | What it means |
|---|---|
| Numerator | The top part of the fraction, representing the number of equal shares. |
| Denominator | The bottom part of the fraction, representing how many equal shares make a whole; it cannot be zero. |
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Worked Example
3/40 terminates as 0.075; 1/6 repeats because 6 contains a factor of 3.
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Why Use This Calculator?
Decide whether a fraction can be written exactly with finitely many decimal places.
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Common Mistakes
- Reduce first: a factor that cancels from the denominator does not cause repetition.
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Frequently Asked Questions
Should I round numbers before calculating?
Keep the original input precision through the calculation and round the final answer to the precision you need. Rounding an intermediate result can change later steps.
Why can a manual calculation differ slightly?
Check the operation, units, signs and rounding first. Equivalent fractions or expressions can look different while representing the same value.
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Sources & References
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