Rounding Calculator: Round Decimals, Fractions & Whole Numbers
Rounding & Fraction Calculator
Enter a number, choose a precision or a fraction denominator (e.g., 32), pick a rounding mode, and click Round. Final results (fractions) are rendered using MathML for stacked fractions.
History & Options
Saved calculations are stored locally (strings only). MathML renders stacked fractions for best visual results.
• Fraction mode multiplies the decimal part by the chosen denominator and rounds that numerator. • Final fractions are simplified. • MathML is used to present stacked fractions (works in modern browsers).
The free Rounding Calculator helps you quickly round any number to the nearest whole number, tenth, hundredth, thousandth, or even convert the result into a clean fraction.
Just enter your number, choose Precision, and switch between Decimal, Whole Number, or Fraction mode. Perfect for students, teachers, accountants, and anyone needing accurate rounding.
How to Use the Rounding Calculator
Using the tool is simple.
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Enter the number you want to round.
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Select the Precision (tenth, hundredth, thousandth, etc.).
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Choose the Mode:
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Decimal Mode for decimal places
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Whole Number Mode to round to the nearest 1, 10, 100
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Fraction Mode for simplified fractions or mixed numbers
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Click Calculate to instantly see your rounded value.
The tool automatically explains the rounding rule used and shows a clean result that’s easy to understand and copy.
Decimal Mode — Round to Tenths, Hundredths, or Thousandths
Choose Decimal Mode when you want to round decimals.
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1 decimal place = nearest tenth
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2 decimal places = nearest hundredth
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3 decimal places = nearest thousandth
Example:
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5.678 → rounded to the nearest hundredth → 5.68
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12.3456 → rounded to thousandth → 12.346
This mode is ideal for math homework, scientific measurements, or financial rounding rules.
Whole Number Mode — Round to the Nearest Whole, 10, 100 or 1000
Use this mode to round without decimals.
Examples:
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7.4 → 7 (nearest whole number)
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7.5 → 8
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152 → 200 (nearest hundred)
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2,499 → 2,500 (nearest hundred)
This mode is commonly used in estimating, budgeting, and simplifying large values.
Fraction Mode — Turn Decimals into Clean Fractions
Fraction Mode converts your rounded result into a proper fraction or mixed number, automatically simplified.
Examples:
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12.5625 → 12 9/16
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0.75 → 3/4
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1.125 → 1 1/8
This mode is perfect for recipes, construction measurements, and educational use where fractional precision matters.
🧮 Need to convert 0.08 to a fraction or 3/7 to a decimal? Read our step-by-step guide on fraction and decimal conversion with free calculator tools.
Why Rounding Matters
Rounding helps simplify numbers without losing important accuracy. It’s used in:
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money calculations (rounding to the nearest cent)
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measurement tools
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school math
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scientific data
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engineering and construction
Using a clear round calculator helps you avoid mistakes and understand the logic behind every rounding step.
Real Examples
| Original Number | Precision | Result |
|---|---|---|
| 5.437 | Nearest tenth | 5.4 |
| 12.987 | Nearest hundredth | 12.99 |
| 187 | Nearest ten | 190 |
| 0.625 | Fraction | 5/8 |
Frequently Asked Questions (FAQ)
What does the rounding calculator do?
The rounding calculator lets you round numbers, decimals, and fractions to any place value, including whole numbers, tenths, hundredths, thousandths, and custom precision.
How does the rounding mode (Decimal, Whole Number, Fraction) work?
You can choose how the result is displayed:
- Decimal mode: rounded decimal output
- Whole number mode: integer result
- Fraction mode: exact simplified fraction (e.g., 12 9/16)
What is the easiest way to round decimals?
Check the digit one place to the right of the location you’re rounding to.
If it’s 5 or more, round up.
If it’s 4 or less, round down.
How do I round to the nearest whole number?
Look at the tenths digit:
- 0–4 → round down
- 5–9 → round up
Example: 19.6 → 20
How do you round to the nearest tenth?
Check the hundredths place.
Example: 5.46 → 5.5
How do you round to the nearest hundredth?
Check the thousandths place.
Example: 3.257 → 3.26
How can I round a fraction?
The calculator converts the fraction to a decimal, performs rounding, and then returns a perfect simplified fraction.
What is the greatest integer function?
It returns the largest whole number less than or equal to a given value.
Example: ⌊6.9⌋ = 6
Can the tool round negative numbers?
Yes, negative numbers follow the same rules.
Example: −4.27 → −4.3
How do I round to the nearest cent?
Round to two decimal places.
Example: 14.786 → 14.79
What is the difference between rounding and truncating?
- Rounding looks at the next digit to decide up/down
- Truncating simply cuts off digits without rounding
Why does rounding sometimes give unexpected results?
Some calculators use floating-point arithmetic.
Your calculator avoids this issue and rounds accurately.
How do I round a repeating decimal?
Choose a precision and apply rounding.
Example: 0.333… → 0.33 (hundredths)
What’s the difference between tenths, hundredths, and thousandths?
They represent the first three decimal positions:
- Tenths = 0.1
- Hundredths = 0.01
- Thousandths = 0.001
What does rounding “up” mean?
Increasing the rounding digit by 1 because the next digit is ≥ 5.
What does rounding “down” mean?
Leaving the rounding digit as it is because the next digit is ≤ 4.
Can rounding change a final answer in math or finance?
Yes, rounding too early can affect accuracy.
It’s best to round at the end unless instructed otherwise.
How do I round to the nearest thousand?
Use the hundreds place to decide rounding.
Example: 4,480 → 4,000
4,510 → 5,000
How does rounding help in real life?
People round numbers to:
• estimate totals
• simplify measurements
• calculate prices
• work with easier values
Why does your tool show mixed fractions like 12 9/16?
It provides clearer, more readable results than improper fractions.
How accurate is the rounding calculator?
It uses high-precision math, ensuring correct rounding even for tricky numbers like 1.005 → 1.01.
Can I round extremely long decimals?
Yes, the tool supports long decimal inputs and custom precision settings.
What is decimal place value and why is it important?
Place value tells you which digit you are rounding and which digit controls the rounding decision.
How do I know which rounding method my teacher wants?
Most schools use standard half-up rounding, which the tool follows by default.
Is 0 an integer and a whole number?
Yes—0 is both a whole number and an integer in mathematics.
Can I use this rounding calculator for homework or exams?
Yes! It’s designed for students and teachers who need accurate rounding for classwork, decimals, and fractions.
📘 Need help converting fractions or decimals before checking sig figs? Read our Complete Guide on Converting Fractions and Decimals for clear examples and free tools.
✨ Want to learn the full rules behind significant figures? See our detailed guide: How to Calculate Significant Figures: Rules and Examples.
🎓 Want to master sig fig rules? Read our Step-by-Step Tutorial on Using a Significant Figures Calculator to understand how each digit counts and why!
✨ Confused by decimal places? Here’s the simplest way to understand tenths, hundredths, and thousandths.