Fraction Calculator
Add, subtract, multiply, divide, simplify, and convert fractions or mixed numbers. See exact answers, decimals, percentages, and clear steps.
Add, subtract, multiply, divide, simplify, and convert fractions.
Fraction entries
Fraction result
- Convert the entries to improper fractions: 2/3 and 3/4.
- Use the least common denominator 12: 8/12 + 9/12.
- Add the numerators to get 17/12.
- 17/12 is already in lowest terms.
Simplify and convert one fraction
Mixed: 2/3
Decimal: 0.67
Percentage: 66.67%
GCF: 6
Relative fraction values
The bars compare absolute magnitudes; signed values remain in the labels and table.
| Value | Fraction | Decimal magnitude |
|---|---|---|
| First | 2/3 | 0.67 |
| Second | 3/4 | 0.75 |
| Result | 17/12 | 1.42 |
The exact reduced fraction is authoritative. Decimal and percentage displays may be rounded for repeating values.
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What does the Fraction Calculator calculate?
The Fraction Calculator converts the values you enter into a structured estimate using the formulas and assumptions documented on this page. Use the result to compare scenarios, review the calculation details, and identify sensitive inputs. Check the guide and formula sections before using the estimate for an important decision.
Fraction Calculator With Steps
Use this calculator to add, subtract, multiply, or divide fractions and mixed numbers. It keeps the answer exact, reduces it to lowest terms, and also shows the equivalent mixed number, decimal, and percentage.
It is useful for homework checks, recipe scaling, measurements, and any problem where a rounded decimal would hide the exact value.
How to Read the Results
For “How to Read the Results,” the Fraction Calculator organizes the relevant inputs, applies the documented method, and shows a result that can be compared across scenarios. The points below identify the specific considerations and assumptions users should review before relying on the estimate.
- Reduced fraction: the exact answer in lowest terms.
- Mixed number: the exact answer split into a whole number and proper fraction.
- Decimal and percentage: convenient display forms rounded to two decimal places when necessary.
- LCD and GCF: the common denominator and reduction factor used in the calculation.
How the Fraction Calculation Works
Addition and subtraction create equivalent fractions with a common denominator. Multiplication combines numerators and denominators directly. Division multiplies by the reciprocal of the second fraction. The final numerator and denominator are divided by their greatest common factor. Review the Fraction Calculator assumptions before relying on this result for decisions.
For a complete walkthrough, see the fraction calculator guide and fraction formulas.
Frequently Asked Questions
How do I add fractions with different denominators?
Find the least common denominator, rewrite both fractions as equivalent fractions with that denominator, add the numerators, and reduce the result. For a useful Fraction Calculator result, use realistic inputs, compare relevant scenarios, and review the stated assumptions before making a decision.
How do I divide fractions?
Keep the first fraction, multiply by the reciprocal of the second fraction, then reduce. The second fraction cannot equal zero. For a useful Fraction Calculator result, use realistic inputs, compare relevant scenarios, and review the stated assumptions before making a decision.
What is a mixed number?
A mixed number combines a whole number and a proper fraction, such as 2 1/3. It can be converted to an improper fraction before arithmetic. Use realistic inputs and review the Fraction Calculator assumptions before relying on this result for decisions.
What does simplest form mean?
A fraction is in simplest form when its numerator and denominator have no common factor greater than 1. For a useful Fraction Calculator result, enter realistic values, compare relevant scenarios, check the calculation details, and review the definitions, assumptions, and limitations before using the estimate for an important decision.
Can this calculator handle negative fractions?
Yes. Put a negative sign on the numerator for a fraction, or on the whole-number part for a mixed number. For a useful Fraction Calculator result, use realistic inputs, compare relevant scenarios, and review the stated assumptions before making a decision.