Add Fractions
1/2 + 1/4 = 3/4
Convert fractions to a common denominator, add the numerators and simplify.
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Free Online Fraction Calculator
Fraction Calculator with Step-by-Step Results
Add, subtract, multiply and divide fractions instantly. Get simplified answers, mixed numbers, decimal values and clear calculation steps.
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Simplified answers
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Mixed numbers
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Decimal results
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Step-by-step working
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Free Tool
Fraction Calculator
Enter two fractions and choose an operation
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Browser-Based Calculation
Fraction calculations are performed directly in your browser. No sign-up is required.
Quick Examples
Common Fraction Calculations
See how addition, subtraction, multiplication and division work with fractions.
Subtract Fractions
3/4 − 1/2 = 1/4
Use a common denominator, subtract the numerators and reduce the answer.
Multiply Fractions
2/3 × 3/4 = 1/2
Multiply the numerators and denominators, then simplify the result.
Divide Fractions
1/2 ÷ 3/4 = 2/3
Multiply the first fraction by the reciprocal of the second fraction.
Quick Reference
Fraction Calculation Formulas
Adding Fractions
a/b + c/d = (ad + bc) / bd
For unlike denominators, create equivalent fractions with a common denominator before adding.
Subtracting Fractions
a/b − c/d = (ad − bc) / bd
Use a common denominator and subtract the equivalent numerators.
Multiplying Fractions
a/b × c/d = ac / bd
Multiply numerator by numerator and denominator by denominator.
Dividing Fractions
a/b ÷ c/d = ad / bc
Multiply the first fraction by the reciprocal of the second fraction.
Fraction Guide
Free Online Fraction Calculator
A fraction calculator helps you perform arithmetic operations with fractions quickly and accurately. Enter the numerator and denominator of two fractions, choose addition, subtraction, multiplication or division, and the calculator will return a simplified result.
This tool also displays the answer as a mixed number when appropriate and provides a decimal representation. The step-by-step section explains the calculation method, making the calculator useful for students, teachers, homework checking and everyday numerical tasks.
What Is a Fraction?
A fraction represents a quantity as one number divided by another. The top number is called the numerator and the bottom number is called the denominator. For example, in the fraction 3/4, the numerator is 3 and the denominator is 4.
A denominator cannot be zero because division by zero is undefined. This calculator validates denominator inputs before performing a calculation.
How to Add Fractions
Fractions with the same denominator can be added by adding their numerators while keeping the denominator. Fractions with different denominators must first be converted to equivalent fractions with a common denominator.
For example, 1/2 + 1/4 becomes 2/4 + 1/4, which equals 3/4.
How to Subtract Fractions
Subtracting fractions follows a similar process to addition. First create a common denominator, then subtract the numerators and simplify the result.
For example, 3/4 − 1/2 becomes 3/4 − 2/4, which equals 1/4.
How to Multiply Fractions
To multiply fractions, multiply the numerators together and multiply the denominators together. Then reduce the resulting fraction to lowest terms.
For example, 2/3 × 3/4 gives 6/12, which simplifies to 1/2.
How to Divide Fractions
To divide by a fraction, multiply by its reciprocal. The reciprocal is created by switching the numerator and denominator of the second fraction.
For example, 1/2 ÷ 3/4 becomes 1/2 × 4/3, which equals 4/6 and simplifies to 2/3.
What Does Simplifying a Fraction Mean?
Simplifying a fraction means reducing it to an equivalent fraction whose numerator and denominator have no common factor greater than one. For example, 6/12 simplifies to 1/2.
This calculator automatically finds the greatest common divisor of the numerator and denominator and uses it to reduce the answer to lowest terms.
Proper, Improper and Mixed Fractions
Proper Fraction
The numerator is smaller than the denominator, such as 3/4.
Improper Fraction
The numerator is greater than or equal to the denominator, such as 7/4.
Mixed Number
A whole number combined with a proper fraction, such as 1 3/4.
Important Note
This calculator is intended for educational and general informational use. Always verify critical calculations independently when accuracy is essential.
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FAQ
Frequently Asked Questions
Use a common denominator, convert each fraction
to an equivalent fraction with that denominator,
add the numerators and simplify the result.
Find a common denominator, convert the fractions,
subtract the numerators and reduce the answer.
Multiply the numerators together, multiply the
denominators together and simplify the result.
Multiply the first fraction by the reciprocal
of the second fraction, then simplify.
Yes. The result is automatically reduced to
lowest terms using the greatest common divisor.