Fraction Calculator
The Fraction Calculator helps work with fractions, including operations such as addition, subtraction, multiplication, division, simplification, and conversion between fractional forms where supported.
How to use this calculator
- Enter the numerator and denominator for the first fraction.
- Enter the second fraction when the selected operation requires one.
- Choose the mathematical operation you want to perform.
- Review the resulting fraction and its simplified form.
Fraction arithmetic
For addition and subtraction, use a common denominator. For multiplication, multiply numerators and denominators. For division, multiply by the reciprocal of the second fraction.
- Fractions represent a division of one quantity by another. The numerator is the top number and the denominator is the bottom number.
- Fractions can be simplified when the numerator and denominator share a common factor.
- Addition and subtraction require compatible denominators, while multiplication can be performed directly across numerators and denominators.
Worked examples
Example: adding fractions
Consider 1/4 + 1/4.
1/4 + 1/4 = 2/4 = 1/2
The simplified result is 1/2.
Example: multiplying fractions
Consider 2/3 × 3/4.
(2×3) ÷ (3×4) = 6/12 = 1/2
The simplified result is 1/2.
Understanding the result
The denominator cannot be zero because division by zero is undefined.
Two different-looking fractions can represent the same value. For example, 1/2 and 2/4 are equivalent.
Simplifying a fraction changes its representation while preserving its value.
Important notes
Check the denominator of every fraction before calculating.
Keep exact fractions when precision matters rather than converting to rounded decimals too early.
For educational work, make sure the displayed operation matches the method required by the problem.
Frequently asked questions
What is a numerator?
The numerator is the top number of a fraction and represents the number of parts being considered.
What is a denominator?
The denominator is the bottom number and indicates the number of equal parts represented by the whole.
Why simplify fractions?
Simplifying removes common factors from the numerator and denominator while preserving the same mathematical value.
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Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.