Fraction Calculator with Simplified Answers and Steps
Free calculator · clear working
Add, subtract, multiply, or divide two fractions. Get an exact simplified fraction, a mixed number when appropriate, a decimal approximation, and the working used to combine the fractions.
Go to the calculator ↓Runs in your browser. No account needed. Calculator inputs stay on this page and are not sent to a calculation server.
Use the Fraction Calculator
How to use this calculator
Enter integer numerators and denominators, then choose the operation. To enter a negative fraction, place a minus sign in the numerator or denominator. For a mixed number such as 2 1/3, first convert it to the improper fraction 7/3.
Formula and method
a/b + c/d = (ad + bc)/(bd). Subtraction replaces + with −. Multiplication gives ac/(bd). Division gives ad/(bc), provided the second fraction is nonzero. Divide numerator and denominator by their greatest common divisor.
Worked example
1/2 + 1/3 = (1 × 3 + 1 × 2)/(2 × 3) = 5/6. For division, 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.
Assumptions and limits
Denominators cannot be zero. Division by a zero-valued fraction is undefined. Integer arithmetic uses BigInt to preserve exact results within the input limits; the decimal is rounded for display.
Common questions
Why do denominators need to match when adding?
Fractions must describe the same-sized parts before their numerators can be combined. A common denominator rewrites them using equal-sized parts.
Can an answer have a negative denominator?
It is equivalent mathematically, but this calculator moves the negative sign to the numerator for a standard simplified form.
Related calculators
Method reference: OpenStax textbook. Formula and tool checked October 31, 2026. Results are rounded for display.
Related to This Article
More math articles
- Grade 7 Informational Reading: Central Idea, Claims, and Text Structure Strategies
- FREE 5th Grade FSA Math Practice Test
- The Ultimate TSI Math Formula Cheat Sheet
- How to Solve Systems of Equations with Substitution?
- The Best Grade 4 ELA Practice Tests for Georgia Students
- Wage Labor, Class and Early Unions: Hunt, Lowell and Collective Action
- Top 10 8th Grade Common Core Math Practice Questions
- Simpson’s Rule Calculator (Free, Step-by-Step)
- Unemployment, Migration, Family Survival, and Depression Culture
- 7th Grade Math Worksheets for Georgia (Milestones): 95 Free Printable PDFs
What people say about "Fraction Calculator with Steps | Effortless Math"?
No one replied yet.