Inputs
Numerator 11
Denominator 12
OperationAdd (+)
Numerator 21
Denominator 23
Results
Simplified Fraction5 / 6
Mixed Number5 / 6
Decimal Value0.83
Step-by-Step
1/2 + 1/3 = 3/6 + 2/6 = 5/6 ≈ 0.8333
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Fraction Calculator
★★★★★4.8·Free to use·Updated Apr 2026
What is a Fraction Calculator?
A fraction calculator performs arithmetic operations — addition, subtraction, multiplication, and division — on two fractions. It automatically simplifies the result to its lowest terms (using GCD), shows it as a mixed number when applicable, and converts it to a decimal for quick reference.
This is ideal for students, teachers, or anyone working with recipe scaling, measurements, or ratio problems.
Enter Details
Example Calculations
3 examplesClick any example to expand and see step-by-step workings. Use "▶ Load this example" to auto-fill the calculator.
How to Add, Subtract, Multiply and Divide Fractions
- Add/Subtract: a/b ± c/d = (a×d ± c×b) / (b×d), then simplify
- Multiply: a/b × c/d = (a×c) / (b×d), then simplify
- Divide: a/b ÷ c/d = a/b × d/c = (a×d) / (b×c), then simplify
- Simplify: Divide numerator and denominator by their GCD
∑Formula
Add/Subtract: a/b ± c/d = (a×d ± c×b) / (b×d), then simplify by GCD
Multiply: a/b × c/d = (a×c) / (b×d)
Divide: a/b ÷ c/d = (a×d) / (b×c)
Real-World Uses of Fraction Arithmetic
- Cooking: Scaling recipes — 2/3 cup × 1.5 = ?
- Construction: Measuring lengths in feet and inches (fractions)
- Finance: Bond prices quoted as fractions
- School maths: Class 5–10 fraction problems
- Programming: Ratio and aspect ratio calculations
Why Use CalcPioneer Fraction Calculator?
🆓
Free
no sign-up required
✨
Automatically simplifies to lowest terms
✨
Shows mixed number form
⚡
Decimal equivalent displayed instantly
✨
Step
by-step working for learning
Frequently Asked Questions
Find a common denominator (usually the LCM of the two denominators), convert each fraction, then add the numerators. E.g. 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
More About This Calculator
In-depth guides and tips for getting the most out of this tool.
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