Fraction Calculator
Solve fraction problems instantly with full step-by-step solutions. Supports simple fractions, mixed numbers, and all four operations with automatic simplification.
First Fraction
Second Fraction
How to use Fraction Calculator
The fraction calculator performs addition, subtraction, multiplication and division on two fractions and returns the result in its simplest form, as a mixed number and as a decimal. Step-by-step working is shown for each operation so you can understand and verify the method, making this ideal for homework, tutoring and learning fraction arithmetic.
- Enter the numerator and denominator for each fraction.
- Select the operation: +, −, × or ÷.
- Click Calculate.
- Review the simplified fraction, mixed number equivalent, decimal and step-by-step solution.
Your data never leaves your device — 100% private processing.
Fraction arithmetic rules
Addition and subtraction require a common denominator: find the LCD, convert both fractions, then add or subtract numerators. Multiplication is simpler — multiply numerators together and denominators together, then simplify. Division is multiplication by the reciprocal: (a/b) ÷ (c/d) = (a/b) × (d/c). Always simplify by dividing numerator and denominator by their Greatest Common Divisor (GCD).
Converting fractions, decimals and percentages
To convert a fraction to a decimal, divide the numerator by the denominator: 3/4 = 0.75. To convert to a percentage, multiply the decimal by 100: 0.75 = 75%. To convert a decimal back to a fraction, write the decimal over the appropriate power of 10 and simplify: 0.75 = 75/100 = 3/4. Improper fractions (where numerator > denominator) can also be expressed as mixed numbers: 7/4 = 1 3/4.
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.3% |
| 2/3 | 0.667… | 66.7% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 1/10 | 0.1 | 10% |
Glossary
- LCD
- Least Common Denominator — smallest number divisible by both denominators.
- GCD
- Greatest Common Divisor — the largest factor shared by numerator and denominator.
- Mixed number
- A whole number combined with a proper fraction, e.g. 1 3/4.
- Reciprocal
- The multiplicative inverse of a fraction: flip numerator and denominator.
Related reading
Frequently Asked Questions
Get weekly tool tips & updates
New tools, power-user tips, and productivity hacks — delivered free every Friday.
No spam, ever. Unsubscribe with one click.
Why use Fraction Calculator?
- Clear explanations alongside every calculation
- Covers common academic tools: GPA, citations, grade conversion
- Works on any device without installation
- Designed for both students and educators
Common use cases
- Calculate your current GPA or predict your semester GPA
- Convert grades between grading systems
- Generate properly formatted APA or MLA citations
- Calculate reading time for an essay
- Convert between different grading scales for international students
Related Education
Percentage Calculator
Calculate percentages instantly. Find what X% of a number is, what percentage X is of Y, or calculate percentage change.
Scientific Calculator
Free online scientific calculator with trig functions, logarithms, exponents, factorials, and memory. Works just like a physical scientific calculator.
Test Grade / Percentage Calculator
Calculate your test grade percentage and letter grade instantly. Enter questions right and wrong — or total points — to find your score and GPA impact.
GPA Calculator
Calculate your semester or cumulative GPA from course grades and credit hours. Supports A+ through F grading scale. Free online GPA calculator.
Grade Calculator
Calculate your current weighted average grade from assignment categories. See what score you need on remaining work to achieve your target grade.
Final Exam Grade Calculator
Calculate what score you need on your final exam to achieve your desired course grade. Enter current grade, exam weight, and target grade.
Explore all Education.