Math Calculators
Free math calculators for everyday problems — percentages, fractions, averages, area, volume, and more. Pick the tool you need.
What are Math Calculators?
Math calculators are tools that solve specific types of math problems — percentages, fractions, averages, geometry, and more. Unlike a basic calculator that only does arithmetic, each tool here is designed for a particular problem type and shows you the formula, steps, and result.
These calculators cover the math most people actually need: figuring out a tip percentage, splitting fractions in a recipe, calculating square footage for a room, or finding the average of a set of grades.
All Math Calculators
Percentage Calculator
Find percentages, calculate what percent one number is of another, or find the whole from a percentage. Handles all three percentage problem types.
- 3 modes
- X% of Y
- Reverse %
Fraction Calculator
Add, subtract, multiply, and divide fractions. Automatically simplifies results to lowest terms and shows mixed numbers.
- 4 operations
- Auto-simplify
- Mixed numbers
Percentage Change Calculator
Calculate the percentage increase or decrease between two values. Shows both the change amount and the percentage.
- Increase & decrease
- Old vs new
- Change amount
Average Calculator
Calculate the mean average of any set of numbers. Enter as many values as you need and get the result instantly.
- Unlimited values
- Mean average
- Sum & count
Area Calculator
Calculate the area of rectangles, circles, triangles, and other common shapes. Supports multiple unit types.
- 6 shapes
- Multiple units
- Step-by-step
Volume Calculator
Calculate the volume of cubes, cylinders, spheres, cones, and other 3D shapes. Shows formulas and step-by-step solutions.
- 7 shapes
- 3D geometry
- Step-by-step
Speed Distance Time Calculator
Calculate speed, distance, or time when you know two of the three. Works with mph, km/h, and other units.
- 3 solve modes
- mph & km/h
- Flexible units
Random Number Generator
Generate random numbers within any range. Set your minimum and maximum, generate one or multiple random numbers.
- Custom range
- Multiple numbers
- True random
Standard Deviation Calculator
Calculate standard deviation, mean, and variance for any data set. Supports both population and sample modes with step-by-step breakdown.
- Population & sample
- Mean & variance
- Step-by-step
Quadratic Formula Calculator
Solve any quadratic equation ax² + bx + c = 0. Shows roots, discriminant, vertex, and full step-by-step solution. Handles complex roots.
- Real & complex roots
- Discriminant
- Vertex
Aspect Ratio Calculator
Find the aspect ratio of any image or video dimensions, or resize while keeping the ratio. Presets for common formats like 16:9 and 4:3.
- Find ratio
- Resize to ratio
- Common presets
Ratio Calculator
Solve proportions by finding the missing value in A:B = C:D, or scale any ratio up or down by a multiplier.
- Solve proportions
- Scale ratios
- Cross-multiplication
GCF Calculator (Greatest Common Factor)
Find the greatest common factor of two or more numbers using the Euclidean algorithm. Shows prime factorizations and step-by-step math.
- Euclidean algorithm
- Prime factors
- Multi-number
LCM Calculator (Least Common Multiple)
Find the least common multiple of two or more numbers using the GCF method. Essential for adding fractions with different denominators.
- GCF method
- Multi-number
- Step-by-step
Slope Calculator
Calculate slope, y-intercept, line equation, angle, distance, and midpoint from any two points.
- Slope & intercept
- Line equation
- Distance & angle
Pythagorean Theorem Calculator
Solve a² + b² = c² for any right triangle. Find the hypotenuse or either leg with step-by-step math.
- Solve any side
- Area & perimeter
- Step-by-step
Circle Calculator
Find radius, diameter, circumference, and area from any one known value. Works with metric or imperial units.
- 4 input modes
- All properties
- Unit-agnostic
Triangle Calculator
Calculate area, perimeter, and all three angles using Heron's formula or base & height. Identifies triangle type.
- Heron's formula
- All angles
- Classification
Exponent Calculator
Compute any base raised to any power with step-by-step expansion. Handles negative and fractional exponents.
- Any base
- Negative exponents
- Scientific notation
Logarithm Calculator
Compute log base any value with change-of-base formula. Supports natural log (ln), common log, and binary log.
- Any base
- ln & log₁₀
- Change of base
Prime Number Checker
Check if any number up to one trillion is prime. Shows prime factorization for composite numbers.
- Up to 10¹²
- Factorization
- Trial division
Factorial Calculator
Compute factorial (n!) of any non-negative integer up to 1000. Used in probability, permutations, and combinations.
- Up to 1000!
- BigInt precision
- Step expansion
Which Math Calculator Should I Use?
Finding a percentage: Use the Percentage Calculator to find X% of a number, what percent one number is of another, or the whole from a part and percentage.
Comparing two values: Use the Percentage Change Calculator to find the increase or decrease between an old and new value — useful for price changes, salary raises, or growth metrics.
Working with fractions: Use the Fraction Calculator to add, subtract, multiply, or divide fractions. Results are automatically simplified.
Finding an average: Use the Average Calculator to calculate the mean of any set of numbers — grades, prices, measurements, or anything else.
Measuring space: Use the Area Calculator for 2D shapes (floor space, walls, land) or the Volume Calculator for 3D shapes (tanks, containers, rooms).
Travel & motion: Use Speed Distance Time to calculate any of the three when you know the other two.
Common Math Formulas
| Problem | Formula |
|---|---|
| X% of Y | Y × X ÷ 100 |
| Percentage change | ((New - Old) ÷ Old) × 100 |
| Average (mean) | Sum of values ÷ Count |
| Rectangle area | Length × Width |
| Circle area | π × r² |
| Triangle area | ½ × Base × Height |
| Box volume | Length × Width × Height |
| Cylinder volume | π × r² × Height |
| Sphere volume | ⅔ × π × r³ |
| Speed | Distance ÷ Time |
| Distance | Speed × Time |
| Time | Distance ÷ Speed |