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Math Tools

Math tools for percentages, equations, statistics, geometry, number systems and everyday calculations — fast and accurate.

73 free tools · No signup required · Runs in your browser
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Unit Converter
Convert length, weight, temperature, area, volume, speed, data, time
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Roman Numeral Converter
Convert between integers and Roman numerals with validation
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Percentage Calculator
All percentage calculations: X% of Y, change, increase/decrease
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Percentage Change Calculator
Percent increase or decrease between two values
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Statistics Calculator
Mean, median, mode, range, variance, and standard deviation
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Fraction Calculator
Add, subtract, multiply, and divide fractions with simplification
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Ratio Calculator
Simplify ratios and solve for missing values
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Permutation & Combination Calculator
Permutations and combinations with and without repetition
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Quadratic Equation Calculator
Solve ax² + bx + c with real and complex roots
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Logarithm Calculator
Logs with any base plus natural and common logarithms
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Roman Numeral Calculator
Convert between Arabic numerals and Roman numerals
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Prime Factorization Calculator
Prime factors of any number with exponent notation
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Z-Score Calculator
Z-score, percentile, and tail probabilities for the normal distribution
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Confidence Interval Calculator
Confidence intervals with margin of error and critical values
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Sample Size Calculator
Minimum survey sample size with confidence level and error margin
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Probability Calculator
Binomial probabilities and event rules for combinations of A and B
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Area Calculator
Area and perimeter for rectangles, triangles, circles and more
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Speed Distance Time Calculator
Solve speed, distance or time with km/h, m/s, mph and knots
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LCM & GCD Calculator
Least common multiple and greatest common divisor of any set of numbers
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Factorial Calculator
Exact n! for huge numbers plus digit count and scientific notation
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Scientific Notation Calculator
Convert to and from scientific, E and standard notation
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Temperature Converter
Celsius, Fahrenheit, Kelvin, Rankine and Réaumur conversion
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Length Converter
Convert mm, cm, m, km, inches, feet, yards and miles
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Weight Converter
Convert mg, g, kg, tons, ounces, pounds and stones
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Volume Converter
Convert ml, liters, cups, pints, quarts and gallons
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Algebra Calculator (Linear & Quadratic Solver)
Solve linear equations ax + b = c, quadratic equations ax² + bx + c = 0 with real/complex roots, and find the equation of a line through two points. Step-by-step results.
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ANOVA Calculator (One-Way)
Run a one-way ANOVA on up to several groups: sums of squares, degrees of freedom, mean squares, the F-statistic and an exact p-value from the F-distribution.
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Chain Rule Calculator
Apply the chain rule d/dx f(g(x)) = f'(g(x))·g'(x) to common composite functions — power, exponential, trig and log — with a step-by-step breakdown at any point x.
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Circumference Calculator
Find the circumference, diameter, radius and area of any circle from a single value — radius, diameter, circumference or area. C = 2πr, A = πr².
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Common Denominator Calculator
Find the least common denominator of two fractions, rewrite both as equivalent fractions, and add or subtract them with a simplified result.
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Derivative Calculator
Symbolic differentiation in your browser: enter an expression in x using +, −, ×, ÷, ^, sin, cos, tan, exp, ln, sqrt and get the derivative plus its numeric value at any point.
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Elimination Calculator (Solve Linear System)
Solve a 2×2 system of linear equations step by step using the elimination method. Shows the full working — scaling, subtraction, solving and back-substitution.
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Exponent Calculator
Raise any base to any power: negative, fractional and large exponents. See the decimal result, scientific notation, the reciprocal form for negative powers and more.
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Exponential Growth Calculator
Model exponential growth A = P(1+r)^t for populations, revenue, bacteria, inflation and more — with doubling time, growth table and projections.
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Factoring Calculator
Factor quadratic expressions ax² + bx + c into (px + q)(rx + s) when possible, or express them using the roots. Step-by-step with integer and fractional factors.
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Fibonacci Calculator – Nth Fibonacci Number & Sequence
Free Fibonacci calculator. Compute the nth Fibonacci number, view the full sequence, and see the golden ratio convergence instantly.
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Fourier Series Calculator – Coefficients for Common Waveforms
Free Fourier series calculator. Compute a0, an and bn coefficients for square, triangle, sawtooth, half-wave and full-wave rectified signals.
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Gauss-Jordan Elimination Calculator – Solve Linear Systems
Free Gauss-Jordan elimination calculator. Solve systems of linear equations, get the reduced row echelon form (RREF) and detect unique, infinite or no solutions.
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Golden Ratio Calculator – Divide Any Length at φ
Free golden ratio calculator. Divide any length into golden sections (61.8% / 38.2%), see the value of φ and its powers, with a visual split bar.
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HCF & LCM Calculator – Highest Common Factor & Least Common Multiple
Free HCF and LCM calculator. Find the highest common factor (GCD) and least common multiple of up to six numbers with prime factorizations shown.
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Integral Calculator – Definite Integral by Trapezoidal & Simpson's Rule
Free definite integral calculator. Evaluate integrals numerically using the trapezoidal rule and Simpson's rule with step size control.
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Inverse Function Calculator – Find f⁻¹(x) Numerically
Free inverse function calculator. Numerically solve x = f⁻¹(y) for any function, check monotonicity, and verify f(f⁻¹(y)) = y.
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IQR Calculator – Interquartile Range & Outlier Detection
Free IQR calculator. Compute Q1, median, Q3 and the interquartile range for any dataset, with 1.5×IQR outlier detection and a box plot.
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LCM Calculator – Least Common Multiple of Multiple Numbers
Free LCM calculator. Find the least common multiple of up to six numbers with prime factorization and divisibility checks.
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Log Calculator – Logarithm with Any Base
Free log calculator. Compute log base 2, 10, e or any custom base, with natural log, change-of-base formula and inverse verification.
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Long Division Calculator – Quotient, Remainder & Repeating Decimals
Free long division calculator. Get the quotient, remainder and decimal expansion of any integer division, with repeating digit detection and step-by-step working.
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LU Factorization Calculator – Decompose a Square Matrix
Free LU factorization calculator. Decompose any square matrix into lower and upper triangular matrices (PA = LU) with partial pivoting and verification.
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Matrix Calculator – Add, Subtract, Multiply, Invert & More
Free matrix calculator. Add, subtract, multiply, transpose, find determinants and inverses of up to 4×4 matrices with step-by-step results.
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Mean Calculator – Arithmetic, Geometric, Harmonic & Weighted Average
Free mean calculator. Compute arithmetic, geometric, harmonic and weighted averages plus median, mode, range, variance and standard deviation of any list of numbers.
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Mean Deviation Calculator – Average Absolute Deviation MAD
Free mean deviation calculator. Compute the average absolute deviation (MAD), mean squared deviation (MSD) and root mean square deviation of any dataset.
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Median Calculator – Find the Middle Value of a Dataset
Free median calculator. Find the median, quartiles, min, max and range of any dataset with sorted values and step-by-step explanation.
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Midpoint Calculator – Find the Midpoint Between Two Points
Free midpoint calculator. Find the midpoint between two points in 2D or 3D space with step-by-step results and distance.
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Modulo Calculator – a mod b with Step-by-Step Remainder
Free modulo calculator. Compute a mod b, get the remainder with quotient, and see step-by-step work. Supports negative and large numbers.
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Percentile Calculator – Find Any Percentile of a Dataset
Free percentile calculator. Find the value at any percentile (25th, 50th, 75th, 90th, 95th…) using linear interpolation with sorted data.
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Pythagorean Theorem Calculator – Find a, b or c
Free Pythagorean theorem calculator. Solve for hypotenuse or any leg of a right triangle with step-by-step work, area and perimeter.
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QR Factorization Calculator – Gram-Schmidt QR Decomposition
Free QR factorization calculator. Decompose any square matrix A into Q·R using the modified Gram-Schmidt process, with verification.
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Quadratic Formula Calculator – Solve ax² + bx + c = 0
Free quadratic formula calculator. Solve ax² + bx + c = 0 with real and complex roots, discriminant, vertex, axis of symmetry and step-by-step work.
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Quartile Calculator – Q1, Q2, Q3, IQR & Outliers
Free quartile calculator. Find Q1, Q2 (median), Q3, the interquartile range (IQR), outliers and a box plot of your data.
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Rational Expressions Calculator – Simplify & Operations
Free rational expressions calculator. Simplify, add, subtract, multiply and divide rational expressions with step-by-step factoring and excluded values.
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Rounding Calculator – Round to Nearest Decimal, Whole, Tenth
Free rounding calculator. Round any number to the nearest integer, tenth, hundredth, thousandth or any decimal place with step-by-step result.
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Sig Fig Calculator – Significant Figures Rounding
Free significant figures calculator. Count and round to significant figures, with scientific notation, step-by-step rules and calculations that respect sig figs.
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Simplex Method Calculator – Linear Programming Solver
Free simplex method calculator for linear programming. Maximize an objective function under ≤ constraints with full tableau iterations and final solution.
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Slope Calculator – Slope Between Two Points & Line Equation
Free slope calculator. Find the slope between two points, the line equation y = mx + b, angle of inclination, and graph data.
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Speed Calculator – Distance, Time & Speed with Units
Free speed calculator. Find speed, distance or time with any unit combination — km/h, mph, m/s, knots — and convert between them.
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Square Root Calculator – Simplify & Calculate √x
Free square root calculator. Calculate the square root of any number, simplify radical form (e.g. √50 = 5√2), cube roots and nth roots.
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Standard Deviation Calculator – Population & Sample SD
Free standard deviation calculator. Compute population and sample standard deviation with variance, mean, deviations and step-by-step table.
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Synthetic Division Calculator – Divide Polynomials by x − c
Free synthetic division calculator. Divide any polynomial by (x − c) using the synthetic division method with quotient, remainder and step-by-step row work.
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T-Test Calculator – One & Two Sample t-Test Statistics
Free t-test calculator. Run one-sample and two-sample t-tests with t-statistic, degrees of freedom and p-value estimates, plus interpretation.
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Trapezoidal Rule Calculator – Numerical Integration
Free trapezoidal rule calculator. Approximate definite integrals with the trapezoid rule, Simpson's rule and the midpoint rule, with step-by-step intervals and error estimates.
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Triangle Calculator – Sides, Angles, Area & More
Free triangle calculator. Enter three side lengths to get area, all angles, height, perimeter, circumradius, inradius and triangle type with an instant visual.
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Shapes Area Calculator
Find the area of 9 common shapes instantly. Rectangle, triangle, circle, trapezoid, hexagon, ellipse, and more, with results in square feet, meters, and acres.
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Random Number Generator
Generate cryptographically secure random integers in any range — unique, sorted or with repeats, live sum and average stats, one-click copy and export.
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Number to Words Converter
Spell out any number in English — integers, decimals and negatives up to 10^63, with currency and ordinal modes plus British

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