Math calculators

Percentages, fractions, equations and geometry, with step-by-step answers.

• Area Calculator Free area calculator for 11 shapes, from squares and circles to trapezoids, sectors and regular polygons, with the formula, worked steps and a labelled diagram.
• Average Calculator Free average calculator that finds the mean, median, mode and range of a list of numbers, with the sum, count, minimum, maximum and every step shown.
• Circle Calculator Circle calculator that finds the radius, diameter, circumference and area from any one of them, plus arc length and sector area, exactly in terms of π.
• Complex Number Calculator Complex number calculator with steps. Add, subtract, multiply, divide, raise to powers, find all n-th roots, modulus, argument and polar form.
• Distance Between Coordinates Calculate the distance between two GPS coordinates with the haversine or Vincenty (WGS84) formula, plus bearing and midpoint, in km, miles and nautical miles.
• Exponent and Root Calculator Calculate powers with negative or fractional exponents, square, cube and nth roots, and simplify radicals exactly (√72 = 6√2), with the steps shown.
• Fraction Calculator Free fraction calculator that adds, subtracts, multiplies, divides and simplifies fractions and mixed numbers, with step-by-step working.
• Fraction to Decimal Converter Convert fractions to decimals and decimals to fractions, including repeating decimals like 0.(3) = 1/3, with long division and algebra steps.
• GCD and LCM Calculator Find the greatest common divisor and least common multiple of two or more numbers, with the Euclidean algorithm, prime factorization and LCM steps.
• Graphing Calculator Free online graphing calculator. Plot up to five functions y = f(x), zoom and pan, trace values on hover and download the graph as a PNG image.
• Hypothesis Test Calculator Run a one-sample, Welch, pooled or paired t test, a z test or a chi-square test online, with the p-value, critical value, decision and every step.
• Linear Equation and System Solver Solve a system of linear equations (2×2, 3×3, up to 5×5) exactly with fractions, every Gaussian elimination row operation, Cramer's rule and a check.
• Logarithm Calculator Calculate log base 10, natural log, log base 2 or any base, and antilogs, with exact answers when they exist (log₂ 8 = 3) and change-of-base steps.
• Long Division Calculator Long division calculator that shows the written layout step by step, with remainders, decimals, repeating digits and divisibility notes. Handles huge numbers.
• Matrix Calculator Free matrix calculator up to 6×6 with exact fractions. Find the determinant, inverse, rank, RREF, powers, eigenvalues and products, with every step shown.
• Percentage Calculator Free percentage calculator that finds X% of a number, what percent one number is of another, percentage change, and increases or decreases by a percentage.
• Percentage Difference Calculator Free percentage difference calculator that compares two values with the standard formula, shows the steps and gives the percentage change in both directions.
• Permutation and Combination Calculator Calculate permutations (nPr), combinations (nCr), factorials, repetitions and anagram counts exactly, with step-by-step formulas and a list of the cases.
• Prime Number Checker Check if a number is prime, get its prime factorization, the next and previous primes, and list all primes in a range. Works with very large numbers.
• Probability Calculator Probability calculator with exact fractions and steps for AND/OR, Bayes' theorem, at least one success, binomial distribution and odds.
• Pythagorean Theorem Calculator Pythagorean theorem calculator that finds the hypotenuse or a missing leg of a right triangle, with exact radicals, step-by-step working and a diagram.
• Quadratic Equation Solver Solve any quadratic equation ax² + bx + c = 0 with the discriminant, exact roots in radical form, complex roots, vertex form, factored form and a graph.
• Ratio and Proportion Solver Solve a proportion A:B = C:D for any missing term by cross-multiplication, and simplify ratios like 12:18:24 or 1.5:2 to whole numbers, with steps.
• Resistor Color Code Calculator Resistor color code calculator for 4, 5 and 6-band resistors. Read the value, tolerance and temperature coefficient, or find the colors for any value.
• Rounding Calculator Round a number to decimal places, significant figures or the nearest multiple of N, with half up, banker's, up, down or toward-zero rules and steps.
• Scientific Calculator Free online scientific calculator with trigonometry in degrees or radians, logarithms, powers, roots, factorials, keyboard input and a calculation history.
• Scientific Notation Converter Convert numbers to scientific notation, engineering notation, E notation and standard form while keeping the significant figures, with every step shown.
• Significant Figures Calculator Count the significant figures in a number, see which digits count and why, and round to any number of sig figs, including scientific notation.
• Standard Deviation Calculator Standard deviation calculator for sample and population data. Get the variance, mean, sum of squares and standard error, with every step of the formula shown.
• Triangle Calculator Free triangle calculator that solves any triangle from three values (SSS, SAS, ASA, AAS or SSA), with area, perimeter, heights, steps and a scaled diagram.
• Truth Table Generator Generate the truth table of any Boolean expression with up to 10 variables, plus minterms, maxterms, canonical SOP/POS forms and a tautology check.
• Volume Calculator Free volume calculator for 12 solids, from cubes and cylinders to cones, pyramids and frustums, with exact answers in π, surface area, litres and gallons.