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Math calculators

Percentages, averages, statistics, algebra. 46 tools.

Adding fractionsAdd two fractions and see the common denominator, the addition and the simplified answer — plus the decimal, percentage and mixed-number forms.AdditionAdd two numbers or a whole list of them, with the working shown. Handles decimals, negatives and very large values without losing precision on screen.AntilogReverse a logarithm: enter the exponent and the base to get the original number back, with the substitution shown.ArccosFind the angle whose cosine is a given value, returned in degrees or radians. Accepts any value from −1 to 1.ArcsinFind the angle whose sine is a given value, returned in degrees or radians. Accepts any value from −1 to 1.ArctanFind the angle whose tangent is a given value, returned in degrees or radians — the quickest way to turn a slope into an angle.AveragePaste any list of numbers to get the mean, median, mode, range, sum and count instantly — commas, spaces or new lines all work.Complex numbersAdd, subtract, multiply and divide complex numbers, with the modulus, argument and polar form of the result worked out alongside.ConvolutionConvolve two discrete sequences and see the full output, with the first few terms expanded so you can follow how each one is assembled.CosineCalculate the cosine of any angle in degrees or radians, with the radian conversion and the matching sine and tangent alongside.Dividing fractionsDivide one fraction by another using the reciprocal method, with each step shown and the answer simplified to its lowest terms.DivisionDivide one number by another and see the exact quotient, the whole part, the remainder and the result as a simplified fraction.Exponential growthProject a value forward at a constant growth rate and see the final amount, the multiplier and the doubling time.ExponentsRaise any base to any power, including negative and fractional exponents, and see the result in plain and scientific notation.FactorialCalculate n! exactly for any whole number up to 2000, using big-integer arithmetic so every digit of the answer is correct.FractionsAdd, subtract, multiply and divide fractions. Get the simplified result, the mixed number and the decimal, with every step shown.GCFFind the greatest common factor of two or more numbers, with prime factorisations shown so you can see exactly where the answer comes from.Hex calculatorDo arithmetic and bitwise operations directly in hexadecimal, with every result shown in hex, decimal, binary and octal at the same time.LCMFind the least common multiple of two or more numbers — the smallest value they all divide into — with prime factorisations shown.LogarithmCalculate a logarithm to any base, with the change-of-base working shown and log₁₀, ln and log₂ of the same number side by side.MultiplicationMultiply two numbers or a list of them. Shows the product in plain and scientific notation, which matters once the result runs long.Multiplying fractionsMultiply two fractions — numerators across the top, denominators across the bottom — then see the result simplified to its lowest terms.Natural logCalculate the natural logarithm of any positive number — the logarithm to base e — alongside its base-10 and base-2 equivalents.Nth rootCalculate any root of any number — square, cube, fourth or a fractional degree — with the result checked by raising it back to that power.Percent errorCompare a measured value with the accepted one and get the percent error, the absolute error and the signed error for lab reports.PercentageWork out percentages four ways: X% of Y, X is what % of Y, X is Y% of what, and percentage increase or decrease — with the working shown.Percentage changeFind the percentage change between two numbers, with the direction, the absolute difference and the working shown step by step.Percentage increaseWork out how much a value has grown in percentage terms — for prices, salaries, traffic or any pair of before-and-after numbers.PythagoreanSolve a right triangle from any two sides — find the hypotenuse or a missing leg, plus the area, perimeter and angles.QuadraticSolve ax² + bx + c = 0 for real or complex roots. Shows the discriminant, the vertex, and the full quadratic-formula working.Random numbersGenerate cryptographically secure random numbers in any range. Choose how many, allow or forbid duplicates, sort and copy in one click.RatioSimplify a ratio to its lowest terms and solve proportions — enter A : B and a value for C to find the matching D.RemainderDivide two numbers and get the quotient and the remainder separately, plus the modulo result for negative dividends.ScientificFull scientific calculator with trigonometry, logs, powers, roots, memory keys and a running history tape. Works with your keyboard.Scientific notation calcWork out scientific notation step by step: turn a plain number into a × 10ⁿ or expand it back, with engineering and E notation shown for each result.Simple calculatorA plain four-function calculator with a keypad, percentage and sign keys, and a running history tape of everything you have worked out.Simplifying fractionsReduce any fraction to its lowest terms, with the greatest common factor shown, plus the decimal, percentage and mixed-number equivalents.SineCalculate the sine of any angle in degrees or radians, with the radian conversion and the matching cosine and tangent shown.Square rootFind the square root of any positive number to ten significant figures, with the cube root and a verification step shown alongside.Std deviationCalculate population and sample standard deviation, variance, mean and the full step-by-step working from any list of numbers.Subtracting fractionsSubtract one fraction from another with the common denominator, the subtraction and the simplification all written out step by step.SubtractionSubtract one number from another, or work through a list from left to right, with each step of the calculation written out.TangentCalculate the tangent of any angle in degrees or radians, with the radian conversion and the sine and cosine it is built from.TrigonometryCalculate sin, cos, tan and their inverses in degrees or radians, with all three ratios shown at once and the conversion written out.VarianceCalculate sample or population variance and standard deviation from a list of numbers, with the sum of squares shown.Weighted averageAverage a set of values where some count more than others — add as many value-and-weight pairs as you need and see both averages.