Math Calculators

Algebra, arithmetic, fractions, and core maths tools. Each calculator shows the working behind every result so you can learn the method, not just copy the answer.

These tools are grouped by what they compute, not by difficulty - a percentage question and a derivative both reduce to applying one formula correctly, and both calculators show the same kind of stepped working. A natural path through this group follows increasing abstraction: percentages and fractions describe parts of a whole, exponents and logarithms describe repeated multiplication and its inverse, and derivatives/integrals/limits describe how a quantity changes - each building on ideas from the one before it.

• PercentageFind a percentage of a number, work out what percentage one number is of another, or calculate percentage change.
• FractionAdd, subtract, multiply and divide fractions with exact results, automatically reduced to lowest terms.
• ExponentRaise any number to any power, take nth roots, and solve for an unknown exponent.
• LogarithmBase-10, base-2 and any-base logarithms, plus antilogs, with the log laws and a reference table.
• Natural logCalculate ln(x) and its inverse eˣ, and see why the number e turns up wherever things grow continuously.
• FactorialCompute n!, permutations (nPr) and combinations (nCr), with a factorial table and the counting logic behind each.
• StatisticsMean, median, mode, range, variance and standard deviation from a list of numbers, with both sample and population forms.
• AverageA fast everyday mean/median/mode/range check for a short list of numbers - quiz scores, weekly readings, a handful of measurements.
• RatioSimplify ratios, find equivalent ratios, and convert between ratios and fractions.
• Square rootCalculate square roots, cube roots, and nth roots of any number.
• DerivativeFind the derivative of polynomials and basic functions with step-by-step power rule solutions.
• IntegralFind the indefinite and definite integral of polynomials using the reverse power rule.
• LimitEvaluate limits of functions as x approaches a value, including one-sided limits.

Explore next: the order-of-operations rules every calculator on this page relies on, and the log and exponent rules cheat sheet.