Math Calculators
Percentages, fractions, algebra, geometry and everyday arithmetic.
- Absolute Value Calculator Find the absolute value of a number, the distance between two numbers, or solve an absolute value equation for its two answers.
- Area Calculator Find the area of a rectangle, triangle, circle, trapezoid, parallelogram, ellipse, sector or regular polygon — one page for every common shape.
- Arithmetic Sequence Calculator Find any term of an arithmetic sequence, the sum of its first n terms, or work backwards from two known terms to the rule.
- Average Calculator Find the mean, median, mode and range of a list of numbers, and see which average actually represents your data.
- Binary Calculator Add, subtract, multiply and divide binary numbers, apply bitwise operations and shifts, and convert to decimal and hex.
- Boolean Algebra Calculator Simplify a Boolean expression to a minimal sum of products and product of sums using Quine–McCluskey, with optional don't-care conditions.
- Boolean Expression Calculator Build the truth table of a Boolean expression, list its minterms and maxterms with canonical SOP and POS, and test whether two expressions are equivalent.
- Boolean Logic Calculator Find the output of AND, OR, NOT, NAND, NOR, XOR and XNOR logic gates for your inputs, with the gate's truth table, expression and NAND-only equivalent.
- Circle Calculator Enter any one of radius, diameter, circumference or area and get the other three, plus the exact value in terms of pi.
- Cone Calculator Find a cone's volume, slant height, curved surface and total surface area from its radius and height, or from its slant height.
- Cube Root Calculator Find the cube root of any number, including negatives, in exact simplified form where possible, or cube a number.
- Cylinder Calculator Find a cylinder's volume, surface area and capacity in litres from its radius and height — or work backwards from a required volume.
- Decimal to Fraction Calculator Turn any decimal into an exact fraction in lowest terms, including repeating decimals such as 0.1666 recurring.
- Discriminant Calculator Find the discriminant of a quadratic or cubic and what it says about the roots: how many are real, whether they repeat and whether they are rational.
- Distance Formula Calculator Find the straight-line distance between two points in 2D or 3D, with the exact simplified surd as well as the decimal.
- Exponent Calculator Raise any number to any power, including negative and fractional exponents, or solve for the base or the exponent itself.
- Exponential Increase Calculator Calculate exponential increase by a fixed percentage per period: the final value, the growth rate needed or the periods to reach a target, plus doubling time.
- Factorial Calculator Work out the factorial of any whole number, exactly for large values, with the trailing-zero count and digit length.
- Fibonacci Calculator Find any Fibonacci number exactly, list the sequence, check whether a number belongs to it, and see how it approaches the golden ratio.
- Fourier Series Calculator Find the Fourier series coefficients a0, an and bn of a function on [−L, L], the first N terms of the series and its value at a point.
- Fraction Calculator Add, subtract, multiply or divide two fractions, with the result reduced to lowest terms and shown as a decimal.
- Fraction to Decimal Calculator Convert any fraction to a decimal, with repeating digits identified and the length of the repeating block shown.
- Fraction to Percent Calculator Convert a fraction to a percentage, or turn a percentage back into a fraction in lowest terms.
- GCF Calculator Find the greatest common factor of two or more numbers, by prime factorisation and by the Euclidean algorithm, with both methods shown.
- Geometric Sequence Calculator Find any term of a geometric sequence, the sum of its first n terms, or the infinite sum when the ratio is small enough to converge.
- Hex Calculator Add, subtract, multiply and divide hexadecimal numbers, convert to decimal and binary, and read hex colour codes and byte values.
- LCM Calculator Find the lowest common multiple of two or more numbers, by prime factorisation and via the greatest common factor, with both routes shown.
- Linear Equation Calculator Solve a linear equation for x, with variables on one side or both, and see the degenerate cases explained rather than hidden.
- Logarithm Calculator Find a logarithm in any base, including natural and base 10, or solve for the base or the value the logarithm is taken of.
- Long Division Calculator Divide one number by another and see every step of the long division, with a remainder or carried out to decimal places.
- Matrix Calculator Add, subtract and multiply matrices, or find the determinant, inverse and transpose of a 2×2 or 3×3, with the working shown.
- Midpoint Calculator Find the midpoint between two points, or work backwards from a midpoint and one endpoint to find the missing endpoint.
- Mixed Number Calculator Convert between mixed numbers and improper fractions, or add, subtract, multiply and divide two mixed numbers.
- Multiplication Table Generator Generate the times table for any number, or a full grid up to any size, with the patterns that make each table easier to learn.
- Number Base Converter Convert a number between any two bases from 2 to 36, with every common base shown alongside and exact arithmetic at any size.
- Percent Error Calculator Compare a measured or estimated value against the accepted true value, and express how far off it was as a percentage.
- Percentage Calculator Work out a percentage of a number, what percentage one number is of another, or the percentage change between two values.
- Percentage Decrease Calculator Find the percentage drop between two values, take a percentage off a number, or work backwards to the price before a discount.
- Percentage Difference Calculator Compare two values where neither is a baseline. Divides by their average, so the answer is the same whichever order you enter them.
- Percentage Increase Calculator Find the percentage increase between two values, or apply an increase to a number to see what it becomes.
- Perimeter Calculator Find the perimeter of a rectangle, triangle, circle, parallelogram, trapezoid, regular polygon or ellipse — the distance all the way round.
- Polygon Calculator Find the area, perimeter, angles, apothem and radius of a regular polygon from its side length, apothem or circumradius.
- Polynomial Multiplication Calculator Multiply two or three polynomials and expand the product, with every term-by-term product, FOIL for binomials and the degree of the result.
- Prime Factorization Calculator Break any whole number into its prime factors, with the factor tree, the exponent form, and every divisor it produces.
- Prime Number Checker Check whether a number is prime, see the divisor that rules it out, and find the nearest primes on either side.
- Proportion Calculator Solve a proportion for its missing term by cross-multiplying, check whether two ratios match, or work with inverse proportion.
- Pythagorean Theorem Calculator Find a missing side of a right triangle, or check whether three lengths form one, with the exact answer and both acute angles.
- Quadratic Equation Calculator Solve any quadratic equation, with the discriminant, the exact surd roots, the vertex and the factored form.
- Quotient Rule Calculator Differentiate f(x) = u(x)/v(x) with the quotient rule, showing u′, v′, the substituted formula, the slope at a point and the tangent line.
- Radians to Degrees Calculator Convert between radians, degrees, gradians and turns, with the exact multiple of pi shown wherever there is one.
- Ratio Calculator Simplify a ratio, scale it up or down, find a missing term, or split a total amount in a given ratio.
- Rational Algebraic Expressions Calculator Add, subtract, multiply or divide two rational expressions in x, reduce the result to lowest terms and list the excluded values of x.
- Rectangle Calculator Find a rectangle's area, perimeter and diagonal from its sides — or work backwards from the area, perimeter or diagonal to a missing side.
- Remainder Calculator Find the remainder when one number is divided by another, check divisibility, or work with modular arithmetic including large powers.
- Right Triangle Calculator Solve a right triangle from any two of its measurements, including sides, angles, the altitude to the hypotenuse and both circle radii.
- Rounding Calculator Round a number to any number of decimal places or to the nearest ten, hundred or thousand, using the rounding rule you need.
- Scientific Notation Calculator Convert between ordinary numbers and scientific notation, or multiply and divide two numbers written in it.
- Significant Figures Calculator Count the significant figures in a number, or round it to a chosen number of them, with the reason each digit counts explained.
- Simplest Radical Form Calculator Write a square root, cube root or any nth root in simplest radical form, with prime factors shown and fractions under the root rationalised.
- Simplify Fraction Calculator Reduce any fraction to its lowest terms, with the greatest common divisor and the full chain of equivalent fractions shown.
- Simplify Radical Expressions Calculator Add, subtract and multiply square roots: simplify each term, combine like radicals and get an exact answer such as 17√3 with a decimal check.
- Simpson's Rule Calculator Approximate a definite integral with Simpson's 1/3 or 3/8 rule, showing each point, its weight, the step size and an estimated error.
- Sine Cosine Tangent Calculator Find all six trigonometric ratios for any angle, or work backwards from a ratio to the angle, with exact values at the special angles.
- Slope Calculator Find the slope between two points, or the angle and grade it corresponds to, along with the full equation of the line.
- Sphere Calculator Find a sphere's volume, surface area, radius, diameter or circumference from any one of them, with the working shown.
- Square Root Calculator Find the square root of any number, simplified into exact surd form where possible, with the decimal value alongside.
- Surface Area Calculator Find the surface area of a box, cube, sphere, cylinder, cone, pyramid, prism or hemisphere, with each face listed separately.
- System of Equations Calculator Solve two or three simultaneous linear equations, with the determinant, the elimination steps, and the parallel and coincident cases explained.
- Trapezoid Calculator Find the area, perimeter and median of a trapezoid from its two parallel sides and either the height or the two slanted legs.
- Trapezoidal Approximation Calculator Estimate a definite integral with the trapezoidal rule from a function or from a table of data with uneven spacing, with left, right and midpoint sums.
- Triangle Calculator Solve any triangle from three sides, two sides and the angle between them, or two angles and a side — with area, heights and classification.
- Trigonometric Identities Calculator Evaluate and check the main trigonometric identities at your angles: Pythagorean, double angle, half angle, and sum and difference formulas.
- Trigonometry Calculator Solve any triangle by the law of sines or cosines — including the ambiguous SSA case, where two different triangles can fit the same measurements.
- Volume Calculator Find the volume of a box, cube, sphere, cylinder, cone, pyramid, prism or hemisphere — with the answer converted to litres and gallons.