Math Calculators

Choose an equation or expression calculator

• Algebra Calculator solves one-variable linear equations, quadratic equations, and small systems of linear equations, with calculation details.
• Linear Equation Calculator solves a one-variable equation such as 2x + 3 = 7 and can show an exact fraction.
• Quadratic Equation Calculator accepts coefficients or a full supported equation and shows the discriminant and real or complex roots.
• Systems of Equations Calculator solves two or more simultaneous linear equations with Gaussian elimination steps.
• Exponent Calculator calculates a base raised to a real exponent; negative bases with non-integer exponents are rejected.
• Logarithm Calculator calculates a logarithm for a supported positive value and base, with input validation.
• Square Root Calculator calculates real square roots and nth roots; even-index roots of negative numbers are rejected.
• Scientific Calculator evaluates expressions with powers, roots, logarithms, trigonometry, constants, percentages, and scientific notation.

Find a fraction, ratio, percentage, or counting calculator

• Fraction Calculator simplifies a fraction or mixed number, or calculates a chain of fraction operations with exact and decimal results.
• Mixed Number Calculator adds, subtracts, multiplies, or divides mixed numbers, fractions, and whole numbers.
• Fraction and Ratio Calculator combines fraction and mixed-number operations with ratio simplification and direct or inverse proportions.
• Ratio Calculator simplifies a ratio, finds a missing term in an equivalent ratio, or divides a total quantity by a ratio.
• Proportion Calculator solves a missing value in a direct or inverse proportion and shows exact fraction and decimal results.
• Percentage Calculator calculates a percentage, finds one number's percentage of another, or measures percentage change.
• Combination Calculator counts unordered choices of r items from n items, with or without repetition.
• Permutation Calculator counts ordered arrangements of r items from n items, with or without repetition.
• Factorial Calculator calculates factorials or subfactorials for nonnegative integers from 0 through 10,000.

Calculate sequences, factors, and number properties

• Sequence Calculator handles arithmetic and geometric terms, sums, common differences or ratios, and missing values.
• Arithmetic Sequence Calculator finds a term or sum from the first term and common difference, or from two known terms.
• Geometric Sequence Calculator finds a term, finite sum, or infinite sum from a first term and common ratio.
• Greatest Common Factor Calculator calculates the GCF or GCD of two or more integers and shows Euclidean algorithm steps.
• Least Common Multiple Calculator calculates the LCM of two or more integers and shows the related GCF steps.
• Number Theory Calculator covers GCF, LCM, prime factorization, modular arithmetic, factorials, permutations, and combinations.
• Prime Factorization Calculator breaks a whole number from 2 through 999,999,999,999,999 into its prime factors.
• Modulo Calculator calculates a remainder for integer dividends and nonzero divisors up to 100 digits under truncated and floored conventions.

Measure shapes, coordinates, matrices, and vectors

• Geometry Calculator calculates slope, distance, midpoint, triangle and polygon area, circle measurements, and common solid volume or surface area.
• Circle Area Calculator calculates a circle's area, radius, diameter, and circumference from one known measurement.
• Triangle Area Calculator calculates area from base and height, three side lengths, or three coordinate points.
• Polygon Area Calculator calculates a regular polygon's area or a simple polygon's area from ordered vertex coordinates.
• Cone Volume Calculator calculates a right circular cone's volume, surface areas, base area, and slant height.
• Cylinder Volume Calculator calculates volume, total surface area, lateral surface area, and base area from radius and height.
• Sphere Volume Calculator calculates volume and surface area from radius or diameter.
• Pythagorean Theorem Calculator finds the missing side of a right triangle from two known sides.
• Distance Formula Calculator calculates straight-line distance between two points in 2D or 3D.
• Midpoint Calculator calculates the midpoint between two coordinate points in 2D or 3D.
• Slope Calculator calculates slope from two points or from rise and run values.
• Matrix Calculator adds, subtracts, multiplies, and transposes matrices, computes a determinant, inverse, or rank, and can solve Ax = b.
• Matrix Determinant Calculator calculates the determinant of a square matrix up to 8x8 with row-elimination steps.
• Matrix Inverse Calculator calculates the inverse of a square matrix up to 8x8 using Gauss-Jordan elimination.
• Vector Calculator handles magnitude, unit vectors, vector operations, dot and cross products, angles, and projections in 2D or 3D.
• Vector Magnitude Calculator calculates vector length from components in 2D, 3D, or higher dimensions.

Typical math calculator jobs

For 2x + 3 = 7, open Linear Equation Calculator to see the combined form, formula, result, and exact fraction when applicable. Two equations such as 2x + y = 5 and x - y = 1 belong in Systems of Equations Calculator, which shows Gaussian elimination steps.

Use Fraction Calculator for a chain of fraction operations. Ratio Calculator handles a missing equivalent term or divides a total by a ratio, while Proportion Calculator solves direct or inverse proportions.

When the known values are two coordinate points, a circle measurement, or two sides of a right triangle, choose Distance Formula Calculator, Circle Area Calculator, or Pythagorean Theorem Calculator.

Scientific Calculator evaluates expressions with trigonometry or scientific notation. For a matrix inverse, choose Matrix Inverse Calculator. For a determinant, choose Matrix Determinant Calculator and review the row-elimination steps.

Frequently asked questions