CalcChef tool collection
Math Calculators
Get fast answers for basic arithmetic and more involved math problems, with tools for common school, work, and home calculations.
Start with these tools
Basic Calculator
Basic calculator for + − × ÷ in the standard order of operations (2 + 3 × 4 = 14), with % and memory keys, ^ for powers and the result as a fraction.
Percentage Calculator
Percentage calculator for seven questions: X% of Y, X is what % of Y, percent change, percent difference, X is Y% of what, and a percent increase or decrease.
Scientific Calculator
Keypad or keyboard calculator with brackets, sin, cos, tan and their inverses in degrees or radians, log, ln, √, x^y, 10ˣ, memory and Ans, in the usual order.
Fraction Calculator
Add, subtract, multiply or divide two fractions or mixed numbers. Exact answer in lowest terms, with mixed number, decimal and the steps.
Triangle Calculator
Enter any three sides or angles of a triangle, at least one a side. Solves SSS, SAS, ASA, AAS and both SSA triangles, with area, perimeter and heights.
All Math Calculators
58 free browser-based tools
Arithmetic Sequence Calculator
Arithmetic sequence nth term aₙ = a₁ + (n − 1)d and sum Sₙ of the first n terms, with the first 20 terms listed and the position of any value.
Average Calculator
Calculate mean, median, mode, range and sum for a list of numbers separated by commas, spaces or new lines, up to 10,000 values.
Basic Calculator
Basic calculator for + − × ÷ in the standard order of operations (2 + 3 × 4 = 14), with % and memory keys, ^ for powers and the result as a fraction.
Betting Odds Calculator
Convert betting odds between American, decimal and fractional formats, see the implied probability, and get the profit and total return on a stake.
Board Foot Calculator
Board feet from thickness (in) × width (in) × length (ft) ÷ 12, for one board or a stack, with hardwood quarters, a waste allowance and the cost.
Concrete Sonotube Footing Calculator
Concrete for round tube footings: π × (d ÷ 2)² × depth per tube, in cubic feet and yards, with 40, 50, 60 and 80 lb bag counts rounded up.
CPM Calculator
CPM = cost ÷ impressions × 1,000, so $500 for 50,000 is $10.00. Or solve for the total cost, or for the impressions a budget buys at a given CPM.
Cross Product Calculator
Cross product A × B of two 3D or 2D vectors with the i, j, k working, the magnitude (parallelogram area), the dot product and a picture.
Cubic Feet Calculator
Cubic feet of a box or room: length × width × height, each side in ft, in, yd, m, cm or mm, with a quantity, a cost, cubic yards, m³ and liters.
Cubic Yard Calculator
Cubic yard calculator for rectangles, circles, triangles, cones, pyramids, hemispheres and tubes, in feet, inches, yards, meters or centimeters.
Cylinder Volume & Surface Area
Volume, surface area, curved side and end of a cylinder from radius and height, or the radius or height from a volume: V = πr²h and A = 2πr(h + r).
Decimal to Fraction
Convert a decimal to a fraction in lowest terms and see the working: 0.75 = 3/4, 2.75 = 11/4 or 2 3/4, and 0.333… (3 repeating) = 1/3.
Derivative Calculator
Enter f(x) and a point x = a to get f′(a), f(a), the tangent line and its graph, plus the formula for f′(x). Flags corners, jumps and vertical tangents.
Determinant Calculator
Determinant of a square matrix up to 10 × 10 as an exact fraction and a decimal, with the cofactor working shown for 2 × 2 and 3 × 3.
Eigenvalue Calculator
Eigenvalues and eigenvectors of a 2 × 2 or 3 × 3 matrix from its characteristic equation, with the trace and determinant and complex pairs a ± bi.
Fibonacci Sequence Generator
Fibonacci numbers from any two starting values: the first 1 to 1000 terms, the exact nth term up to n = 10,000, and the golden ratio estimate.
Fraction Calculator
Add, subtract, multiply or divide two fractions or mixed numbers. Exact answer in lowest terms, with mixed number, decimal and the steps.
Golden Ratio Calculator & Visualizer
Enter any length to get its golden ratio pair: the value multiplied and divided by φ (1.618). View it as a golden rectangle, spiral or line split.
Graphing Calculator
Plot y = f(x) or equations like x² + y² = 1 with sin, cos, tan, log, sqrt, abs and pow, sliders for a, b, c and a value table. Inequalities are not supported.
Integral Calculator
Enter f(x) and the limits a and b to get the definite integral as a number, by Simpson's rule with 1,000 intervals. Net signed area, no antiderivative.
Interpolation Calculator
Linear interpolation between two points: y at any x, x for a given y and the line y = mx + b, with a note when x lies outside them (extrapolation).
LCM and GCD Calculator
GCD (also called GCF or HCF) and LCM of 2 to 10 whole numbers, with the Euclidean steps and the prime factors of each number shown.
Limit Calculator
Limit of f(x) as x approaches a number, +∞ or −∞: f(c) where f is continuous, otherwise an estimate from samples. Shows one-sided limits, ±∞ and jumps.
Linear Regression Calculator
Least-squares line y = mx + b for your (x, y) data, with Pearson r, R², the number of points used and predictions of y from x or x from y.
Logarithm Calculator
Log of a positive number to base 10, base 2, base e (ln) or any base above 0 except 1, shown to 10 significant digits.
Long Division Calculator
Long division of two numbers with every step shown: quotient, remainder, exact fraction, the decimal with its repeating digits marked, and the working.
Matrix Calculator
Add, subtract and multiply matrices up to 10 × 10, or get the determinant, inverse, transpose, rank and row-reduced form. Answers are exact fractions.
Midpoint Calculator
Midpoint of two points in 2D or 3D by ((x₁ + x₂)/2, (y₁ + y₂)/2), or a missing end point by B = 2M − A, with the working shown and exact sums.
Mixed Number Calculator
Add, subtract, multiply or divide two mixed numbers. The answer comes as a mixed number, an improper fraction and a decimal, with each step written out.
Modulo Calculator
a mod n for any two numbers: the remainder when both are positive (17 mod 5 = 2), and the sign of the divisor for negatives (-7 mod 3 = 2).
nCr and nPr Calculator
Enter n and r up to 170 and choose combinations (nCr) or permutations (nPr) to get the exact count with its factorial working: C(52, 5) = 2,598,960.
P-Value Calculator
P-value from a z, t, chi-square or F statistic and its degrees of freedom, left-, right- or two-tailed, with an optional comparison against alpha.
Percent Error Calculator
Percent error of a measured value against the true value, |measured − true| ÷ |true| × 100, signed if you want, or the percent difference of two values.
Percentage Calculator
Percentage calculator for seven questions: X% of Y, X is what % of Y, percent change, percent difference, X is Y% of what, and a percent increase or decrease.
Permutation and Combination Calculator
Counts permutations nPr and combinations nCr for n and r up to 1000, with or without repetition. Every digit is exact and the formula is worked through.
Prime Factorization Calculator
Prime factorization of any whole number from 2 to 999,999,999,999, shown as a product and as powers: 360 = 2^3 × 3^2 × 5.
Prime Number Checker
Type a whole number below 3.3 × 10^24 to see whether it is prime. A composite gets its smallest prime factor, and the five primes on either side are listed.
Pythagorean Theorem Calculator
Solve a right triangle's missing side from the other two: c = √(a² + b²) or a = √(c² − b²). Leave one side empty to solve for it.
Quadratic Equation Solver
Solve ax² + bx + c = 0 for real or complex roots, with the discriminant, vertex, axis of symmetry, step list and a parabola plot.
Ratio Calculator
Ratio calculator: solve A : B = C : D for a missing term, check two ratios, simplify (12 : 18 becomes 2 : 3) or split a total, so 25 in 3 : 2 is 15 and 10.
Right Triangle Calculator
Enter two sides, or one side and an acute angle, to get the other sides, both angles, the area and the perimeter. Legs 3 and 4 give a hypotenuse of 5.
Rounding Calculator
Round a number to decimal places, significant figures, a whole number, a ten or hundred, or a multiple such as 5 or 0.25: 123.456789 to 2 places is 123.46.
RREF Calculator
Reduce a matrix of up to 6 × 6 to reduced row echelon form by Gauss-Jordan elimination, with rank, pivot columns and row steps, as decimals or exact fractions.
Sales Tax Calculator
Add sales tax to a price to get the total, or remove it from a total to find the price before tax. Enter the amount and your rate; tax is rounded to the cent.
Sample Size Calculator
Survey sample size from the confidence level, margin of error and expected proportion, or the margin of error for a sample you have: 95% and ±5% need 385.
Scientific Calculator
Keypad or keyboard calculator with brackets, sin, cos, tan and their inverses in degrees or radians, log, ln, √, x^y, 10ˣ, memory and Ans, in the usual order.
Scientific Notation Calculator
Convert one number, such as 0.000123 or 1.2e-4, to scientific, standard decimal and engineering notation as you type. It does no arithmetic.
Sig Fig Calculator
Count the significant figures in a number, round to a chosen number of sig figs, or add, subtract, multiply and divide with the rounding rule shown.
Simple Interest Calculator
Simple interest calculator using I = P × r × t. Enter the principal, annual rate and a time in years, months or days to get the interest and the total.
Slope Calculator
Enter two points for the slope (also as a fraction), y-intercept, distance, angle and line equation, or find a missing coordinate from a point and a slope.
Sphere Volume and Surface Area Calculator
Sphere volume (4/3 πr³) and surface area (4πr²) from the radius or diameter, or the radius from a volume or area: a radius of 5 gives 523.5988 and 314.1593.
Square Footage Calculator
Square footage of rooms measured in feet: rectangles, triangles and circles, minus doors and openings, with the total in sq ft, sq m or acres and a cost.
Stair Calculator
Stair layout from the floor-to-floor rise: risers and treads, exact riser height, total run, stringer length and angle, with the IRC limits flagged.
Standard Deviation
Standard deviation calculator for a list of numbers: population σ and sample s side by side, both variances, plus mean, median, minimum, maximum, range and sum.
System of Equations Solver
Solve 2 or 3 linear equations exactly, with Gauss-Jordan or Cramer’s rule steps and a graph of two lines. Says when there is no solution or infinitely many.
Tip Calculator
Tip calculator and bill splitter: enter the bill, the tip percentage and how many are splitting it to get the tip, the total and each share, to the cent.
Triangle Calculator
Enter any three sides or angles of a triangle, at least one a side. Solves SSS, SAS, ASA, AAS and both SSA triangles, with area, perimeter and heights.
Vector Magnitude 3D
Vector magnitude calculator for x, y and z: the length √(x² + y² + z²), the unit vector and the angle to each axis. (3, 4, 0) has magnitude 5.