Clarity66 FREE TOOLS
Math, made clearer.
Work with percentages, fractions, equations, geometry and descriptive statistics.
Tools in this category
Fraction Calculator
Add, subtract, multiply or divide two fractions and simplify the exact result.
GCD and LCM Calculator
Find the greatest common divisor and least common multiple of two whole numbers.
Circle Area Calculator
Calculate circle area, circumference and diameter from its radius.
Quadratic Formula Calculator
Solve ax² + bx + c = 0 for real or complex roots.
Standard Deviation Calculator
Measure spread in a list of numbers using sample or population standard deviation.
Percentage Calculator
Calculate any percentage of a number, including decimals and negative values.
Percentage Change Calculator
Compare an original and new value to find the relative increase or decrease.
Average Calculator
Calculate the mean, median, sum and range of a list of numbers.
Significant Figures Calculator
Count significant figures under an explicit decimal convention and round a number to your chosen precision.
Decimal to Fraction Calculator
Convert a terminating decimal to an exact reduced fraction without floating-point rounding.
Compare Fractions Calculator
Compare two signed fractions exactly using reduced fractions and integer cross-products.
Improper Fraction to Mixed Number Calculator
Split an improper fraction into a signed whole-number part and a reduced fractional remainder.
Linear Equation Calculator
Solve ax + b = c, including identities and equations with no solution.
Linear Inequality Calculator
Solve ax + b < c, ≤ c, > c or ≥ c and reverse the inequality correctly for a negative coefficient.
Absolute Value Equation Calculator
Solve |ax + b| = c over the real numbers, including zero and degenerate cases.
Exponential Equation Calculator
Solve a positive-base equation b^x = y for its real exponent.
Nth Root Calculator
Find a real nth root, allowing negative radicands only for odd integer roots.
Polynomial Evaluation Calculator
Evaluate a polynomial at a chosen x using coefficients listed from highest power to constant.
Polynomial Derivative Calculator
Find derivative coefficients and evaluate the derivative at a selected x.
Polynomial Long Division Calculator
Divide one polynomial by another and return quotient and remainder coefficient lists.
Modular Exponentiation Calculator
Compute a large integer power modulo a positive integer without constructing the full power.
Modular Multiplicative Inverse Calculator
Find x such that a×x ≡ 1 modulo m, when the inverse exists.
Extended Euclidean Algorithm Calculator
Find integers x and y satisfying ax + by = gcd(a,b).
Chinese Remainder Theorem Calculator
Solve two integer congruences, including compatible congruences whose moduli share factors.
Prime Number Checker
Determine whether an integer is prime using exact divisibility tests within the supported range.
Prime Numbers in a Range
List all primes in a bounded inclusive interval for number-theory exercises.
Factors and Divisors Calculator
List positive divisors of an integer, with their count and sum.
Euler Totient Calculator
Count positive integers up to n that are relatively prime to n.
Fibonacci Number Calculator
Compute an exact Fibonacci number using F₀ = 0 and F₁ = 1.
Catalan Number Calculator
Calculate exact Catalan numbers for balanced parentheses and related counting problems.
Pascal Triangle Row Calculator
Generate exact binomial coefficients for a chosen zero-indexed row of Pascal’s triangle.
3D Vector Calculator
Find vector sums, differences, dot and cross products, magnitudes and the angle between two vectors.
Cartesian to Polar Coordinates Calculator
Convert a two-dimensional point into a radius and a quadrant-aware angle.
Cartesian to Spherical Coordinates Calculator
Convert a 3D point into radius, azimuth and polar angle with explicit angle conventions.
Matrix Calculator
Add, subtract and multiply matrices, or find a transpose, determinant or inverse in one workspace.
System of Linear Equations Calculator
Solve a square system A × x = b and check its numerical residual.
Complex Number Calculator
Add, subtract, multiply or divide complex numbers and inspect the result in rectangular and polar form.
Binary Calculator
Calculate with binary integers and see exact binary, decimal and hexadecimal results.
Ratio Simplifier
Reduce a two-part whole-number ratio and see each part’s share of the total.
Proportion Calculator
Solve for x in the positive proportion a/b = c/x.
Weighted Average Calculator
Find an average when observations have different weights.
Percent Error Calculator
Compare a measured value with a nonzero reference using absolute percentage error.
Z-Score Calculator
Express an observation as standard deviations above or below a known mean.
Factorial Calculator
Calculate the exact factorial of a whole number from zero to 500.
Combinations Calculator
Count unordered selections of k distinct items from n items without replacement.
Permutations Calculator
Count ordered arrangements of k distinct items chosen from n without replacement.
Exponent Calculator
Raise a base to a positive, negative or fractional exponent when the result is real and finite.
Logarithm Calculator
Find the logarithm of a positive value in a positive base other than one.
Pythagorean Theorem Calculator
Find a right triangle’s hypotenuse from its two perpendicular legs.
Triangle Area Calculator
Find triangle area from a base and its perpendicular height.
Rectangle Calculator
Find a rectangle’s area, perimeter and diagonal from length and width.
Trapezoid Area Calculator
Calculate area from two parallel bases and their perpendicular separation.
Sphere Calculator
Find sphere volume, surface area and diameter from its radius.
Prime Factorization Calculator
Break a positive whole number into its prime factors and show repeated factors as powers.
Rounding Calculator
Round a decimal to a chosen number of places, with nearest, upward or downward rounding.
Quotient and Remainder Calculator
Divide two nonnegative whole numbers and show an exact integer quotient and remainder.
Arithmetic Sequence Calculator
Find an arithmetic sequence’s nth term, finite sum and first terms from a fixed difference.
Geometric Sequence Calculator
Generate terms and a finite sum for a sequence with a constant multiplier.
Distance Between Two Points Calculator
Calculate straight-line distance, coordinate changes and the midpoint of two points in a plane.
Slope Calculator
Find rise, run, slope and the y-intercept of the line through two coordinate points.
Linear Interpolation Calculator
Estimate a y value between two known points and identify when a result is extrapolation.
Number Base Converter
Convert signed integers between bases 2 through 36 without losing large integer precision.
Scientific Notation Converter
Write a decimal or E-notation number in scientific notation with a chosen display precision.
Aspect Ratio Calculator
Simplify image dimensions into an exact ratio and calculate a matching height for a new width.
Pixel Density Calculator
Calculate pixels per inch, physical screen dimensions and pixel pitch from resolution and diagonal size.
Required Grade Calculator
Find the average score needed on remaining coursework to reach a target overall percentage.
Choosing a tool for math
Use Percentage for a part of a whole, Percentage Change for a comparison over time, and Average to summarize data. Each tool shows the calculation so you can check the result.