Math & Algebra

Fraction Calculator

Add, subtract, multiply, and divide fractions and mixed numbers with step-by-step simplification.

Fraction to Decimal Converter

Convert proper, improper, and mixed fractions into accurate decimal values with rounding.

Decimal to Fraction Converter

Convert terminating or repeating decimals into reduced simplified fractions.

GCD / HCF Calculator

Find the Greatest Common Divisor (GCD) / Highest Common Factor (HCF) of two or more numbers using Euclidean algorithm.

LCM Calculator

Calculate the Least Common Multiple (LCM) of multiple integers with prime factor breakdown.

Prime Number Checker

Check whether a number is prime or composite, and list all its positive integer divisors.

Prime Factorization Calculator

Find the prime factors and exponential decomposition of any positive integer.

Quadratic Equation Solver

Solve quadratic equations of form ax² + bx + c = 0 with real and complex roots and discriminant steps.

Pythagorean Theorem Calculator

Calculate hypotenuse (c) or missing side (a or b) in a right-angled triangle using a² + b² = c².

Exponent / Power Calculator

Calculate base raised to any integer or fractional power (xʸ) with scientific notation.

Square Root Calculator

Compute principal square roots (√x) and check if a number is a perfect square.

Cube Root Calculator

Find the real cube root (∛x) of positive and negative numbers.

Logarithm Calculator (log, ln, log₂)

Compute common log (base 10), natural log (ln), binary log (base 2), and custom base log.

Factorial Calculator (n!)

Calculate exact factorial values of non-negative integers with step-by-step multiplication.

Permutation Calculator (nPr)

Compute the number of ordered permutations nPr = n! / (n - r)!.

Combination Calculator (nCr)

Compute unordered combinations nCr = n! / (r! * (n - r)!).

Ratio Calculator & Simplifier

Simplify ratios (A:B) or solve for an unknown value in proportional equations (A:B = C:D).

Circle Area & Perimeter Calculator

Calculate area (πr²), circumference (2πr), and diameter of a circle from radius or diameter.

Triangle Area Calculator

Calculate triangle area using base and height, or 3 sides via Heron's formula.

Cylinder Volume & Surface Area

Calculate volume (V = πr²h) and total surface area (A = 2πrh + 2πr²) of a cylinder.

Sphere Volume & Surface Area

Calculate volume (4/3 πr³) and surface area (4πr²) of a sphere given its radius.

Linear Equation Solver (ax + b = 0)

Solve single-variable linear equations of the form ax + b = 0 instantly.

Slope Calculator (m = Δy / Δx)

Calculate line slope, angle of inclination, and y-intercept from two coordinate points (x₁, y₁) and (x₂, y₂).

Distance Formula Calculator (2D & 3D)

Calculate Euclidean straight-line distance between two points in 2D Cartesian plane.