Mathematics

Percentages, equations, fractions, combinatorics and other math calculations for school and work. From basic percents to equations in one place.

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Percentage Change

Calculate increase or decrease as ((new − original) / original) × 100 for prices, wages, or metrics.

What Percent is X of Y

Convert a share to percent with (X / Y) × 100 for grades, test scores, costs, or budgets.

Increase and Decrease by Percent

Adds or subtracts a given percent from a base value: new = base × (1 ± p/100).

Rule of Three

Solves direct proportion: finds unknown x from a : b = c : x.

Ratio Calculator

Simplifies and computes the ratio of two numbers and scales them to a common measure.

Fractions

Adds, subtracts, multiplies, and divides fractions and converts them to decimals.

Powers

Computes powers by raising a base to an exponent: aⁿ.

Roots

Calculates roots of a given order from a number, including square and cube roots.

Logarithms

Calculates natural ln and base-10 logarithms and solves bˣ = y.

Scientific Notation

Converts numbers between standard and scientific form a × 10ⁿ.

GCD, Greatest Common Divisor

Finds the greatest common divisor of two integers using Euclid's algorithm.

LCM, Least Common Multiple

Calculates the least common multiple: |a×b| / GCD(a,b).

Prime Number

Checks whether a number is prime and finds nearby primes.

Prime Factorization

Factors an integer into a product of prime powers.

Factorial

Computes n! as the product of all positive integers from 1 to n.

Permutations

Counts arrangements of n items: n! or n!/(n-k)! when choosing k items.

Combinations

Counts combinations C(n,k) = n! / (k!(n-k)!) regardless of order.

Binomial Coefficient

Calculates the binomial coefficient (n choose k) for combinatorics.

Linear Equation

Solves a linear equation ax + b = 0 and returns root x = -b/a.

Quadratic Equation

Solves ax² + bx + c = 0 using discriminant D = b² - 4ac.

System of Two Equations

Solves a system of two linear equations in two unknowns by substitution or elimination.