Math Calculators — Percentage, Fraction & Algebra Tools

Scientific calculators, algebra, geometry, statistics and more math tools.

From percentages and fractions to statistics and number theory, these tools show every step of the working next to the result. Each calculator lists its formula and assumptions so you can check the arithmetic yourself, and most include boundary notes (zero, negatives, decimals) so edge cases behave the way the math says they should.

Methodology: Established algebraic and geometric identities and numerical methods, evaluated with the same order of operations used in textbooks.

Scientific Calculator

Advanced scientific calculator with safe evaluation

Quadratic Equation Solver

Solve ax²+bx+c=0 with steps

Percentage Calculator

Calculate percentages

Percentage Change

Calculate percentage increase/decrease

Fraction Calculator

Simplify and calculate fractions

Triangle Calculator

Calculate triangle area and perimeter

Circle Calculator

Calculate circle area and circumference

Statistics Calculator

Calculate mean, median, std dev

Combinations Calculator

Calculate nCr and nPr

LCM & GCD Calculator

Calculate LCM and GCD

Prime Factorization

Find prime factors

Matrix Determinant

Calculate 3x3 determinant

Logarithm Calculator

Calculate logarithms

Exponent Calculator

Calculate powers

Root Calculator

Calculate nth roots

Ratio Calculator

Simplify ratios

Average Calculator

Calculate average of numbers

Pythagorean Theorem

Calculate hypotenuse

Trigonometry Calculator

Calculate sin, cos, tan

Distance Formula

Distance between two points

Slope Calculator

Calculate slope between points

Modular Arithmetic

Calculate modulo operations

Complex Number Calculator

Operations on complex numbers

Scientific Notation Converter

Convert between decimal and scientific notation

Random Number Generator

Generate random numbers with various options

Cubic Equation Solver

Solve ax³+bx²+cx+d=0 numerically

Geometric Sequence

Find nth term and sum of a geometric progression

Arithmetic Sequence

Find nth term and sum of an arithmetic progression

Polar ↔ Rectangular

Convert between polar and rectangular coordinates

Binomial Probability

P(X=k) in n independent trials

Normal Distribution

CDF and PDF of the normal distribution

Taylor Series Approximation

Approximate functions with Taylor polynomials

Continued Fraction

Evaluate a simple continued fraction

System of Linear Equations

Solve 2×2 linear systems via Cramer rule

Eigenvalue Finder (2×2)

Find eigenvalues of a 2×2 matrix

Surface Area Calculator

Surface area of common 3D shapes

Complex Number Operations

Modulus, argument, and conjugate of a complex number

Mean Median Mode Calculator

Central tendency measures for a dataset

Variance & Standard Deviation

Population and sample variance and SD

Permutation Calculator

Calculate P(n,r) ordered arrangements

Binomial Expansion

Expand (a+b)ⁿ and show its terms

Golden Ratio Calculator

Golden ratio, Fibonacci numbers and Binet approximation

Luhn Algorithm / Checksum

Validate credit-card style numbers with the Luhn check

Run-Length Encoding

Compress repeated characters with run-length encoding

Sieve of Eratosthenes

Find all primes up to N

Fibonacci Sequence

Generate Fibonacci numbers up to n terms

Pascal's Triangle Row

Generate a row of Pascal triangle binomial coefficients

Frequently asked questions

What is the difference between percentage change and percentage points?

Percentage points measure the gap between two percentages directly — going from 4% to 6% is 2 percentage points. Percentage change measures that gap relative to the starting value — the same move is a 50% increase. Mixing the two up is one of the most common reporting errors.

Why does my calculator give a different answer to my spreadsheet?

Almost always order of operations or rounding. Multiplication and division are evaluated before addition and subtraction, so an expression written without brackets can be read two ways. This calculator shows the intermediate steps, which makes it obvious which reading was used.

When should I use standard deviation instead of range?

Range is easy to read but is driven entirely by the two most extreme values. Standard deviation uses every value, so it describes the spread more faithfully — especially when one outlier would otherwise dominate. Range is still the clearer choice when you only have a handful of readings.

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About CalcProMaster calculators

CalcProMaster is a free library of 1285 online calculators across 20 categories — finance, health, math, business, construction, engineering, conversion, education and more. Every calculator runs entirely in your browser: no sign-up, no paywall, and no data leaves your device.

What makes these calculators different is transparency. Each tool shows the exact formula it uses. It also shows a step-by-step breakdown of how your inputs become the result. That way you can check the math instead of trusting a black box. Every calculator page explains how to read the result. It also lists common mistakes, assumptions and limitations. An FAQ sits with every one, and the most-used tools add a worked example. Health and finance tools name the formula they follow. Calorie needs use Mifflin-St Jeor. Loans use standard amortization. Each page says plainly when an answer should be confirmed with a professional.

The guides library goes deeper on the calculations people search for most. It covers percentage and discount math, loan EMI and amortization, income-tax brackets, calorie and macro planning, and concrete volumes. Each guide gives the formula, worked examples and links to the matching calculator. The glossary defines the terminology in plain language. The public formula QA dashboard shows the verification status of every calculator's math.

Popular starting points: loan EMI calculator, BMI calculator, percentage calculator, random number generator, and concrete calculator. You can also browse a category above to find the tool you need.

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