Math Online Tools

Free online math calculators & solvers: percentage calculator, scientific trig/log evaluator, fraction reducer, average & standard deviation, ratio proportion solver, LCM/GCD, prime number checker, quadratic equation solver, algebra simplifier, exponents, and Nth roots.

Available Tools in Math (11)

  • Percentage Calculator

    Calculate what X% of Y is, what percent X is of Y, and percentage increase or decrease with step-by-step formulas and decimal multipliers.

  • Scientific Calculator

    Evaluate complex mathematical expressions with Degrees (DEG) and Radians (RAD) trigonometry, logarithms, roots, exponents, and factorials.

  • Fraction Calculator

    Add, subtract, multiply, and divide fractions with Euclidean GCD simplification to lowest terms, mixed numbers, decimals, and percentages.

  • Average Calculator

    Calculate arithmetic mean, median, mode, range, geometric mean, harmonic mean, and sample or population standard deviation for any dataset.

  • Ratio Calculator

    Simplify integer or decimal ratios (A:B) to lowest terms, solve unknown X in proportions (A:B = C:X), and calculate unit ratios and percentage shares.

  • LCM & GCD Calculator

    Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD / HCF) of two or more positive integers with exponential prime factorizations.

  • Prime Number Checker

    Test if an integer up to 10¹² is prime, composite, or a multiplicative unit, list all positive divisors, find prime factorizations, and locate adjacent primes.

  • Quadratic Equation Solver

    Solve quadratic equations ax² + bx + c = 0 for real or complex conjugate roots, discriminant (Δ = b² - 4ac), Vieta sum/product, and parabola vertex (h, k).

  • Simplify Algebra Calculator

    Simplify algebraic expressions and polynomials, expand single-level distributive parentheses, combine like terms, and evaluate at given (x, y) values.

  • Exponent & Power Calculator

    Calculate any base raised to positive, negative, zero, or fractional exponents (b^e) with scientific notation, reciprocals (b⁻ᵉ), and natural logarithms.

  • Square Root Calculator

    Find principal square roots (√x), cube roots (∛x), and Nth roots (ⁿ√x) with exact simplified radical form (aⁿ√b) and perfect root verification.

Frequently Asked Questions About Math Calculators & Equation Solvers

What calculators are included in the EverySolve Math category?

The EverySolve Math category features 11 browser-based mathematical calculators and solvers: Percentage Calculator, Scientific Calculator, Fraction Calculator, Average & Statistics Calculator, Ratio & Proportion Calculator, LCM & GCD Calculator, Prime Number Checker, Quadratic Equation Solver, Simplify Algebra Calculator, Exponent & Power Calculator, and Square Root & Nth Radical Calculator.

How does the Scientific Calculator evaluate expressions safely without eval()?

Our Scientific Calculator uses a deterministic recursive-descent mathematical parser written in TypeScript rather than JavaScript eval() or Function(). It enforces standard algebraic operator precedence (parentheses, functions, factorials, right-associative exponents, multiplication/division/modulo, addition/subtraction), supports implicit multiplication (like 2pi or 3(4+5)), and toggles cleanly between Degrees (DEG) and Radians (RAD).

How do the Fraction, Ratio, and LCM/GCD calculators avoid floating-point rounding drift?

Floating-point decimals can introduce binary representation artifacts. Our Fraction and Ratio calculators scale decimal inputs by powers of 10 into exact integers before applying the Euclidean Greatest Common Divisor (GCD) algorithm, and our LCM & GCD Calculator uses 64-bit arbitrary-precision BigInt arithmetic to prevent overflow.

What is the difference between Sample Standard Deviation (s) and Population Standard Deviation (σ) in the Average Calculator?

Sample Standard Deviation (s) divides the sum of squared deviations from the mean by N − 1 (Bessel's correction) to provide an unbiased estimate of variance from a sample dataset. Population Standard Deviation (σ) divides by N when your dataset includes every member of the population. Our Average Calculator displays both metrics side by side alongside Mean, Median, Mode, Range, Geometric Mean, and Harmonic Mean.

Does the Quadratic Equation Solver support complex (imaginary) roots and zero coefficients?

Yes. When the discriminant Δ = b² − 4ac is negative, the solver computes the exact real and imaginary components (−b/(2a) ± i√|Δ|/|2a|). It also supports zero linear or constant coefficients (b = 0 or c = 0), outputs Vieta's sum and product of roots, and calculates the parabola vertex (h, k) and axis of symmetry.

Why does the Prime Number Checker classify 1 as 'Neither Prime Nor Composite'?

By the Fundamental Theorem of Arithmetic, a prime number is an integer strictly greater than 1 with exactly two distinct positive divisors (1 and itself). The number 1 has only one positive divisor (1) and is classified as the multiplicative unit so that prime factorizations of all integers > 1 remain unique.

Can the Square Root Calculator simplify radicals and compute odd roots of negative numbers?

Yes. For any integer root index N ≥ 2, the calculator extracts the largest perfect N-th power factor to express the result in simplified radical form (aⁿ√b, such as √72 = 6√2 or ∛54 = 3∛2). It also computes real odd roots of negative numbers (such as ∛−27 = −3) while explaining complex principal roots for even roots of negative numbers.

Are my mathematical inputs and datasets kept private?

Yes. All 11 Math calculators execute 100% client-side in your browser's JavaScript engine. No equations, statistical datasets, or calculation results are transmitted to or stored on external servers.

Related EverySolve Categories

← Back to All Tools Directory