Math Calculators — Percentage, Fractions, Algebra & Statistics

Free math calculators with step-by-step solutions — calculate percentages, add and subtract fractions, find GCD and LCM, solve quadratic equations, compute exponents and factorials, calculate averages and standard deviations, and perform long division. Every tool shows the formula, explains the method, and walks you through worked examples.

All Math Calculators

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Percentage Calculator

Calculate percentages instantly — find X% of Y, what % one number is of another, percentage change, increase, decrease, and difference between two values.

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Percentage Decrease Calculator

Calculate the percentage decrease between two values instantly. See the percent decrease formula, step-by-step solution, and the absolute difference.

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Numbers to Words Converter

Convert any number to words in English. Supports integers, decimals, negative numbers, USD currency for check writing, and ordinal numbers (1st, 2nd, 3rd).

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Roman Numeral Converter

Convert numbers to Roman numerals and Roman numerals to numbers. Supports 1–3,999,999 with overline notation, date conversion, arithmetic, and a searchable reference chart.

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Percent Error Calculator

Calculate percent error between experimental and theoretical values. Solve for percent error, experimental value, or theoretical value with step-by-step work and batch comparison.

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Cube Root Calculator

Calculate cube roots and nth roots with step-by-step prime factorization. Supports positive and negative numbers. Includes a searchable perfect cubes chart from 1³ to 50³.

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Significant Figures Calculator

Count significant figures, round to sig figs, and perform arithmetic with proper sig fig rules. Supports scientific notation and e-notation with digit-by-digit analysis.

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Midpoint Calculator

Calculate the midpoint between two points, find the distance, or solve for a missing endpoint. Step-by-step work shown with the midpoint formula and distance formula.

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Fraction Calculator

Add, subtract, multiply, and divide fractions and mixed numbers. See step-by-step solutions with LCD calculation, simplification, and decimal conversion.

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GCD Calculator — Greatest Common Divisor

Find the Greatest Common Divisor (GCD) of two or more numbers using the Euclidean algorithm. See step-by-step solution, prime factorization, and all common factors.

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LCM Calculator — Least Common Multiple

Find the Least Common Multiple (LCM) of two or more numbers. See step-by-step calculation using prime factorization and the GCD method.

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Quadratic Equation Solver

Solve any quadratic equation ax² + bx + c = 0 using the quadratic formula. See discriminant, real and complex roots, vertex, and step-by-step solution.

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Exponent Calculator

Calculate any base raised to any power — including negative, fractional, and zero exponents. See the exponent laws and step-by-step explanation.

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Factorial Calculator

Calculate n! (n factorial) for any non-negative integer. See the full expansion, digit count, and applications in permutations and combinations.

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Average Calculator — Mean, Median, Mode

Calculate the mean, median, mode, range, and sum of any set of numbers. Paste or type your data and get instant descriptive statistics.

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Standard Deviation Calculator

Calculate population and sample standard deviation, variance, mean, and more from any dataset. See step-by-step calculation with formulas explained.

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Long Division Calculator

Perform long division with step-by-step working. See quotient, remainder, decimal result, and each division step explained clearly.

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Fraction to Ratio Calculator

Convert any fraction or mixed number to a ratio. See the step-by-step conversion process including simplification and ratio notation.

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Comparing Fractions Calculator

Compare two or more fractions to find which is greater, less, or equal. See step-by-step comparison using decimal conversion and common denominator methods.

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Fraction to Mixed Number Calculator

Convert an improper fraction to a mixed number or a mixed number back to an improper fraction. See the step-by-step conversion with long division.

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Decimal to Fraction Calculator

Convert any decimal number to a fraction in simplest form. See the step-by-step conversion process with GCD reduction and mixed number form.

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Inch Fraction Calculator

Convert decimal inches to inch fractions (1/16, 1/32, 1/64) and inch fractions to decimal. Also converts to metric (mm, cm). See step-by-step rounding.

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Equivalent Fractions Calculator

Find equivalent fractions for any fraction. See the simplified form and a list of equivalent fractions generated by multiplying the numerator and denominator.

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LCD Calculator (Least Common Denominator)

Find the least common denominator (LCD) for two or more fractions. See step-by-step solutions using prime factorization and the listing method.

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Mixed Number Calculator

Add, subtract, multiply, or divide mixed numbers and fractions. See the step-by-step solution with conversion, LCD, and simplification.

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Fraction Simplifier

Simplify any fraction to its lowest terms. Reduce proper, improper, and negative fractions using GCD division with step-by-step work shown.

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Mixed Number to Improper Fraction Calculator

Convert a mixed number to an improper fraction. See the step-by-step conversion with formula, simplification, and decimal equivalent.

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Solve for Unknown Fraction Calculator

Solve for x in a proportion with fractions using cross-multiplication. Find the unknown numerator or denominator with step-by-step work.

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Fraction to Percent Calculator

Convert any fraction or mixed number to a percentage. See the step-by-step division and multiplication with a conversion chart.

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➕

Adding Fractions Calculator

Add fractions with different denominators, including mixed numbers. See step-by-step LCD conversion, addition, and simplification with the result as a fraction, mixed number, and decimal.

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Subtracting Fractions Calculator

Subtract fractions with different denominators. See the step-by-step LCD conversion, subtraction, and simplification with the result as a fraction and decimal.

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Angle Converter

Convert angles between degrees, radians, gradians, arcminutes, arcseconds, milliradians, revolutions, and mils. See step-by-step conversion formulas and a full conversion table.

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Parallelogram Area Calculator

Calculate the area of a parallelogram using base & height, two sides & angle, or diagonals & angle. See step-by-step formulas with sine calculations.

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Arc Length Calculator

Calculate arc length, chord length, sector area, and central angle of a circle sector. Supports radius & angle, radius & chord, angle & chord, and sector area & angle methods.

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Pentagon Calculator

Calculate all properties of a regular pentagon: area, perimeter, diagonal, height, circumradius, and apothem from any known value. Step-by-step formulas included.

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Area Calculator

Calculate the area of 12 shapes: square, rectangle, triangle, circle, ellipse, trapezoid, parallelogram, rhombus, sector, ring, and regular polygon. Step-by-step formulas included.

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Perimeter Calculator

Find the perimeter of 10 shapes: square, rectangle, triangle, circle, ellipse, trapezoid, parallelogram, rhombus, sector, and regular polygon. Step-by-step formulas included.

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Circle Area Calculator

Calculate the area, circumference, diameter, and radius of a circle. Enter any one value — radius, diameter, circumference, or area — and get all circle properties with step-by-step formulas.

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Polygon Calculator

Calculate all properties of any regular polygon: area, perimeter, interior and exterior angles, circumradius, inradius (apothem), and number of diagonals. Enter the number of sides and any known value.

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💡 Why Use Online Math Calculators?

Mathematics is the foundation of science, engineering, finance, and everyday problem-solving. Our math calculators don't just give you the answer — they show you the formula, walk you through each step, and explain the underlying concept. This makes them equally useful for students learning the material and professionals who need quick, verified results.

Each calculator uses established mathematical methods — the Euclidean algorithm for GCD, the quadratic formula for second-degree equations, the standard formulas for mean, median, mode, and standard deviation. Results are computed instantly and displayed alongside the full working, so you can verify every step.

Start with the Percentage Calculator for everyday calculations, or try the Quadratic Equation Solver for algebra. The Average and Standard Deviation calculators are essential tools for statistics coursework and data analysis.