🧮 Math & Algebra

Math & Algebra Calculators

Free maths calculators for percentages, fractions, averages, quadratic equations, GPA, grades and more. Get instant answers with step-by-step breakdowns for students and professionals.

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What Are Math & Algebra Calculators?

Math and algebra calculators solve mathematical problems instantly — from everyday percentage calculations to algebraic equations. Whether you’re a student checking homework, a professional running quick numbers, or anyone who needs a reliable answer fast, these tools cover the essentials: percentages, fractions, averages, ratios, quadratics, scientific functions, and academic grading. Every calculator is free, runs in your browser, and shows results instantly.

Percentage Calculators

Percentages come up everywhere — discounts, tips, taxes, test scores, growth rates. The percentage calculator handles all three common forms: what is X% of Y, what percentage is X of Y, and X is Y% of what. The percentage increase calculator calculates the percentage change between two numbers — useful for tracking growth, price changes, or performance improvements over time. For financial percentages, also see the profit margin calculator and ROI calculator.

What is 15% of 200?
= 200 × (15 ÷ 100) = 30

Percentage increase from 80 to 100:
= ((100 − 80) ÷ 80) × 100 = 25%

What percentage is 45 of 180?
= (45 ÷ 180) × 100 = 25%

Fractions & Ratios

The fraction calculator adds, subtracts, multiplies, and divides fractions and mixed numbers, simplifying the result automatically. The ratio calculator solves proportions (if A:B = C:X, find X), scales recipes, and simplifies ratios to their lowest terms. Both are staples for students and anyone working with proportional quantities.

Averages & Statistics

The average calculator computes the mean, median, mode, and range of a set of numbers. These are fundamental statistical measures used in school, work, and data analysis. Enter your numbers and get all four results at once. For academic grade averaging, the GPA calculator and grade calculator apply weighted averaging specific to grading systems.

Geometry — Area, Perimeter, Circumference & Volume

Five dedicated geometry tools cover every common shape. The area calculator handles rectangles, circles, triangles, trapezoids, ellipses, parallelograms, and sectors — results in m², ft², cm², and in². The perimeter calculator finds the boundary length of rectangles, squares, circles, triangles, parallelograms, and trapezoids. The circumference calculator works from radius, diameter, or area, and also calculates arc length for any angle. The square footage calculator handles single rooms or whole houses with a built-in waste factor for flooring and tiling. The volume calculator covers 8 three-dimensional shapes — boxes, cylinders, spheres, cones, pyramids, capsules, and ellipsoids — with results in m³, litres, ft³, and US gallons.

Area of circle: A = π × r² Perimeter of rect: P = 2 × (length + width) Circumference: C = 2 × π × r Volume of cylinder: V = π × r² × height Square footage: Area = length (ft) × width (ft)

Scientific & Advanced Math

The scientific calculator handles trigonometric functions (sin, cos, tan), logarithms, exponents, square roots, factorials, and constants like π and e — everything you’d find on a physical scientific calculator, in your browser. The quadratic equation solver finds the roots of ax² + bx + c = 0, showing the discriminant, both solutions, and whether they’re real or complex. It follows the quadratic formula.

Quadratic formula:
x = (−b ± √(b² − 4ac)) ÷ 2a

Example: x² + 5x + 6 = 0
x = (−5 ± √(25 − 24)) ÷ 2
x = −2 or x = −3

Number Tools

The prime number checker instantly tells you whether a number is prime and shows its factors if it isn’t. The random number generator produces random integers within any range — useful for games, sampling, lotteries, and decision-making. The Roman numeral converter translates between standard numbers and Roman numerals (and back), handy for reading dates on buildings, movie credits, and outlines.

Academic Grading

The GPA calculator computes your grade point average from individual course grades and credit hours, supporting both 4.0 and weighted scales. The grade calculator tells you what score you need on a final exam to achieve your target grade, based on your current grade and the final’s weight. Both are essential tools for students tracking their academic performance.

💡 The GPA calculator supports cumulative GPA too — enter your existing cumulative GPA and credits alongside this semester’s courses to see how your overall GPA will change. It’s the fastest way to answer “what happens to my GPA if I get a B in this class?”

Related Tools

Math intersects with many other categories. The compound interest calculator applies exponential growth to money. The unit converter handles measurement conversions. The hex-to-decimal converter converts between number bases for programmers. And the number base converter handles binary, octal, decimal, and hexadecimal conversions.

Frequently Asked Questions

How do I calculate a percentage?

To find X% of a number, multiply the number by X and divide by 100. To find what percentage A is of B, divide A by B and multiply by 100. The percentage calculator handles all three forms instantly.

How do I calculate the area of a shape?

It depends on the shape. Rectangle: length × width. Circle: π × radius². Triangle: ½ × base × height. The area calculator supports 8 shapes and returns results in m², ft², cm², and in² simultaneously.

What is the difference between area and perimeter?

Perimeter is the distance around the outside of a shape, measured in linear units (m, ft). Area is the space inside, measured in square units (m², ft²). Use the perimeter calculator for boundary length and the area calculator for the space inside.

How do I solve a quadratic equation?

Use the quadratic formula: x = (−b ± √(b²−4ac)) / 2a. Enter coefficients a, b, and c into the quadratic solver and it gives you both roots, the discriminant, and whether the solutions are real or complex.

What’s a good GPA?

On a 4.0 scale, 3.0 (B average) is generally considered good, 3.5+ is very good, and 3.7+ is excellent. Requirements vary by institution and program. Use the GPA calculator to compute yours from individual course grades.

How do I add fractions?

Find a common denominator, convert both fractions, add the numerators, and simplify. For example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12. The fraction calculator does this automatically for addition, subtraction, multiplication, and division.

Is 1 a prime number?

No. By mathematical convention, 1 is not considered a prime number. Primes must be greater than 1 and divisible only by 1 and themselves. The smallest prime is 2. Check any number with the prime checker.

Are these calculators free?

Yes — completely free, no sign-up, unlimited use. They run in your browser on any device. No data is stored or shared.

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