Mathematics Calculators

Math Calculators

18+ free mathematics calculators. Percentages, fractions, geometry, statistics and more. Evergreen tools that never need updating.

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Why Use Our Math Calculators

25 free math calculators that show every step, from percentages and fractions to triangles, logarithms and standard deviation. Each one handles the awkward cases (zero, negatives, huge numbers) and explains the answer instead of just printing it.

Our math tools are built for accuracy and speed. The percentage calculator handles all three common question types: what is X% of Y, X is what percent of Y, and percentage change between two values. The fraction calculator shows full step-by-step working, not just the answer, which makes it genuinely useful for students who need to understand the process.

For students, these tools work best alongside your own work, not instead of it. Use the square root calculator to check your manual calculations, the GPA calculator to track your academic progress, and the percentage calculator for everyday arithmetic that most people reach for a calculator to solve anyway.

All tools run in your browser with no data sent to our servers. Results are instant and accurate to standard mathematical conventions.

Which Calculator Answers Your Question

Your questionUse this
What is 15% of 80?Percentage Calculator
By what percent did it go up or down?Percentage Change Calculator
How do I add or divide fractions?Fraction Calculator
What is my GPA?GPA Calculator
How long is the third side of a right triangle?Pythagorean Theorem Calculator
What is the area of this room or shape?Area Calculator
What is the mean, median and mode?Average Calculator
How spread out is my data?Standard Deviation Calculator

Formula Cheat Sheet

TaskFormulaExample
Percent of a numberpart = percent ÷ 100 × whole15% of 80 = 12
Percentage change(new − old) ÷ |old| × 10050 to 65 = +30%
Average (mean)sum ÷ count(4 + 8 + 9) ÷ 3 = 7
Area of a circleπ × r²r = 3 gives 28.27
Pythagorean theorema² + b² = c²3, 4 gives 5
Slope of a line(y₂ − y₁) ÷ (x₂ − x₁)(1,2) to (3,8) = 3
Adding fractionsa/b + c/d = (ad + bc) ÷ bd1/2 + 1/3 = 5/6
Logarithmlogb(x) = ln(x) ÷ ln(b)log2(8) = 3

Sources. Standard formulas; every example above was computed and checked against the calculators on this site.

Math Questions

Common questions about percentages, fractions, geometry and statistics.

Formula: ((New, Old) / Old) × 100. Example: from 80 to 100 is ((100 to 80) / 80) × 100 = 25% increase. Use the Percentage Change Calculator for instant results with both increase and decrease.

Divide both numerator and denominator by their GCF. Example: 12/18, GCF is 6, so 12/6 = 2 and 18/6 = 3, giving 2/3. Use the Fraction Calculator which automatically simplifies all results.

Non-perfect squares have irrational square roots. √2 = 1.41421356, √3 = 1.73205080, √5 = 2.23606797: these decimals go on forever without repeating. Use the Square Root Calculator for any number, including cube roots and nth roots.

Area = π × radius². For radius 5: Area = 3.14159 × 25 = 78.54 square units. From diameter: Area = π × (diameter / 2)². Use the Area Calculator for circles, squares, rectangles and triangles.

In any right triangle: a² + b² = c², where c is the hypotenuse. To find hypotenuse: c = √(a² + b²). Legs of 3 and 4 give hypotenuse = √25 = 5. Use the Pythagorean Theorem Calculator to find any missing side.

I=1, V=5, X=10, L=50, C=100, D=500, M=1000. Subtract when a smaller numeral precedes a larger one: XIV = 10 + (5 to 1) = 14. MCMXCIX = 1000 + 900 + 90 + 9 = 1999. Use the Roman Numeral Converter for instant two-way conversion.

Steps: find the mean, subtract mean from each value and square it, average those squared differences (= variance), take the square root. Use population SD when you have all data; sample SD (divides by n to 1) for a subset. Use the Standard Deviation Calculator for any dataset.

The GCF is the largest number dividing evenly into two or more numbers. For 24 and 36: factors of 24 are 1,2,3,4,6,8,12,24; factors of 36 are 1,2,3,4,6,9,12,18,36; GCF = 12. Use the GCF Calculator for any set of numbers instantly.

Slope = rise / run = (y2, y1) / (x2, x1). For points (2, 3) and (6, 11): slope = (11 to 3) / (6 to 2) = 2. Positive slope goes up, negative goes down, zero is horizontal, undefined is vertical. Use the Slope Calculator with any two coordinate points.

Probability = favorable outcomes / total possible outcomes. Rolling a 3 on a six-sided die: 1/6 = 16.67%. Ranges from 0 (impossible) to 1 (certain). For independent events, multiply individual probabilities. Use the Probability Calculator for single and combined events.
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