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Math Tools

Math tools that compute the answers most often looked up in homework, lab notebooks, and back-of-envelope estimates: percentages, ratios, averages (arithmetic, geometric, harmonic) with the summary statistics that go with them, circle and triangle geometry, volumes for common solids, and fraction-decimal conversion with arbitrary repeating-decimal handling. The tools accept mixed input formats (fractions, decimals, percentages, mixed numbers) so you do not have to normalize before typing. Where multiple definitions exist (which mean to use, how to interpret a percentage change against a zero baseline), the tool surfaces the choice rather than guessing. The common misconception that creates the most wrong answers is confusing percentage-of with percentage-change; the Percentage Calculator separates them into distinct modes for that reason. A second is using the arithmetic mean on data that is multiplicative (interest rates, growth factors, returns), where the geometric mean is the right answer, which is why the Average Calculator returns all three means side by side. If you are new to the category, start with the Average Calculator for any dataset, the Percentage Calculator for any pricing or ratio work, and the Circle Calculator for any geometry homework involving radii and circumferences. The Fractions Decimals Calculator handles the conversions kids run into in middle school and the ones engineers run into in tolerances.

12 tools available

Average Calculator

Computes three means (arithmetic, geometric, harmonic) plus sum, count, median, smallest, largest, and range across a list of numbers.

437 views
v1.0.0

Circle Calculator

Solves for the remaining three of radius, diameter, circumference, and area from any one given, with optional step-by-step derivation.

405 views
v1.0.0

Fractions & Decimals Calculator

BigInt-backed rational arithmetic on fractions, mixed numbers, decimals, and repeating decimals with no floating-point drift.

525 views
v1.0.0

Integral Calculator

Definite and indefinite integrals computed symbolically via the power rule, linear substitution, and standard antiderivative tables.

45 views
v1.0.0

Mean, Median, Mode Calculator

Descriptive statistics from a numeric data set: three means (arithmetic, geometric, harmonic), median, mode, range, quartiles, IQR, plus a custom percentile (default...

416 views
v1.0.0

Percentage Calculator

Calculate percentages, percentage change, and comparisons between values to support math problems, financial decisions, and statistical insights.

403 views
v1.0.0

Probability Calculator

Computes P(A), complement P(A'), union P(A∪B), intersection P(A∩B), and conditional P(A|B) from sample-space size N and event counts k(A), k(B).

332 views
v1.0.0

Proportion Calculator

Solves A : B = C : D for any missing value by cross-multiplication (A × D = B × C), or...

381 views
v1.0.0

Roman Numeral Converter

Convert between Arabic numbers and Roman numerals with automatic detection of input type and bidirectional translation for values from 1 to 3999.

48 views
v1.0.0

Root Calculator

Calculate square roots, cube roots, and nth roots of numbers to support learning, scientific computation, and engineering problem solving.

364 views
v1.0.0

Volume Calculator

Computes the volume of 13 solids with a user-configurable π value (default 3.

378 views
v1.0.0

Z Score Calculator

Returns z = (x - mu) / sigma with four solve modes letting z, x, mu, or sigma serve as the unknown.

125 views
v1.0.0