Math Calculator Hub

Free Math Calculators

Use focused math calculators for percentages, fractions, ratios, algebra, coordinate geometry, plane geometry, trigonometry, statistics, notation, and number theory. Each page starts with the calculator, then explains the formula, result meaning, and practical use cases below the fold.

Available Now

Live math calculators

Core Math

Percentage Calculator

Live

Calculate percent of a value, part as percent of total, percent change, and increase or decrease scenarios.

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Core Math

Fraction Calculator

Live

Simplify fractions and calculate addition, subtraction, multiplication, division, decimals, and percent forms.

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Core Math

Ratio Calculator

Live

Simplify ratios, calculate shares of a total, and scale an equivalent ratio from a target quantity.

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Algebra & Coordinate Geometry

Linear Equation Solver

Live

Solve ax + b = c equations, isolate x, and identify one-solution, identity, or no-solution cases.

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Algebra & Coordinate Geometry

Slope Calculator

Live

Calculate slope from two points with rise, run, y-intercept, point-slope form, and vertical-line handling.

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Algebra & Coordinate Geometry

Midpoint Calculator

Live

Find the midpoint between two coordinate points with x and y averages and ordered-pair output.

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Algebra & Coordinate Geometry

Distance Formula Calculator

Live

Calculate straight-line distance between two coordinate points with delta x, delta y, and squared distance.

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Geometry

Area Calculator

Live

Calculate rectangle, triangle, circle, and trapezoid area with formula-backed square-unit results.

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Geometry

Perimeter Calculator

Live

Calculate square, rectangle, triangle, and circle perimeter or circumference with unit-aware formulas.

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Geometry

Circle Calculator

Live

Calculate diameter, circumference, area, sector area, and arc length from radius and angle inputs.

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Geometry

Triangle Calculator

Live

Calculate triangle perimeter, semiperimeter, Heron area, base-height area, side validity, and side type.

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Trigonometry

Pythagorean Theorem Calculator

Live

Calculate hypotenuse, missing leg, squared terms, and right-triangle checks from side inputs.

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Trigonometry

Right Triangle Calculator

Live

Calculate hypotenuse, area, perimeter, acute angles, sine, cosine, and tangent from two legs.

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Trigonometry

Unit Circle Values Reference

Live

Review common degree, radian, sine, cosine, tangent, and coordinate values for unit circle study.

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Statistics

Mean Median Mode Calculator

Live

Calculate mean, median, mode, range, sum, minimum, maximum, and sorted values from a pasted dataset.

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Statistics

Standard Deviation Calculator

Live

Calculate sample and population standard deviation, variance, mean, and squared-deviation checks.

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Statistics

Percentile Calculator

Live

Calculate percentile values with nearest-rank and interpolated methods, sorted values, and rank checks.

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Statistics

Z Score Calculator

Live

Calculate z-score, distance from mean, and approximate normal percentile from value, mean, and standard deviation.

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Reference

Math Formula Library

Live

Review formulas for arithmetic, algebra, geometry, trigonometry, statistics, notation, and number theory.

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Notation & Number Theory

Scientific Notation Calculator

Live

Convert values into scientific notation, engineering notation, e notation, coefficient, and exponent form.

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Notation & Number Theory

Prime Factorization Calculator

Live

Find prime factors, exponent form, expanded factors, prime status, and positive divisor count.

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Notation & Number Theory

GCD and LCM Calculator

Live

Calculate greatest common divisor, least common multiple, and prime factor audit rows for integer lists.

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What Can You Solve?

Core math questions covered in this release

Percent formulas

Calculate percent of a number, percent change, part of total, and increase or decrease problems.

Fraction operations

Simplify fractions and compare addition, subtraction, multiplication, division, decimal, and percent forms.

Ratio scaling

Simplify ratios, find shares of a total, and scale equivalent ratios for recipes, maps, and classroom problems.

Algebra and lines

Solve linear equations, calculate slope, find midpoint, and measure coordinate distance from two-point inputs.

Geometry formulas

Calculate area, perimeter, circle measurements, and triangle values with unit-aware formula notes.

Statistics summaries

Calculate center, spread, percentile, and z-score values from datasets with sorted-value checks.

Notation and number theory

Convert scientific notation, factor integers, and calculate GCD or LCM from prime-factor checks.

Perfect For

Math tools for study, teaching, and everyday checks

Students

Check arithmetic steps while practicing homework problems without hiding the formula behind the answer.

Teachers

Create quick examples for percent, fraction, and ratio lessons with visible formulas and print-ready results.

Everyday math

Handle discounts, proportions, recipe scaling, grade calculations, and quick number comparisons.

How It Works

How it works in three quick steps.

1

Choose the math problem type

Open the calculator that matches the question: percent, fraction, ratio, equation, coordinate, geometry, trigonometry, or statistics.

2

Enter the known values

Add the values from the problem statement. Each calculator keeps the assumptions visible while results update.

3

Read the result with the formula

Use the answer, formula explanation, and copy or print controls to support homework, teaching, or practical planning.

Formula Support

Reusable formula explanations across math tools

  • Percent tools separate part, whole, change, and original value so the denominator is clear.
  • Fraction tools reduce results and show decimal or percent forms only after the exact operation is complete.
  • Coordinate tools keep deltas, averages, and squared-distance steps visible before final answers.
  • Geometry and trigonometry tools pair formulas with unit notes so users do not mix linear, square, and angle units.
  • Statistics tools show sorted values, sample and population spread, percentile method labels, and unitless z-scores.
  • Notation and number-theory tools connect powers of ten, prime factors, GCD, and LCM to formula-library references.
Formula Map

Common formulas used by the math calculator library

FamilyWorking formulaQuick check
Percentpart / whole x 100; change / original x 100$18 discount on $120 = 15%
Fractionsa/b +- c/d; a/b x c/d; (a/b) / (c/d)2/3 + 1/6 = 5/6
Coordinate geometrym = (y2 - y1) / (x2 - x1); M = ((x1+x2)/2, (y1+y2)/2)points (1,2), (5,10) give slope 2
Plane geometryA = pi r^2; C = 2 pi r; A triangle = bh/2circle radius 3 has area 9pi
Trigonometryradians = degrees x pi / 180; a^2 + b^2 = c^290 degrees = pi/2 radians
Statisticsmean = sum / n; s^2 = sum((x - xbar)^2) / (n - 1)2,4,4,6,9 has mean 5 and median 4
Number theoryn = p1^a x p2^b; abs(a x b) = GCD x LCM360 = 2^3 x 3^2 x 5
References

External references used for formula checks

About This Hub

Math calculators that keep formulas visible

Toolarithm's math calculator hub begins with core arithmetic workflows that appear across homework, classroom examples, small business checks, budgeting, shopping, recipes, and quick comparisons. The current release covers percentage, fraction, ratio, linear equation, slope, midpoint, distance formula, area, perimeter, circle, and triangle calculators because those topics support many later algebra, geometry, trigonometry, and statistics tools. The hub is organized by the question a user is trying to answer: how much, what fraction, what ratio, which coordinate, what area, what angle, or what missing side.

The goal is not to hide math behind a black-box answer. The calculators show useful results quickly, but they also keep the formula and symbol definitions visible so students can connect the output to the method. Percentage pages cover percent of a value, part of total, percent change, and increase or decrease problems. Fraction tools simplify inputs and calculate common operations. Ratio tools reduce quantities, show shares, and scale equivalent relationships. Algebra tools isolate variables, describe line slope, and measure coordinate segments. Statistics tools now add mean, median, mode, standard deviation, percentile, and z-score workflows. Day 12 adds a formula library, scientific notation, prime factorization, and GCD/LCM workflows. Future math releases will expand into probability, measurement conversion, and science math while keeping the same expectation: visible variables, worked formulas, and clear limits for each result.