Math Calculators

65 free calculators for percentages, fractions, algebra, geometry, statistics, and more. Step-by-step results, no sign-up.

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Basic Math
% Percentage CalculatorFind percent of a number, percentage change, and more ½ Fraction CalculatorAdd, subtract, multiply, and divide fractions 🔢 Decimal to FractionConvert any decimal to a simplified fraction ⚖️ Ratio CalculatorSimplify ratios and find equivalent ratios 🔗 Proportion CalculatorSolve for the missing value in a proportion 〰️ Rounding CalculatorRound to decimal places, significant figures, or nearest integer |x| Absolute Value CalculatorFind the absolute value of any number or expression 🎯 Significant Figures CalculatorRound to sig figs and count significant figures mod Modulo CalculatorFind the remainder after division (a mod b) 📊 Weighted Average CalculatorCalculate weighted mean from values and weights
Powers, Roots & Logarithms
xⁿ Exponent CalculatorRaise any base to any power, including fractions √ Square Root CalculatorExact and decimal square roots with simplification ∛ Cube Root CalculatorFind the cube root of any positive or negative number 🔬 Scientific Notation ConverterConvert between standard form and scientific notation ㏒ Log CalculatorBase-10 logarithm of any positive number ln Natural Log CalculatorNatural logarithm (base e) with step-by-step result
Algebra & Sequences
📐 Quadratic Formula CalculatorSolve ax² + bx + c = 0 and show discriminant ➕ Arithmetic Sequence CalculatorFind any term and sum of an arithmetic series ✖️ Geometric Sequence CalculatorFind any term and sum of a geometric series 🔢 Number Sequence CalculatorIdentify pattern and predict next terms in a sequence 🌀 Fibonacci CalculatorGenerate Fibonacci sequence up to any term number
Number Theory
🔏 Prime Number CheckerTest if a number is prime and list nearby primes 🔼 LCM CalculatorLeast common multiple of two or more numbers 🔽 GCF CalculatorGreatest common factor using prime factorization n! Factorial CalculatorCompute n! with step-by-step expansion 🌳 Prime Factorization CalculatorBreak any integer into its prime factors
Number Systems
01 Binary CalculatorConvert decimal to binary and perform binary arithmetic 0x Hex CalculatorConvert decimal to hexadecimal and hex arithmetic 🔀 Base ConverterConvert numbers between any bases from 2 to 36 Ⅻ Roman Numeral ConverterConvert between Roman numerals and Arabic numbers
Geometry — 2D
⬛ Area CalculatorArea of rectangle, triangle, circle, and other shapes ⬜ Perimeter CalculatorPerimeter of common shapes with formula shown ⭕ Circle CalculatorArea, circumference, diameter, and radius of a circle △ Pythagorean Theorem CalculatorFind the missing side of a right triangle 🔺 Triangle CalculatorArea, angles, and sides of any triangle
Geometry — 3D
📦 Volume CalculatorVolume of cube, box, pyramid, and more 3D shapes 🥫 Cylinder CalculatorVolume and surface area of a cylinder 🔵 Sphere CalculatorVolume and surface area of a sphere 🍦 Cone CalculatorVolume and surface area of a cone
Probability & Combinatorics
🎲 Probability CalculatorSingle and compound event probability 🃏 Combination CalculatorC(n,r) — number of ways to choose r from n (no order) 🔄 Permutation CalculatorP(n,r) — ordered arrangements of r items from n
Vectors & Matrices
🔲 Matrix CalculatorAdd, subtract, multiply 2×2 and 3×3 matrices ➡️ Vector CalculatorMagnitude, unit vector, and vector addition · Dot Product CalculatorDot product and angle between two vectors ✖️ Cross Product Calculator3D cross product of two vectors with magnitude
Statistics
📊 Mean Median Mode CalculatorAll three measures of central tendency at once x̄ Average CalculatorSimple arithmetic mean of a list of numbers 📍 Median CalculatorMiddle value of an ordered data set 🔝 Mode CalculatorMost frequently occurring value(s) in a dataset σ Standard Deviation CalculatorPopulation and sample standard deviation with variance σ² Variance CalculatorPopulation and sample variance from a data set z Z-Score CalculatorStandardize a value and find its percentile rank 📏 Confidence Interval CalculatorCI for a population mean or proportion 🎯 Sample Size CalculatorMinimum sample needed for a given confidence level 📦 Interquartile Range CalculatorIQR, quartiles, and box plot values ± Margin of Error CalculatorSurvey margin of error at any confidence level 🌿 Geometric Mean CalculatorMultiplicative average for rates and ratios 🎵 Harmonic Mean CalculatorReciprocal mean for rates and speeds
Advanced Statistics
r Correlation Coefficient CalculatorPearson r — strength and direction of linear correlation 📈 Linear Regression CalculatorSlope, intercept, and R² for a scatter plot χ² Chi-Square CalculatorChi-square statistic and p-value for goodness of fit t T-Test CalculatorOne-sample and two-sample t-test with p-value p P-Value CalculatorFind p-value from z-score, t-score, or chi-square 🧠 Bayes' Theorem CalculatorPosterior probability from prior and likelihood

About These Math Calculators

Math calculations come up constantly — splitting a bill, figuring out a percentage discount, calculating room area before buying flooring, or solving an equation for school. Utilia's math suite covers basic arithmetic through advanced statistics, each tool showing the formula and step-by-step work so you understand the answer, not just the number.

The percentage calculator handles the three most common problems: finding what percent one number is of another, calculating a percentage of a value, and working backwards from a result. The fraction calculator lets you add, subtract, multiply, and divide fractions with automatic simplification. Geometry tools cover area and perimeter for 2D shapes and volume for 3D objects including spheres, cylinders, and cones.

Statistics tools include mean, median, mode, standard deviation, variance, z-scores, confidence intervals, and hypothesis tests — useful for students, researchers, and data analysts. The algebra section covers quadratic equations and sequence calculators for arithmetic and geometric series. Number theory tools handle primes, LCM, GCF, and factorials.

All tools run in the browser with instant results — no server round-trips, no sign-up required. Designed for students, teachers, engineers, and anyone who needs accurate answers with clear explanations.