Math calculators
Free tools for percentages, fractions, statistics, equations, and more. Instant answers with step-by-step formulas — no signup needed.
Everyday math
📊Percentage Popular
Calculate percent of a number, percentage increase/decrease, and percentage difference between two values.
➗Fraction
Add, subtract, multiply, divide fractions. Simplify to lowest terms and convert to decimals.
⏫Exponent
Calculate powers (xn), roots, and scientific notation. Works with decimals and negative exponents.
🧮Scientific
Full scientific calculator with trig, logarithms, powers, roots, constants, and memory functions.
🔢Big number New
Arbitrary-precision arithmetic on integers and decimals with hundreds of digits. Add, subtract, multiply, divide, modulo and exponentiate without rounding.
🔡Numbers to words New
Spell numbers in English. Plain words, currency reading (USD, INR, EUR…), or US check-writing format with letter-case options.
Long-form arithmetic
➕Long addition New
Column addition with carries marked above each column. Add as many numbers as you like — integers or decimals.
➖Long subtraction New
Subtract with regrouping (borrowing) shown above each column. Handles borrow chains across zeros.
✖️Long multiplication New
Step-by-step partial-product paper layout, shifted one place per digit of the bottom number, then summed.
➗Long division New
Quotient and remainder with the full bring-down working — partial products, subtractions, and final remainder.
➗Long division (decimals) New
Continue past the decimal point to any number of places. Detects repeating decimals and marks the period.
Fractions & mixed numbers
⚖️Equivalent fractions New
Find equivalent fractions, the simplest form (lowest terms), decimal value and percentage — all in one shot.
🔢Mixed numbers New
Add, subtract, multiply and divide mixed numbers, fractions, integers, and improper fractions. Full working shown.
🔢Mixed → improper New
Convert any mixed number to an improper fraction with the multiplication step shown.
🔢Mixed → decimal New
Convert mixed numbers to decimals. Repeating-decimal detection with the period marked.
🔢Mixed → percent New
Convert any mixed number to a percentage with each step (mixed → improper → decimal → percent) shown.
Number theory
🧩Factoring New
List all factors and the prime factorisation of any integer, or factor a quadratic ax² + bx + c into binomials.
🧮Prime factorisation New
Decompose any positive integer into prime factors. Factor tree, exponent form, divisor count.
🔢Common factors New
Find every common factor of two or more numbers. Greatest common factor highlighted; per-number factor lists shown.
🔢GCF (HCF) New
Greatest common factor of two or more numbers via listing-factors and prime-factorisation methods.
📐GCF — Euclid's algorithm New
Step-by-step Euclidean algorithm trace plus the extended Bézout coefficients
x, y.✖️Multiples New
List the first 100 multiples of any number. Optional minimum value to skip multiples below a threshold.
➗Modulo New
Compute a mod b for integers, decimals and negatives. Shows truncated, floored and Euclidean conventions.
Rounding
🔄Rounding numbers New
Round any number to a chosen place — decimal places, ones, tens, hundreds — with the method of your choice.
🔄Rounding methods compared New
Same number, eight methods side-by-side: half up, half even (banker's), half away from zero, ceiling, floor, truncate.
🔄Round to nearest multiple New
Round to the nearest 5, 25, 0.05 — or any multiple. Three modes: nearest, up only, down only.
Real-world math
Algebra
📐Quadratic equation
Solve ax² + bx + c = 0. See both roots, discriminant, and the vertex of the parabola.
📈Linear equations New
Single linear equation, 2×2 and 3×3 systems. Cramer's rule with steps and unique / no / infinite solution check.
∑Polynomial New
Add, multiply, evaluate at a point, differentiate, integrate, and find real roots numerically. Coefficients in highest-degree-first order.
⊞Matrix determinant New
Determinant of 2×2, 3×3 or 4×4 matrices via cofactor expansion. Shows the working for 2×2 and 3×3.
🟦Completing the square New
Convert ax² + bx + c into vertex form a(x − h)² + k. Step-by-step working, vertex (h, k), real roots and a parabola plot.
🔢Complex numbers New
Add, subtract, multiply and divide complex numbers. Polar form, magnitude, argument, and an Argand-plane visualization.
🔢GCD & LCM
Find the greatest common divisor and least common multiple of two or more numbers.
Sequences & functions
➕Arithmetic progression New
nth term, sum of the first n terms, mean and full term list for any AP. Includes a line chart of term values.
✖️Geometric progression New
nth term, partial sum, infinite sum (when |r| < 1), and a chart with optional log scale for fast-growing series.
√Root & power New
Raise to a power, take any n-th root, and compute logarithms in any base (ln, log₁₀, log₂, custom). With curve plot.
🧠Universal solver New
Solve y = a · xⁿ for any one of the four variables given the other three. Power-law fitter with a curve preview.
Calculus
∂Derivative New
Numeric derivative of any function f(x) at a point using a 4th-order central-difference scheme. Shows f, f′, and f″.
∫Integral New
Definite integral ∫ab f(x) dx with adaptive Simpson's rule. Optional Riemann-sum comparison and convergence info.
📐Limits New
Numerically estimate limits of f(x) as x → a, including one-sided limits. Detects divergence and oscillation.
Statistics & probability
📉Standard deviation
Calculate mean, variance, standard deviation, and more for any data set. Population and sample modes.
🎲Probability
Calculate single event, multiple event, and conditional probability. Includes permutations and combinations.
🃏Permutation & Combination New
nPr, nCr and factorial(n) with full formulas. Handles large n via log-gamma to avoid overflow.
📊Probability distribution New
Binomial, Poisson and normal distributions — PMF/PDF, CDF, mean and variance for any parameters.
📑Z-table New
Convert a z-score to area under the standard normal curve, or back-solve a z-score from a probability. Both tails.
Number systems
💻Binary
Add, subtract, multiply, divide binary numbers and perform bitwise AND, OR, XOR, NOT operations.
🔢Hex
Hexadecimal arithmetic and logic. Results shown in hex, decimal, and binary side by side.
🔄Binary → Decimal
Convert binary to decimal with step-by-step position-value breakdown.
🔄Decimal → Binary
Convert decimal to binary using repeated division-by-2, with every step shown.
About math calculators
Every calculator here shows the formula used and works instantly as you type. They are built for students, teachers, professionals, and anyone who needs a quick, reliable math answer.
Which calculator should I use?
- Shopping discounts? Percentage calculator handles % of, increase, and decrease.
- Homework help? Fractions, quadratic equations, or the scientific calculator.
- Data analysis? Standard deviation for statistics and probability for likelihood.
Common questions
Are these suitable for school/college exams?
These calculators are great for checking your work and understanding formulas. Most exams don't allow calculators, but using these to practise and verify answers is the best way to learn.
Do you show the working steps?
Each calculator shows the formula used and key intermediate values. For step-by-step solutions, we recommend pairing these with your textbook.
Can I use these on my phone?
Yes. All calculators are mobile-responsive and work on any device with a browser.