Mathematics Tools
Calculators that compute exactly — true fractions, arbitrary-precision integers, simplified radicals — and show their working step by step. No floating-point rounding, no "0.9999999999", and nothing you type leaves your browser.
- Fraction Calculator 1 1/2 + 3/4 = 9/4 = 2 1/4
- Decimal ⇄ Fraction Converter 0.625 = 5/8, and 0.1666… = 1/6 exactly
- GCD & LCM Calculator GCD(48, 180, 36) = 12 and LCM = 720
- Prime Factorizer & Prime Checker Is 1,000,000,007 prime? (Yes.) What is 360 as a product of primes? (2³ × 3² × 5.) Exact answers up to 19-digit numbers, plus divisor counts.
- Ratio Calculator If 3 : 4 = 9 : x, then x = 12
- Quadratic Equation Solver x² − 3x − 10 = 0 → x = 5 or x = −2, exactly
- Statistics Calculator Paste your numbers, get the full descriptive-statistics table: mean, median, mode, quartiles, IQR, and both flavors of variance and standard deviation
- Roman Numeral Converter 2026 = MMXXVI. Type in either box and the other updates
- Scientific Notation Converter 299,792,458 = 2.99792458 × 10⁸
- Permutations & Combinations Calculator How many 5-card poker hands? C(52, 5) = 2,598,960
- Long Division Calculator (with Steps) 7439 ÷ 12 = 619 r 11
- Radical Simplifier & Surd Calculator √180 = 6√5
- Modular Arithmetic Calculator 7¹²⁸ mod 13 in seven squarings, not 128 multiplications
- Slope & Line Equation Calculator Through (1, 2) and (4, 4): slope m = 2/3 exactly, y-intercept b = 4/3, and the line in all three forms
- Distance & Midpoint Calculator From (−2, 1) to (4, 5): distance = 2√13 exactly
- Binomial Expansion Calculator (2x − 3)⁴ = 16x⁴ − 96x³ + 216x² − 216x + 81
- Significant Figures Calculator 0.004560 has 4 significant figures
- Degrees ⇄ Radians Converter 45° = π/4
- Completing the Square Calculator 2x² − 4x + 5 = 2(x − 1)² + 3
- Synthetic & Polynomial Long Division (x³ − 6x² + 11x − 6) ÷ (x − 2) = x² − 4x + 3, remainder 0
- Percentile Calculator P40 of your data, three ways at once: linear interpolation (Excel's PERCENTILE.INC), nearest rank, and exclusive interpolation (PERCENTILE.EXC)
- Divisibility Rules Checker Is 123456 divisible by 8? By 11? Every rule from 2 to 13 applied with its working shown
- Weighted Average Calculator Three exam scores at 20%, 30% and 50% weight
- Exponent Calculator 2^100 = 1,267,650,600,228,229,401,496,703,205,376
- Circle Calculator (in Terms of π) r = 6 → area = 36π, circumference = 12π
- Triangle Area Calculator (Heron's Formula) Sides 3, 5, 6 → area = 2√14 exactly
- Triangle Solver (Law of Sines & Cosines) Enter any three values (with at least one side) and get the complete triangle
- Matrix Calculator Enter one or two matrices and compute the determinant, inverse, transpose, sum, difference or product
- Logarithm Calculator Find log base b of any value
- Arithmetic & Geometric Sequence Calculator Enter the first term, the common difference or ratio, and how many terms to get the nth term, the sum and the sequence itself.
- Vector Calculator (2D & 3D) Enter two 2D or 3D vectors to get their magnitudes, sum, difference, dot and cross products, and the angle between them.
Exact math, with the steps
Most calculators quietly round; these don't. Fractions are added and simplified exactly with the steps shown, repeating decimals convert back to exact fractions, primality uses Miller–Rabin, quadratics keep radical roots, and combinatorics and exponents run at BigInt scale, so 2¹⁰⁰ is digit-for-digit correct. Where a topic has a method — long division, synthetic division, completing the square — the working is laid out, not hidden.
That makes these useful for learning as well as answers, and it all runs in your browser: private, instant and offline. For applied number-crunching see Calculators, Statistics and Finance.
Frequently asked questions
What makes these different from other math calculator sites?
Exactness. These tools compute with arbitrary-precision integers and true rational arithmetic — fractions stay fractions, roots come out in simplified radical form like (3 + √89)/2, and 1000! is produced digit-perfect. Ordinary calculators (and spreadsheet formulas) work in floating point, which silently rounds past 15–17 significant digits and turns 1/3 + 2/3 into 0.9999999999999999.
Why not just ask an AI chatbot?
Language models are notoriously unreliable at arithmetic — they generate plausible-looking numbers rather than computing them, and you can't tell a right answer from a confident wrong one. These calculators run the actual algorithms (Euclid, Miller–Rabin, the quadratic formula) and show the working, so the answer is checkable, not just believable.
Do the tools show the steps?
Where steps are the point, yes — the fraction calculator shows the common-denominator working, the GCD calculator writes out the Euclidean algorithm line by line, and the quadratic solver walks from discriminant to simplified roots. The answer alone teaches nothing; the working is what you check homework against.
Do they work offline?
Yes — every computation runs in your browser with no server involved, so once a page has loaded it works with the connection off.