Basic Math
Basic Calculator
A simple, fast online calculator for addition, subtraction, multiplication, division and percentages — with full keyboard support.
Order of operations: ( ) → × ÷ → + −
Also called simple calculator · online calculator
Math · 23 calculators
Everyday arithmetic tools: percentages, fractions, averages, roots, powers, rounding and remainders.
Basic Math
A simple, fast online calculator for addition, subtraction, multiplication, division and percentages — with full keyboard support.
Order of operations: ( ) → × ÷ → + −
Also called simple calculator · online calculator
Basic Math
Free online scientific calculator with trigonometry, logarithms, powers, roots, factorials, constants and degree/radian modes.
Functions: sin cos tan asin acos atan sin…
Also called online scientific calculator · trig calculator
Basic Math
Calculate percentages three ways: X% of Y, X is what percent of Y, and X is Y% of what number — with the formula and steps.
Part = Percent ÷ 100 × Whole
Also called percent calculator · what percent of
Basic Math
Add, subtract, multiply and divide fractions and mixed numbers. Get the simplified answer, mixed number and exact decimal.
a/b + c/d = (ad + bc)/bd
Also called fractions calculator · mixed fraction calculator
Basic Math
Simplify a ratio, scale it, or divide a total amount in a given ratio such as 2:3:5 — with each share shown.
Share = Total × (part ÷ sum of parts)
Also called ratio solver · divide in ratio
Basic Math
Solve proportions A/B = C/D for the missing value using cross-multiplication, with steps.
A/B = C/D ⇒ D = B × C ÷ A
Also called cross multiplication calculator · solve for x proportion
Basic Math
Find the average (arithmetic mean) of a list of numbers, plus the sum, count, minimum, maximum and range.
Average = (x₁ + x₂ + … + xₙ) ÷ n
Also called average of numbers · find the average
Basic Math
Calculate the arithmetic, geometric, harmonic and quadratic (RMS) mean of a data set in one place.
AM = Σx / n
Also called arithmetic mean · geometric mean calculator
Basic Math
Find the median (middle value) of any list of numbers, with the sorted data and step-by-step explanation.
Odd n: median = x₍₍ₙ₊₁₎/₂₎
Also called find the median · middle number
Basic Math
Find the mode — the most frequent value — of a data set, including multimodal data, with a full frequency table.
Mode = the value with the highest frequen…
Also called most frequent number · find the mode
Basic Math
Find the least common multiple (LCM) of two or more whole numbers, with prime factorisations and steps.
LCM(a, b) = |a × b| ÷ GCD(a, b)
Also called least common multiple · lowest common multiple
Basic Math
Find the greatest common divisor (GCD), also called the highest common factor (HCF) or GCF, with Euclidean algorithm steps.
Euclid: GCD(a, b) = GCD(b, a mod b), GCD(…
Also called hcf calculator · greatest common divisor
Basic Math
Check whether a number is prime instantly (up to 24 digits), see its smallest factor and the nearest primes.
A prime has exactly two divisors: 1 and i…
Also called is it prime · prime checker
Basic Math
Generate random numbers in any range — integers or decimals, with or without repeats — using a cryptographically secure source.
Also called rng · random number picker
Basic Math
Calculate powers and exponents (xⁿ), including negative and fractional exponents, with exact results for large whole-number powers.
xⁿ = x × x × … × x (n times)
Also called power calculator · x to the power of y
Basic Math
Find the square root of any number, check for perfect squares and simplify radicals like √72 = 6√2.
√x = y where y² = x
Also called sqrt calculator · root calculator
Basic Math
Calculate the cube root of positive or negative numbers, identify perfect cubes and simplify cube-root radicals.
∛x = y where y³ = x
Also called cbrt calculator · third root
Basic Math
Compute n! exactly for any whole number up to 5,000, with the number of digits and trailing zeros.
n! = n × (n − 1) × … × 2 × 1, and 0! = 1
Also called n factorial · factorial of a number
Basic Math
Calculate logarithms in base 10, base e (natural log, ln), base 2 or any custom base, with the change-of-base formula.
log_b(x) = ln(x) / ln(b)
Also called logarithm calculator · ln calculator
Basic Math
Find the absolute value |x| of any number or expression — its distance from zero on the number line.
|x| = x if x ≥ 0, −x if x < 0
Also called abs value · modulus of a number
Basic Math
Round numbers to decimal places, significant figures, or the nearest 10, 100 or 1,000 — half up, half even, up or down.
Round half up: look at the next digit — 5…
Also called round numbers · round to nearest
Basic Math
Divide two numbers and get the quotient and remainder (long division result), e.g. 17 ÷ 5 = 3 R 2.
Dividend = Divisor × Quotient + Remainder
Also called division with remainder · long division calculator
Basic Math
Calculate a mod n for positive and negative numbers using the mathematical (always non-negative) definition.
a mod n = a − n × ⌊a / n⌋
Also called mod calculator · modulus calculator
| Basic | Order of operations: ( ) → × ÷ → + − |
|---|---|
| Scientific | Functions: sin cos tan asin acos atan sinh cosh tanh ln log sqrt cbrt abs exp n! |
| Percentage | Part = Percent ÷ 100 × Whole · Percent = Part ÷ Whole × 100 |
| Fraction | a/b + c/d = (ad + bc)/bd · a/b × c/d = ac/bd · a/b ÷ c/d = ad/bc |
| Ratio | Share = Total × (part ÷ sum of parts) |
| Proportion | A/B = C/D ⇒ D = B × C ÷ A |
| Average | Average = (x₁ + x₂ + … + xₙ) ÷ n |
| Mean | AM = Σx / n · GM = (Πx)^(1/n) · HM = n / Σ(1/x) · RMS = √(Σx² / n) |
| Median | Odd n: median = x₍₍ₙ₊₁₎/₂₎ · Even n: median = (x₍ₙ/₂₎ + x₍ₙ/₂₊₁₎) / 2 |
| Mode | Mode = the value with the highest frequency |
Yes. Multiplication and division are done before addition and subtraction, and anything inside brackets is calculated first. 12 + 7 × 3 = 33, not 57.
Use degrees for everyday geometry (a right angle is 90°). Use radians for calculus and most physics formulas (a right angle is π/2).
Divide the percentage by 100 and multiply by the number. For example, 15% of 200 = 0.15 × 200 = 30.
Rewrite both fractions over a common denominator, add the numerators and simplify. 3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 5/12.
If A corresponds to B, then C corresponds to B × C ÷ A. It is the everyday name for solving a direct proportion, e.g. 3 apples cost $4, so 9 apples cost $12.