Math Calculators

Exact arithmetic where it matters, with full worked steps: fractions, factors, long division, percent, primes, ratios, exponents, algebra and more.

124 calculators

Fractions Calculator

Fractions Calculator adds, subtracts, multiplies, and divides fractions with exact LCD arithmetic, mixed numbers, and complex fractions show

Decimal to Fraction Calculator

Decimal to Fraction Calculator converts terminating and repeating decimals to exact fractions using place value and the algebra method (0.33

Decimal to Percent Calculator

Decimal to Percent Calculator converts decimals to percents and percents to decimals, with fraction forms shown for the decimal/fraction/per

Integer Calculator

Integer Calculator adds, subtracts, multiplies, and divides integers with explicit sign rules and worked steps for negative-number arithmeti

Absolute Value Calculator

Absolute Value Calculator finds |x| as distance from zero and |a−b| as the gap between two points, with worked steps.

Cube Calculator

Cube Calculator computes x³ (number cubing, not 3D geometry), checks perfect cubes, and keeps negatives negative with a cubes table.

Cube Root Calculator

Cube Root Calculator finds ∛x with simplified radical form; real cube roots of negatives are allowed, unlike square roots.

Completing the Square Calculator

Completing the Square Calculator rewrites ax²+bx+c as a(x−h)²+k with every completion step, plus vertex and roots.

Cubic Equation Calculator

Cubic Equation Calculator solves ax³+bx²+cx+d=0 with Cardano’s depressed-cubic method, all three roots, and a Vieta check.

Algebra Word Problems Calculator

Algebra Word Problems Calculator solves simple linear coin and age word problems as two-equation systems with full worked solutions.

Combinations Calculator

Combinations Calculator computes nCr, nPr, and combinations with replacement using BigInt factorials, with factorial expansion shown.

Basic Calculator

Basic Calculator evaluates arithmetic expressions with PEMDAS order of operations — a clean four-function-plus hub companion.

Percentage Calculator

Percentage Calculator solves ten percent problem types, including P% of X, X out of Y, percent increase and percent decrease, and shows ever

Math Calculator

Math Calculator adds, subtracts, multiplies and divides decimals, negatives and E-notation values, then rounds the answer to any place from

Math Equation Solver

Math Equation Solver evaluates expressions using PEMDAS, BEDMAS, BODMAS and GEMDAS, handles nested brackets, exponents and roots, and prints

Money Math Calculator

Money Math Calculator adds, subtracts, multiplies and divides currency amounts in twelve currencies, keeps two-decimal precision and shows t

Modulo Calculator

Modulo Calculator returns a mod b for positive and negative integers, prints the quotient and remainder, and explains why the truncated and

Multiples Calculator

Multiples Calculator lists up to 100 multiples of any positive integer and can start the list above a minimum value you set, with copy and p

Multiplication Tables Practice

Multiplication Tables Practice quizzes times tables 1 through 12, checks a missing product or a missing multiple, tracks streaks and prints

Math Word Problem Solver

Math Word Problem Solver generates coin value and equal-division word problems, checks your answer and prints the full working so the method

Mixed Numbers Calculator

Mixed Numbers Calculator adds, subtracts, multiplies and divides mixed numbers, fractions and integers, reduces the answer and shows each co

Mixed Number to Decimal Calculator

Mixed Number to Decimal Calculator converts a mixed number or fraction to a decimal, rounds to between zero and six places, and shows both c

Mixed Number to Percent Calculator

Mixed Number to Percent Calculator turns a mixed number or fraction into a percentage in three steps, rounds to six places and prints the wo

Mixed Number to Improper Fraction Calculator

Mixed Number to Improper Fraction Calculator multiplies the denominator by the whole number, adds the numerator and writes the result over t

Number Word Notation to Standard Notation Calculator

Number Word Notation to Standard Notation Calculator converts phrases such as 2.75 million into 2,750,000 and into scientific notation as 2.

Multifactorial Calculator

Multifactorial Calculator computes factorial, double, triple, quadruple and quintuple factorials with exact BigInt arithmetic and prints the

Odd Permutations Calculator

Odd Permutations Calculator returns n! ÷ 2, the count of odd permutations of a set of n elements, for any integer n from 2 to 999 using exac

Pascal's Triangle Calculator

Pascal's Triangle Calculator generates any range of rows or returns a single entry at row n column k using n! ÷ (k! × (n − k)!), with the tr

Number Sequence Calculator

Number Sequence Calculator finds the nth term and the running sum of arithmetic, geometric and Fibonacci sequences, and lists every term up

Matrix Calculator

Matrix Calculator adds, subtracts and multiplies matrices up to 10×10, raises a square matrix to a power, and returns the transpose, determi

Ohm's Law Calculator

Ohm's Law Calculator takes any two of voltage, current, resistance and power and returns the other two using V = I × R and P = V × I, with u

One Rep Max Calculator

One Rep Max Calculator estimates your 1RM from a weight and rep count using the Epley, Brzycki and Lombardi formulas, and prints a percentag

Overweight Calculator

Overweight Calculator returns your BMI, the matching WHO category and the healthy weight range for your height in kilograms and pounds, with

Payback Period Calculator

Payback Period Calculator finds simple and discounted payback in years for fixed or irregular cash flows, and prints a year-by-year cumulati

Mutual Fund Calculator

Mutual Fund Calculator projects an ending balance from your contributions and return, subtracts front-end, deferred and annual fees, and rep

Mileage Calculator

Mileage Calculator returns driving distance in miles and kilometres plus estimated travel time between two US locations, with a fuel cost an

Exponent Calculator

Exponent Calculator raises a base to positive, negative, zero or fractional powers and shows the reciprocal, zero and root rules with steps.

Nth Root Calculator

Nth Root Calculator finds fourth, fifth and general roots, shows simplified radicals when possible, and notes when even roots of negatives a

FOIL Calculator

FOIL Calculator multiplies two binomials with First, Outer, Inner and Last products shown, then combines like terms.

Difference of Two Squares Calculator

Difference of Two Squares Calculator factors a squared minus b squared as (a+b)(a−b) and verifies the factors by FOIL.

Diamond Problem Calculator

Diamond Problem Calculator finds two numbers with a given product and sum by searching factor pairs, the skill that feeds quadratic factorin

Dot Product Calculator

Dot Product Calculator sums component-wise products of two vectors, reports magnitudes, and finds the angle between them.

Expanded Form Calculator

Expanded Form Calculator writes numbers as place-value sums, expanded notation, exponential form and word form.

Estimating Fractions Calculator

Estimating Fractions Calculator rounds fractions to 0, one half or 1, estimates sums, and shows the exact value beside the estimate.

Fraction to Percent Calculator

Fraction to Percent Calculator converts any fraction to a percentage and converts percentages back to fractions in lowest terms, with both s

Simplifying Fractions Calculator

Simplifying Fractions Calculator reduces any fraction to lowest terms using the GCF and converts improper fractions to mixed numbers, showin

Solve for X Fractions Calculator

Solve for X Fractions Calculator finds the unknown term in a proportion by cross multiplication, showing the rearrangement and a check of th

LCD Calculator

LCD Calculator finds the least common denominator of fractions, mixed numbers and integers, then rewrites every term as an equivalent fracti

GCF Calculator

GCF Calculator finds the greatest common factor of two or more whole numbers by factoring, prime factorization or Euclid's algorithm, with t

Euclid's Algorithm Calculator

Euclid's Algorithm Calculator finds the greatest common factor of two whole numbers by repeated division, printing every division step until

LCM Calculator

LCM Calculator finds the least common multiple of two or more numbers and shows the work by listing multiples, prime factorization, cake met

Long Addition Calculator

Long Addition Calculator adds whole numbers and decimals in columns, showing each place value, every carry, and the aligned working exactly

Long Division Calculator

Long Division Calculator divides whole numbers and shows the full bracket working, giving the quotient and remainder with every subtraction

Long Division with Decimals Calculator

Long Division with Decimals Calculator divides decimal numbers to a chosen number of places, shifts the decimal point for you, and shows the

Lattice Multiplication Calculator

Lattice Multiplication Calculator multiplies two numbers using the lattice grid, filling every cell and adding along the diagonals to produc

Log Calculator

Log Calculator solves the logarithm equation log base b of x equals y for whichever of the three values is left blank, and accepts e for the

Large Exponent Calculator

Large Exponent Calculator raises whole numbers to whole powers using exact integer arithmetic, returning every digit of results that overflo

Inverse Trigonometric Functions Calculator

Inverse Trigonometric Functions Calculator returns arcsin, arccos, arctan, arccot, arcsec and arccsc in degrees and radians, with the princi

Golden Ratio Calculator

Golden Ratio Calculator finds the two missing terms of the golden ratio from any one value, using phi = 1.6180339887, and returns two equiva

IRR Calculator

IRR Calculator finds the internal rate of return for regular or irregular cash flows, reports the NPV at that rate, and flags when a series

House Affordability Calculator

House Affordability Calculator estimates the house price you qualify for from income and debt, or from a fixed monthly budget, using convent

GDP Calculator

GDP Calculator computes gross domestic product by the expenditure approach or the resource cost-income approach, and shows each component's

Healthy Weight Calculator

Healthy Weight Calculator returns the weight range corresponding to a BMI of 18.5 to 25 for a given height, in kilograms and pounds, with th

Height Calculator

Height Calculator estimates a child's adult height from the mid-parental method, converts between feet, inches and centimetres, and states t

Horsepower Calculator

Horsepower Calculator computes power from force, distance and time, and converts between watts, mechanical, metric, electrical and boiler ho

Fuel Cost Calculator

Fuel Cost Calculator estimates the fuel cost of a trip from distance, fuel efficiency and fuel price, accepting miles or kilometres and mpg,

Golf Handicap Calculator

Golf Handicap Calculator computes a handicap index from score differentials under the World Handicap System and converts that index into a c

Percent Error Calculator

Percent Error Calculator finds |observed − true|/|true| × 100 for lab measurements, with absolute and relative error shown.

Percent Off Calculator

Percent Off Calculator finds sale price and amount saved from an original price and discount percent, and can reverse from two prices.

Prime Number Calculator

Prime Number Calculator checks primality by trial division to the square root, lists primes in a range, and shows a factor when a number is

Prime Factorization Calculator

Prime Factorization Calculator breaks a number into primes, shows a factor tree, and writes exponential form used for GCF and LCM.

Ratio Calculator

Ratio Calculator simplifies ratios with GCD, solves proportions, and lists equivalent ratios with worked steps.

Ratio to Fraction Calculator

Ratio to Fraction Calculator converts a:b to part-to-part and part-to-whole fractions so both readings stay visible.

Quadratic Formula Calculator

Quadratic Formula Calculator solves ax²+bx+c=0, labels the discriminant case, and simplifies radical or complex roots.

Radical Calculator

Radical Calculator simplifies square roots by factoring perfect powers and rationalizes simple radical denominators.

Place Value Calculator

Place Value Calculator names each digit's place for whole numbers and decimals and links to expanded form.

Rounding Calculator

Rounding Calculator rounds to decimal places, nearest multiple, or integer with half-up, half-even (banker's), and other half methods shown.

Significant Figures Calculator

Significant Figures Calculator counts sig figs with the zeros rules and rounds to n significant figures with worked digit highlighting.

Scientific Notation Calculator

Scientific Notation Calculator converts to and from scientific notation, engineering notation, and e-notation (UK standard form).

Square Calculator

Square Calculator computes x², checks perfect squares, and shows the multiply-by-itself steps for positive and negative bases.

Square Root Calculator

Square Root Calculator finds √x with simplified radical form, perfect-square checks, and decimal approximations.

Trigonometric Functions Calculator

Trigonometric Functions Calculator evaluates sin, cos, tan, cot, sec, and csc in degrees or radians with exact radical values for special an

Long Multiplication Calculator

Long Multiplication Calculator multiplies with the stacked algorithm, showing partial products and carries in a traditional layout.

Long Subtraction Calculator

Long Subtraction Calculator subtracts with column borrows and regrouping shown in a stacked layout with a text alternative.

Unit Rate Calculator

Unit Rate Calculator divides quantity by units to get a per-one rate and can compare two options for the better unit price.

Absolute Difference Calculator

Absolute Difference Calculator finds |a − b|, the distance between two numbers on the number line, with the sign removed and every step show

Algebra Word Problem 1 Calculator

Algebra Word Problem 1 Calculator sets up and solves a two-coin word problem as a linear system, with the substitution method shown step by

Algebra Word Problem 2 Calculator

Algebra Word Problem 2 Calculator sets up and solves a two-person age word problem, comparing current ages and ages after a stated number of

Combinations with Replacement Calculator

Combinations with Replacement Calculator counts C(n+r−1, r) selections when repeats are allowed and order does not matter, with the stars-an

Common Factor Calculator

Common Factor Calculator lists every factor two or more whole numbers share and identifies the greatest common factor, with the listing meth

Complex Fraction Calculator

Complex Fraction Calculator simplifies a fraction stacked over a fraction by multiplying by the reciprocal, with the full division-to-multip

Fraction to Decimal Calculator

Fraction to Decimal Calculator divides a numerator by a denominator and returns an exact terminating decimal or a repeating decimal with the

Math Word Problem 1 Calculator

Math Word Problem 1 Calculator generates a coin-jar word problem, checks a typed answer, and prints the cents-to-dollars working.

Math Word Problem 2 Calculator

Math Word Problem 2 Calculator generates an equal-division word problem, checks a typed answer, and shows the division that solves it.

Exponent Fractions Calculator

Exponent Fractions Calculator evaluates a base raised to a fractional exponent as a root then a power, and flags even roots of negative base

Exponent Solve Calculator

Exponent Solve Calculator finds x when base^x equals a given result, using logarithms, and checks the answer against the original equation.

Fibonacci Calculator

Fibonacci Calculator returns the nth Fibonacci number and lists every term up to it, built from the sum-of-two-before-it recurrence.

Fifth Roots Calculator

Fifth Roots Calculator finds the fifth root of a number exactly when it is a perfect fifth power and approximates it to 12 digits otherwise.

Fourth Roots Calculator

Fourth Roots Calculator finds the fourth root of a number, simplifies perfect fourth powers exactly, and blocks even roots of negative numbe

Percentage Change Calculator

Percentage Change Calculator finds the signed percent change between an original and a new value, positive for an increase and negative for

nPr Calculator

nPr Calculator computes P(n,r) = n! / (n−r)! for ordered selections without repeats, with the factorial expansion shown.

Percent Calculator

Percent Calculator solves for the part, the whole or the percent in P% of X = Y, with every problem type documented and worked.

Percent Change Calculator

Percent Change Calculator divides the change between two values by the original value and multiplies by 100, keeping the sign for increases

Percent Difference Calculator

Percent Difference Calculator expresses the gap between two values as a percent of the starting value, using the percent-change formula with

Percentage Change Word Problem 1 Calculator

Percentage Change Word Problem 1 Calculator applies the percent change formula to a real before-and-after scenario and shows every substitut

Percentage Decrease Calculator

Percentage Decrease Calculator finds the percent by which a value fell, or applies a known percent decrease to an original value to get the

Percentage Increase Calculator

Percentage Increase Calculator finds the percent by which a value grew, or applies a known percent increase to an original value to get the

Permutation and Combination Calculator

Permutation and Combination Calculator switches between nPr for ordered selections and nCr for unordered selections from the same n and r in

Permutation Calculator

Permutation Calculator computes P(n,r), the number of ordered arrangements of r objects chosen from n without repetition.

Permutations Calculator

Permutations Calculator computes P(n,r) for any n and r, lists small cases directly and shows the factorial expansion for larger ones.

Circular Permutations Calculator

Circular Permutations Calculator finds the number of ways to seat n objects around a circle using (n−1)!, computed here as P(n−1, n−1).

Permutations with Replacement Calculator

Permutations with Replacement Calculator counts ordered arrangements of r picks from n options when repeats are allowed, using nʳ.

Prime Factors Calculator

Prime Factors Calculator breaks a whole number into its prime factors, draws the factor tree, and writes the exponential prime factorization

Simplify Radicals Calculator

Simplify Radicals Calculator factors a square root into a perfect-square part and a leftover radicand, in the form a√b.

Ratio Simplifier Calculator

Ratio Simplifier Calculator divides every term of a ratio by their greatest common divisor and returns the ratio in lowest terms.

Root Calculator

Root Calculator finds the nth root of a number for any index, simplifying perfect powers exactly and approximating the rest to 12 digits.

Round to Nearest Multiple Calculator

Round to Nearest Multiple Calculator rounds a value to the closest multiple of any step size, dividing, rounding and multiplying back with t

Rounding Calculator

Rounding Calculator rounds a number to decimal places, the nearest integer or a chosen multiple, with half-up, half-even and other tie-break

Rounding Methods Calculator

Rounding Methods Calculator compares half-up, half-even (banker's), half-down, floor, ceiling and truncation on the same value.

Significant Figures Counter

Significant Figures Counter applies the leading, sandwiched and trailing zero rules to count how many digits in a number are significant.

Significant Figures Rounding Calculator

Significant Figures Rounding Calculator rounds a value to a chosen number of significant figures and lists which original digits counted.

Simplifying Complex Fractions Calculator

Simplifying Complex Fractions Calculator rewrites a fraction of fractions as a single division, multiplies by the reciprocal and reduces the

Standard Form Calculator

Standard Form Calculator writes a number as a × 10ⁿ with 1 ≤ a < 10, matching UK standard form and US scientific notation conventions.

Trigonometric Functions Pi Calculator

Trigonometric Functions Pi Calculator evaluates sin, cos, tan, cot, sec and csc for angles entered as multiples of π, with exact special-ang

Math Calculators on QuickCalculators gather tools for day-to-day arithmetic, fraction work, GCF and LCM, long-form arithmetic grids, percent problems, primes and ratios, logs and large exponents, inverse trig, rounding and significant figures, scientific notation, squares and square roots, trigonometric functions, finance (IRR, affordability, GDP), body measurements, power and fuel cost, golf handicap, sequences, algebra, matrices, and travel helpers. Each route runs a dedicated engine. Content beside the form states limits such as decimal truncation on long division, floored modulo on negative inputs, or straight-line mileage when road routing is not configured.

Set 1 anchors the hub with a fractions calculator (add, subtract, multiply, divide, mixed numbers, complex fractions), decimal-fraction and decimal-percent conversions, integer sign rules, absolute value and absolute difference, GCF, cube and cube root, completing the square, cubic equations, algebra word problems, combinations (nCr, nPr, with replacement), and a basic calculator. Core arithmetic pages also cover expression solving, modulo, multiples, multifactorials, odd permutations, and number-word notation. Later fraction pages convert to percent, simplify with signed mixed numbers, solve proportions for x, and find the LCD. Factor pages compute GCF and LCM and walk Euclid step tables. Long-form pages show column addition, long multiplication, long subtraction, long division (including truncate versus round), and lattice multiplication. Percent tools cover part-whole questions plus percent-error and percent-off. Prime and ratio clusters check primality, factorize with a factor tree, convert ratios to fractions, and compute unit rates. Precision pages cover rounding methods (including banker's), significant figures, and scientific notation. Exponent, log, radical, square, square-root, place-value, and golden-ratio pages share root and power ideas. Trig pages cover the six trigonometric functions and inverse trig. Algebra pages cover FOIL, difference of squares, diamond problems, and the quadratic formula.

Money and finance pages project mutual fund balances, payback schedules, IRR for irregular cash flows, house affordability under DTI rules, and GDP by expenditure or income. Health routes report BMI categories, healthy weight ranges from height alone, and mid-parental height prediction with a stated error band. Physics and travel cover Ohm's law, horsepower unit conversion, fuel cost with mpg versus L/100 km, and mileage between US cities.

Open the calculator whose title matches the quantity to solve, then follow related links for neighboring conversions or formula variants without repeating the same worked example on every page.

Closing summary

Math Calculators on QuickCalculators gather tools for day-to-day arithmetic, fraction work, GCF and LCM, percent problems, primes and ratios, logs and exponents, trigonometric functions, rounding, and algebra, alongside finance, body-measurement, and travel helpers. Each route runs a dedicated engine, with content beside the form stating any relevant limits such as decimal truncation or floored modulo.