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Mathovia
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Math Calculators

Fractions, decimals, geometry, and everyday math tools.

These are the calculators for the arithmetic that shows its working. Fractions, percentages, ratios, roots and geometry — each one returns the answer and the steps that produced it, so they are as useful for checking homework or learning a method as for getting a number quickly.

The fraction tools are the most used here, and they cover the operations where the procedure differs. Adding and subtracting need a common denominator; multiplying does not, and goes straight across; dividing means multiplying by the reciprocal. Every result is given in lowest terms, as a decimal, and as a mixed number where the fraction is improper, because which form you want depends entirely on what you are doing with it next.

If you want the reasoning rather than just the result, the math lessons cover the same ground in more depth, with worked examples and diagrams — and most calculators link to the matching lesson. The practice problems generate fresh questions with answers if you would rather work through them yourself.

Fractions & Decimals

Adding Fractions Calculator

Add two fractions or mixed numbers instantly. Get results in fraction form, mixed form, and decimal.

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Comparing Fractions Calculator

Compare two fractions to see which is larger, smaller, or equal, with the decimal value of each fraction shown alongside.

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Decimal to Fraction Calculator

Convert any decimal number into a simplified fraction, with the exact numerator, denominator, and GCD shown.

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Dividing Fractions Calculator

Divide two fractions or mixed numbers instantly. Get results in fraction form, mixed form, and decimal.

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Equivalent Fractions Calculator

Find an equivalent fraction for any starting fraction by scaling the numerator and denominator by the same factor.

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Fraction Simplifier – Fraction Reducer

Reduce any fraction to its lowest terms instantly, with the GCD used to simplify and the decimal equivalent shown.

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Fraction to Decimal Calculator

Convert a fraction or mixed number into its exact decimal value, plus the percent equivalent, in one step.

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Fraction to Percent Calculator

Convert a fraction or mixed number into a percentage instantly, with the decimal value shown alongside.

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Fraction to Ratio Calculator

Convert a fraction into its simplest ratio form, showing both parts reduced by their greatest common divisor.

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Improper Fraction to Mixed Number Calculator

Convert an improper fraction into a mixed number, showing the whole number and remainder fraction step by step.

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Least Common Denominator Calculator

Find the least common denominator of two fractions and see each one rewritten over that shared denominator.

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Mixed Number Calculator

Add two mixed numbers and get the answer as a simplified mixed number, an improper fraction, and a decimal.

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Mixed Number to Improper Fraction Calculator

Convert a mixed number into a single improper fraction, with the decimal value shown for a quick check.

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Multiplying Fractions Calculator

Multiply two fractions or mixed numbers instantly. Get results in fraction form, mixed form, and decimal.

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Solve For Unknown Fraction Calculator

Solve for the missing number in a fraction proportion (a/b = c/d) when you know the other three values.

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Subtracting Fractions Calculator

Subtract two fractions or mixed numbers instantly. Get results in fraction form, mixed form, and decimal.

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Inch Fraction Calculator

Add, subtract, and round inch fractions, mixed numbers, and decimals.

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Algebra

Arithmetic Sequence Calculator

Find the nth term, the sum of n terms and the explicit and recursive formulas of an arithmetic sequence, from a₁ and d, a list of terms or two terms.

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Average Rate of Change Calculator

Find the average rate of change of a function over an interval, or from two points in a table, with exact fractions, steps and the secant line graphed.

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Binomial Expansion Calculator

Expand any binomial (a + b)^n with exact coefficients, Pascal's triangle and every term worked out, or pick out one term of the expansion.

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Difference Quotient Calculator

Find and simplify the difference quotient of any polynomial, rational or square root function, with every step shown and a live secant-line graph.

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Exponential Growth Calculator

Solve exponential growth and decay for the final amount, starting amount, rate or time, with continuous growth, doubling time, half-life and a graph.

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Gaussian Elimination Calculator

Solve 2 × 2 and 3 × 3 systems with Gaussian or Gauss-Jordan elimination. Shows the augmented matrix after every row operation, then back-substitution.

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Geometric Sequence Calculator

Find the nth term, the sum of n terms and the infinite sum of a geometric sequence, with explicit and recursive formulas, from a₁ and r or two terms.

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Interval Notation Calculator

Convert inequalities to interval notation and back, with solving steps, set-builder notation and a number line. Handles and, or, ≠ and unions.

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Rational Equations Calculator

Solve rational equations step by step: restrictions, the LCD, clearing fractions, solving, and checking for extraneous solutions, with both sides graphed.

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Sequence Calculator

Type a list of numbers and the sequence calculator finds the pattern, the formula for the nth term and the next terms, with a table of differences.

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Substitution Method Calculator

Solve a system of two equations by substitution with every step shown: isolate a variable, substitute, solve, back-substitute and check.

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Summation Calculator

Evaluate any sigma notation sum exactly, from Σk to infinite series, with the power-sum formulas, a closed-form answer and a chart of the running total.

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System of Equations Calculator

Solve systems of 2 or 3 linear equations with every step shown: substitution, elimination, Cramer's rule or Gauss-Jordan, plus a graph and a check.

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Two-Step Equation Calculator

Solve two-step equations like 3x + 5 = 20 with every step shown: undo addition, undo multiplication, then check. Handles fractions and decimals.

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Vertex Form Calculator

Convert y = ax² + bx + c to vertex form by completing the square, step by step. Get the vertex, axis, intercepts, focus, directrix and a graph.

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Zeros Calculator

Find every zero of a polynomial, rational, irrational or complex, with multiplicity, factored form, step-by-step working and a graph of the x-intercepts.

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