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Add, subtract, multiply, and divide proper, improper, and mixed fractions with automatic reduction to lowest terms and decimal equivalents for cooking, carpentry, and homework.
Math
Generated on July 8, 2026
Add, subtract, multiply, and divide proper, improper, and mixed fractions with automatic reduction to lowest terms and decimal equivalents for cooking, carpentry, and homework.
A fraction calculator performs the four basic arithmetic operations on fractions — addition, subtraction, multiplication, and division — and returns the result in both fractional and decimal form, automatically reduced to lowest terms. It is useful for students learning fraction arithmetic, parents helping with homework, cooks scaling recipes, carpenters measuring in inches, and anyone working with ratios that do not cleanly divide. This tool handles proper fractions, improper fractions, and can be used repeatedly to chain several operations.
Formula
a/b + c/d = (ad + cb) / bd. a/b − c/d = (ad − cb) / bd. a/b × c/d = ac / bd. a/b ÷ c/d = ad / bc.It's a Tuesday evening, your sixth-grader is in tears at the kitchen table, and the homework problem reads '5/6 minus 3/4 — show working.' You vaguely remember LCM but the explanation has fled your brain in the years since you needed it. Or — different scenario, same calculator — you're halving a recipe that calls for 3/4 cup of milk and you're standing in the kitchen doing 3 over 8 in your head because you can't find a measuring cup that small. Fraction arithmetic is one of those skills that everyone supposedly learns and almost nobody retains, because adults use decimals and percentages instead. But fractions still show up: in cooking, in 16ths of an inch for carpentry, in dosage calculations, in any place where you need precision smaller than a percentage. This tool handles add, subtract, multiply, divide on proper and improper fractions, reduces to lowest terms automatically using GCD, and shows both fractional and decimal answers so you can sanity-check the result. Honest tip: if you're a parent helping with homework, do the problem in the calculator first, then walk your kid through the steps backwards. That way you can spot exactly which step they're getting stuck on, instead of guessing — which is usually the common-denominator step.
A fraction calculator performs the four basic arithmetic operations on fractions — addition, subtraction, multiplication, and division — and returns the result in both fractional and decimal form, automatically reduced to lowest terms. It is useful for students learning fraction arithmetic, parents helping with homework, cooks scaling recipes, carpenters measuring in inches, and anyone working with ratios that do not cleanly divide. This tool handles proper fractions, improper fractions, and can be used repeatedly to chain several operations.
For addition and subtraction, we bring both fractions to a common denominator — using the product of the two denominators works even when it is not the least common denominator. Multiplication is direct: multiply the tops and the bottoms. Division flips the second fraction and multiplies (multiplying by the reciprocal). After any operation, the calculator reduces the result by dividing numerator and denominator by their greatest common divisor (GCD) to present the fraction in lowest terms.
The most-used fractions with their equivalent decimal and percentage values — used in cooking, construction, finance, and math.
| Fraction | Decimal | Percentage | In 16ths |
|---|---|---|---|
| 1/2 | 0.5 | 50% | 8/16 |
| 1/3 | 0.333… | 33.3% | — |
| 2/3 | 0.667… | 66.7% | — |
| 1/4 | 0.25 | 25% | 4/16 |
| 3/4 | 0.75 | 75% | 12/16 |
| 1/5 | 0.2 | 20% | — |
| 2/5 | 0.4 | 40% | — |
| 3/5 | 0.6 | 60% | — |
| 4/5 | 0.8 | 80% | — |
| 1/6 | 0.167 | 16.7% | — |
| 1/8 | 0.125 | 12.5% | 2/16 |
| 3/8 | 0.375 | 37.5% | 6/16 |
| 5/8 | 0.625 | 62.5% | 10/16 |
| 7/8 | 0.875 | 87.5% | 14/16 |
| 1/10 | 0.1 | 10% | — |
| 1/16 | 0.0625 | 6.25% | 1/16 |
Imperial measurements use 16ths of an inch (1/16, 1/8, 3/16…) — fundamental for carpentry and tailoring.
Cooking fractions (1/4, 1/3, 1/2, 3/4 cup) are so common that measuring cups are named after them.
Stock prices historically used fractions (e.g., $25¼) until US markets switched to decimals in 2001.
Pi (π) can be approximated as 22/7 — accurate to within 0.04%.
1/2 + 1/3 = 3/6 + 2/6 = 5/6 — the classic first example of fraction addition requiring a common denominator.
3/4 − 1/8 = 6/8 − 1/8 = 5/8 — subtract after aligning denominators; the result is already in lowest terms.
2/3 × 3/4 = 6/12 = 1/2 — multiplication produces a result that simplifies neatly.
5/6 ÷ 2/3 = 5/6 × 3/2 = 15/12 = 5/4 = 1¼ — division becomes multiplication after flipping the second fraction.
In cooking, halving a recipe that calls for 3/4 cup of milk gives 3/8 cup — fraction multiplication in everyday kitchen use.
Carpentry: cutting a 17/8-inch board into four equal pieces gives 17/32 inch each — precise decimal 0.53125 inches.
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