Add, subtract, multiply, and divide fractions — simplified, as a mixed number, and as a decimal, with step-by-step working.
Add/subtract: rewrite both fractions over the Least Common Denominator (LCD), then combine numerators.
You entered 2/3 + 3/4.
All calculations run locally in your browser. Results use exact integer arithmetic and are reduced by the greatest common divisor.
To calculate with fractions: enter two fractions and pick an operation — the calculator shows the LCD for addition and subtraction, cross-multiplies for multiplication and division, then reduces with the GCD and gives mixed-number and decimal forms.
FreeToolHub Fraction Calculator is a free browser-based tool that adds, subtracts, multiplies, and divides fractions with step-by-step simplification, no signup.
Add, subtract, multiply, and divide fractions and mixed numbers. Results are simplified with the GCD and shown as mixed numbers and decimals. Free, no signup.
This calculator performs the four operations — addition, subtraction, multiplication, and division — on fractions written as a/b or as mixed numbers like 2 1/2. It finds the least common denominator (LCD) when adding or subtracting, multiplies straight across when multiplying, and divides by multiplying by the reciprocal. Every result is simplified to lowest terms using the greatest common divisor (GCD) and reported as an improper fraction, a mixed number, and a decimal, so 17/12 also appears as 1 5/12 and about 1.4167.
Students use it to check homework — the simplified, mixed-number answer shows what their own work should end with. Cooks halving or doubling a recipe meet fractions constantly: 3/4 cup plus 1/3 cup is 1 1/12 cups, not something measuring spoons handle gracefully. Woodworkers and DIYers add fractions of an inch all day, since imperial tape measures only mark binary fractions like 1/8 and 1/16. Parents helping with homework, nurses checking dosage fractions, and anyone converting between fractions and decimals for spreadsheets get the same arithmetic without a common-denominator headache.
(1) Enter each fraction as numerator/denominator, or as a mixed number like 3 1/4. (2) Choose +, −, ×, or ÷. (3) For addition and subtraction the calculator converts both fractions to the least common denominator first — 2/3 and 3/4 become 8/12 and 9/12 — then combines numerators. Multiplication multiplies numerators and denominators directly. Division flips the second fraction and multiplies: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8. (4) The result is reduced by dividing out the GCD, then displayed as an improper fraction, a mixed number, and a decimal to match whatever format your assignment or project requires.
Multiplication and division are indifferent to denominators: multiply straight across, or flip and multiply, then simplify. Addition and subtraction require matching denominators because fractions are only comparable in like-sized pieces — you cannot add 2/3 and 3/4 until both are twelfths. Any common denominator works, which is why textbooks teach "multiply the denominators," but the least common denominator keeps numbers small: 1/6 + 1/9 with the LCD 18 is 3/18 + 2/18 = 5/18, whereas the 54 that the butterfly method produces still simplifies to 5/18 after more work. The GCD-based final reduction guarantees the answer is in lowest terms either way.
Rewrite both over the least common denominator, add the numerators, keep the denominator, then simplify. For 1/4 + 1/6, the LCD of 4 and 6 is 12, so 3/12 + 2/12 = 5/12. This calculator performs the LCD conversion automatically and shows the simplified result.
Dividing by a number means multiplying by its reciprocal, and for fractions the reciprocal is the numerator and denominator swapped. So 3/4 ÷ 2/5 becomes 3/4 × 5/2 = 15/8 = 1 7/8. It is the same rule as 10 ÷ 5 = 10 × 1/5, just dressed in fractions.
A fraction is fully simplified when no whole number divides both numerator and denominator — 6/8 reduces to 3/4 because the GCD is 2. The calculator divides out the GCD on every result, so answers arrive ready to submit without a separate reduction step.
Type the whole part and the fraction, for example 2 1/2. Internally the calculator converts it to an improper fraction — 5/2 — before operating, which is exactly the step textbooks require. Results that exceed a whole number are shown both ways: improper and mixed.
Divide the numerator by the denominator: 5/8 = 0.625. Going the other way, place the decimal over its place value and reduce — 0.35 = 35/100 = 7/20. Terminating decimals come from denominators built of 2s and 5s; the calculator shows the decimal equivalent of every answer automatically.
A negative appears whenever the signs require it, such as subtracting a larger fraction from a smaller one: 1/3 − 1/2 = −1/6. Zero results are legitimate too — any fraction minus itself is 0 — and a zero denominator is rejected as undefined rather than producing a nonsense answer.
What do you call a nosy pepper?
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