Add, subtract, multiply, and divide fractions. Simplify fractions and convert between fractions and decimals. Free online fraction calculator with step-by-step results.
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Fractions are everywhere—in recipes, measurements, grades, and finance. Our free fraction calculator lets you add, subtract, multiply, and divide fractions, simplify them, and convert between fractions and decimals in seconds. Whether you're a student doing homework, a parent helping with math, or someone working with measurements, this tool gives you accurate results with optional step-by-step understanding. You can enter proper fractions (like 3/4), improper fractions (like 7/4), or mixed numbers (like 1 3/4). Results are shown in simplified form and as decimals. Try our percentage calculator for percent problems or our scientific calculator for more advanced math.
A fraction represents a part of a whole. The number above the line is the numerator; the number below is the denominator. For example, in 3/4, 3 is the numerator and 4 is the denominator, meaning three parts out of four equal parts. Fractions can be proper (numerator less than denominator, e.g. 1/2), improper (numerator greater than or equal to denominator, e.g. 5/4), or mixed (a whole number plus a fraction, e.g. 1 1/4). Our calculator handles all of these and simplifies results using the greatest common divisor (GCD) so you always get the lowest terms.
When fractions have the same denominator, add or subtract the numerators and keep the denominator. For example, 1/5 + 2/5 = 3/5. When denominators differ, you need a common denominator—usually the least common multiple (LCM) of the denominators. For 1/2 + 1/3, the LCM of 2 and 3 is 6, so 1/2 = 3/6 and 1/3 = 2/6, giving 3/6 + 2/6 = 5/6. Our fraction calculator does this automatically and reduces the result to simplest form. Subtraction works the same way: find a common denominator, subtract the numerators, then simplify.
To multiply fractions, multiply the numerators together and the denominators together. For example, 2/3 × 4/5 = (2×4)/(3×5) = 8/15. Simplify if possible (here 8/15 is already in lowest terms). To divide fractions, flip the second fraction (take its reciprocal) and multiply. So 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12, which simplifies to 5/6. Our calculator performs these operations and shows the result as a fraction and as a decimal so you can check your work or use the value in other calculations.
Simplifying (or reducing) a fraction means writing it in lowest terms so the numerator and denominator have no common factor other than 1. You do this by dividing both by their greatest common divisor (GCD). For example, 8/12 has GCD(8,12) = 4, so 8/12 = (8÷4)/(12÷4) = 2/3. Our tool simplifies every result automatically. If you only want to simplify a single fraction, enter it as the first fraction, choose an operation that leaves it unchanged (e.g. multiply by 1/1), or use the simplify-only mode if the calculator offers it. Simplified fractions make it easier to compare and work with numbers.
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Some fractions give repeating decimals (e.g. 1/3 = 0.333…); our calculator shows a rounded decimal or the repeating pattern where practical. To convert a decimal to a fraction, write the decimal as a fraction with a power of ten as the denominator, then simplify. For example, 0.75 = 75/100 = 3/4. The fraction calculator displays both the fractional and decimal form of the result so you can use whichever is more convenient for your task.
A mixed number has a whole number part and a fractional part, such as 2 1/3 (two and one-third). To convert to an improper fraction: multiply the whole number by the denominator, add the numerator, and put that over the denominator. So 2 1/3 = (2×3+1)/3 = 7/3. To convert an improper fraction to a mixed number, divide the numerator by the denominator; the quotient is the whole part and the remainder over the denominator is the fraction. Our calculator accepts both mixed numbers and improper fractions and can display results in either form when useful.
When adding or subtracting fractions, a common error is adding or subtracting the denominators—denominators stay the same when they are already the same, and when they differ you must find a common denominator first. When multiplying, avoid cross-cancelling before you're comfortable; multiply straight across then simplify. When dividing, remember to take the reciprocal of the divisor (the second fraction). Always check that the denominator is not zero; our calculator validates input and shows a clear message if a value is invalid. Finally, double-check that mixed numbers are entered correctly (whole part and fraction part) so the result is what you expect.
Enter the first fraction (numerator and denominator, or as a mixed number). Enter the second fraction. Choose the operation: add, subtract, multiply, or divide. Click Calculate to see the result. The result appears as a simplified fraction and as a decimal. Use the copy button to copy the result for use elsewhere. Try the example presets to see common calculations like 1/2 + 1/3 or 3/4 × 2/5. For more math tools, use our GPA calculator for grades or our unit converter for measurement conversions.
When adding or subtracting fractions with different denominators, you need a common denominator. The least common denominator is the smallest number that both denominators divide into—it's the LCM of the denominators. For 1/4 and 1/6, the LCM of 4 and 6 is 12, so 1/4 = 3/12 and 1/6 = 2/12, and 1/4 + 1/6 = 5/12. Using the LCD keeps the numbers smaller and makes simplification easier. Our calculator finds the LCD for you and converts each fraction before adding or subtracting, then simplifies the result. For more on factors and multiples, the same ideas appear in our GPA calculator when converting grade points.
When doing fraction math by hand, always simplify at the end so your answer is in lowest terms. When multiplying, you can cancel common factors before multiplying to save work. When dividing, double-check that you flipped the second fraction. For mixed numbers, convert to improper fractions before calculating, then convert back if you want a mixed number result. Use our calculator to verify your hand work or when you need a quick, accurate result. Bookmark the page for homework, recipe scaling, or any project that uses fractions.
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To add fractions with the same denominator, add the numerators and keep the denominator. For different denominators, find the least common multiple (LCM) of the denominators, convert each fraction to that denominator, then add the numerators. Our calculator does this automatically and shows the result in simplified form.
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). For example, 8/12 simplifies to 2/3 because GCD(8,12) = 4. Our calculator simplifies results automatically and can also convert mixed numbers to improper fractions and back.
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Repeating decimals are shown with a bar or rounded to a practical number of places. Our fraction calculator shows both the fraction result and its decimal equivalent.
A mixed number has a whole number part and a fraction part, e.g. 2 1/3 (two and one-third). It equals 2 + 1/3 = 7/3 as an improper fraction. Our calculator supports mixed number input and displays results as simplified fractions or mixed numbers when appropriate.
Yes. You can enter negative numerators or denominators. The calculator follows standard rules: a negative divided by a positive is negative, and a negative divided by a negative is positive. Results are simplified and shown in decimal form as well.