Add, subtract, multiply, and divide fractions and mixed numbers with free step-by-step working
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This fraction calculator adds, subtracts, multiplies, and divides fractions, whole numbers, and mixed numbers such as 1 1/2. You can type one expression with parentheses, or enter two fractions and an operator. Multiplication and division are done before addition and subtraction. The result is a simplified fraction, a mixed number when the value is greater than one, and a decimal.
Addition and subtraction use the least common denominator, which is the least common multiple of the denominators. The steps also show the cross-multiplied numerator over the product of the denominators, then reduce. Division multiplies by the reciprocal. Simplifying divides the numerator and denominator by their greatest common factor. The arithmetic uses whole-number math, so large integers are not rounded off.
The Simplify tab reduces one fraction. The Decimal tab turns a terminating decimal into a fraction, and it accepts repeating decimals written as 0.333… or 0.1(6). Bars under the result show how many wholes and what fraction of the next whole you have. Division by zero, an empty box, and text that is not a fraction are rejected. The page runs in the browser. There is no account, and the calculation is not uploaded.
1 1/2 + 3/4 × 2/5 multiplies 3/4 × 2/5 first, which is 3/10. Then 1 1/2 is 3/2. The LCD of 2 and 10 is 10, so 15/10 + 3/10 = 18/10, which simplifies by GCF 2 to 9/5. That is the mixed number 1 4/5 and the decimal 1.8.
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Add, subtract, multiply, or divide fractions and mixed numbers, then read the steps.
Open the fraction calculator.
Use the expression box, or switch to two fractions and pick + − × or ÷.
Type mixed numbers like 1 1/2, fractions like 3/4, and parentheses if you need them.
Read the simplified fraction, mixed number, and decimal, plus the step-by-step working.
Use Simplify for one fraction, or Decimal to turn 0.333… or 0.1(6) into a fraction.
Copy a result or the share link. Nothing is saved to an account.
Find the least common denominator, the least common multiple of the denominators. Rewrite each fraction with that denominator, add the numerators, and divide by the greatest common factor. 1/2 + 1/3 uses LCD 6: 3/6 + 2/6 = 5/6. The steps also show the cross-multiplied form over the product of the denominators.
Multiply by the reciprocal. Flip the second fraction, then multiply. 1/2 ÷ 1/4 = 1/2 × 4/1 = 2. Division by zero is rejected.
Divide the numerator and the denominator by their greatest common factor. 18/10 has GCF 2, so it simplifies to 9/5. The Simplify tab does that for one fraction or mixed number.
A terminating decimal uses a power of ten: 0.25 = 25/100 = 1/4. A repeating decimal can be written with an ellipsis or parentheses. 0.333… and 0.(3) become 1/3, and 0.1(6) becomes 1/6. Use the Decimal tab.
Multiply the whole number by the denominator, add the numerator, and keep the denominator. 1 1/2 = (1 × 2 + 1) / 2 = 3/2. The expression box accepts mixed numbers directly.
Yes. It runs in your browser, needs no account, and does not upload the expression. A share link only stores the calculation in the URL you copy.
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Mixed numbers use a space, like 1 1/2. × and ÷ happen before + and −. Parentheses work.
Simplified fraction
9/5
Mixed number
1 4/5
Decimal
1.8
Fraction bars
Each full bar is one whole.
