Add, subtract, multiply or divide fractions and mixed numbers — then simplify any fraction to lowest terms, with step-by-step working and decimal equivalents.
Enter two fractions (whole number part is optional for mixed numbers):
A fraction represents a part of a whole, written as numerator/denominator — for example 3/4 means 3 parts out of 4 equal parts. Fractions can be proper (numerator smaller than denominator, like 3/4), improper (numerator larger, like 7/4), or written as a mixed number combining a whole number and a proper fraction, like 1 3/4.
The calculator above handles all three forms: enter a whole number, a numerator and a denominator for each fraction, choose an operation, and get an exact simplified answer instantly.
To reduce any fraction to its lowest terms, divide the numerator and denominator by their greatest common divisor (GCD). Use the quick tool below — it's the same math the main calculator uses to simplify every result automatically.
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.333333 |
| 1/4 | 0.25 |
| 1/5 | 0.2 |
| 1/8 | 0.125 |
| 3/4 | 0.75 |
| 2/3 | 0.666667 |
| 5/8 | 0.625 |
Convert both fractions to a common denominator, then add the numerators and keep the denominator. Example: 1/4 + 1/3 = 3/12 + 4/12 = 7/12. If the fractions are mixed numbers, convert them to improper fractions first.
Find a common denominator, then subtract the numerators. Example: 3/4 − 1/6 = 9/12 − 2/12 = 7/12. Simplify the result to lowest terms if possible.
Multiply the numerators together and the denominators together, then simplify. Example: 2/3 × 3/5 = 6/15 = 2/5. No common denominator is needed for multiplication.
Multiply the first fraction by the reciprocal (flip) of the second fraction. Example: 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3.
Divide both the numerator and denominator by their greatest common divisor (GCD). Example: 12/18 has a GCD of 6, so 12/18 = 2/3. The calculator above does this automatically in the “Simplify a Fraction” tool.
Divide the numerator by the denominator. Example: 3/8 = 3 ÷ 8 = 0.375. Every result on this calculator shows the decimal equivalent automatically.
A mixed number combines a whole number and a proper fraction, like 2 1/3 (two and one third). It equals the improper fraction 7/3. Enter the whole-number part in the “Whole” field to work with mixed numbers.
The simplest method is to multiply the two denominators together, then scale each numerator to match. For example, for 1/4 and 1/3 the common denominator is 4 × 3 = 12. A smaller, more efficient option is the least common multiple (LCM) of both denominators.
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