Fraction Calculator

Fractions appear everywhere: recipes call for half a cup of sugar, construction plans use quarter-inch measurements, and school homework asks you to simplify three eighths. Even confident math users can slip up when denominators do not match or when a result needs to be converted to a mixed number. This free fraction calculator removes the busywork by handling addition, subtraction, multiplication, and division in one place, then presenting the answer in the three most useful forms: simplified fraction, mixed number, and decimal.

The tool runs entirely in your browser, so nothing you enter leaves your device. It is a fast companion for students, teachers, cooks, woodworkers, and anyone who needs a reliable answer without opening a textbook. By showing the answer as a simplified fraction, a mixed number, and a decimal, it bridges the gap between formal math notation and the numbers you actually use in everyday tasks.

The Fraction Calculator supports all four basic operations. Add and subtract fractions by first finding a common denominator and then combining the numerators. Multiply fractions directly across the top and bottom, then simplify. Divide fractions by multiplying the first fraction by the reciprocal of the second. Every result is automatically reduced to lowest terms using the greatest common divisor, and when the numerator is larger than the denominator the tool also shows a mixed number and decimal value.

Under the hood, the calculator keeps numerators and denominators as integers for as long as possible. This avoids the tiny rounding errors that can appear when computers store fractions as decimals, so the simplified fraction you see is exact, not an approximation.

Enter the numerator and denominator of the first fraction, choose the operation (+, −, ×, ÷), then enter the second fraction. The answer updates as soon as all four numbers are filled in. If either denominator is zero or a field is left blank, the calculator waits for valid input. Press Clear at any time to reset all fields and start a new calculation.

No submit button is needed because the result is calculated in real time. You can experiment freely: change the operator to compare the same fractions under addition, subtraction, multiplication, and division, or adjust one number to see how the simplified answer changes.

• Cooking and baking: Scale recipes up or down when measurements are given in cups, halves, thirds, or quarters.
• Homework and teaching: Check arithmetic problems involving fraction operations and simplification.
• Woodworking and crafts: Add or subtract fractional inch measurements for precise cuts and layouts.
• Finance and budgeting: Combine fractional shares, interest rates, or allocation targets.
• Science and ratios: Work with proportions, dilutions, and probabilities expressed as fractions.
• Time management: Add fractional hours, such as 3/4 hour plus 1/2 hour, to plan schedules.

Suppose you want to add 2/5 and 1/3. Because the denominators are different, the calculator first rewrites each fraction with a common denominator of 15: 2/5 becomes 6/15 and 1/3 becomes 5/15. Adding the numerators gives 11/15, which is already in simplest form. The decimal equivalent is approximately 0.7333. If the result were something like 17/8, the calculator would display 2 1/8 alongside 2.125.

This same process applies to subtraction. For 3/4 − 1/6, the common denominator is 12, so the calculation becomes 9/12 − 2/12 = 7/12, which is fully simplified.

For multiplication and division, the steps are different but equally straightforward. Multiplying 2/3 by 5/7 gives 10/21. Dividing 2/3 by 5/7 is the same as multiplying 2/3 by 7/5, giving 14/15. In every case, the calculator reduces the final fraction and, when helpful, converts it to a mixed number or decimal.

• Always check whether the final answer can be simplified by dividing the numerator and denominator by their greatest common factor.
• Remember that multiplying does not require a common denominator; simply multiply across and reduce at the end.
• When dividing, flip the second fraction before multiplying. A common mistake is to invert the first fraction instead.
• Use mixed numbers for everyday communication, but improper fractions are usually easier for further calculations.
• Keep denominators non-zero. Division by zero has no meaning, and a denominator of zero makes a fraction undefined.