Fraction Calculator
Add, subtract, multiply, and divide fractions instantly — with step-by-step solutions, simplified results, and decimal equivalents.
How to Use the Calculator
- Enter the numerator and denominator for each fraction. Select the operation you want — add subtract multiply or divide.
- The step-by-step solution shows every step of the calculation so you can learn the method not just see the answer.
- Use Simplify Fraction tab to reduce any fraction to its simplest form.
- Download the PDF to save the full step-by-step solution for studying.
Example Examples
Fraction Operations (Tab 1)
- 3/4 + 2/3: LCD=12, 9/12 + 8/12 = 17/12 = 1 and 5/12 = 1.4167
- 3/4 × 2/3: 6/12 = 1/2 = 0.5
Simplify Fraction (Tab 2)
- 18/24: GCD=6, 18/6=3, 24/6=4, Result=3/4=0.75
Frequently Asked Questions
How do you add fractions with different denominators?
Find the least common denominator (LCD) of the two fractions. Convert each fraction so both have the LCD as the denominator. Then add the numerators and keep the denominator. For example 3/4 plus 2/3 — the LCD is 12. Convert to 9/12 and 8/12 then add to get 17/12 which simplifies to 1 and 5/12.
How do you multiply fractions?
Multiply the numerators together and the denominators together. For example 3/4 times 2/3 equals 6/12 which simplifies to 1/2. Always simplify the result by dividing both numerator and denominator by their greatest common divisor.
How do you divide fractions?
Multiply the first fraction by the reciprocal of the second fraction. The reciprocal flips the numerator and denominator. For example 3/4 divided by 2/3 equals 3/4 times 3/2 which equals 9/8 or 1 and 1/8.
What is a mixed number?
A mixed number combines a whole number and a proper fraction. For example 17/12 as a mixed number is 1 and 5/12 because 12 goes into 17 once with 5 left over. To convert an improper fraction (where numerator exceeds denominator) to a mixed number divide the numerator by the denominator — the quotient is the whole number and the remainder becomes the new numerator.
What is the greatest common divisor and why does it matter?
The greatest common divisor (GCD) of two numbers is the largest number that divides both evenly. For simplifying fractions divide both numerator and denominator by their GCD. For example GCD of 18 and 24 is 6 so 18/24 simplifies to 3/4. Using the GCD always gives the simplest form in one step.