Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions
How to Use This Calculator
Need another student-friendly tool? Explore TravelGeo for supplemental learning support.
Adding Fractions
To add fractions, find a common denominator, convert both fractions to equivalent fractions with that denominator, then add the numerators.
Example Problems:
- Add 1/2 + 1/4 to combine recipe measurements (e.g., 1/2 cup + 1/4 cup = 3/4 cup)
- Calculate 3/4 + 1/2 to find total pizza eaten
- Sum 2/3 + 1/6 to determine total time spent on tasks
Subtracting Fractions
Subtracting fractions follows the same process as addition: find a common denominator, then subtract the numerators.
Example Problems:
- Calculate 3/4 - 1/2 to find remaining pizza
- Subtract 5/8 - 1/4 to determine leftover fabric
- Find 7/10 - 2/5 to calculate remaining fuel
Multiplying Fractions
Multiply fractions by multiplying the numerators together and multiplying the denominators together. Then simplify the result.
Example Problems:
- Calculate 1/2 of 3/4 cup of sugar (1/2 × 3/4 = 3/8 cup)
- Find 2/3 of 3/5 of a pizza
- Determine 3/4 × 2/5 to scale a recipe
Dividing Fractions
To divide fractions, multiply by the reciprocal (flip) of the second fraction. This is the "flip and multiply" rule.
Example Problems:
- How many 1/4 cup servings in 3/4 cup? (3/4 ÷ 1/4 = 3 servings)
- Calculate 1/2 ÷ 1/3 to find how many times 1/3 fits into 1/2
- Find 5/6 ÷ 2/3 to determine portions
Frequently Asked Questions
How do I add fractions with different denominators?
Find the least common denominator (LCD), convert both fractions to equivalent fractions with that denominator, then add the numerators. For example, to add 1/2 + 1/4: the LCD is 4, so convert 1/2 to 2/4, then add 2/4 + 1/4 = 3/4.
What is a common denominator?
A common denominator is a number that both denominators can divide into evenly. The least common denominator (LCD) is the smallest such number. For example, for 1/2 and 1/3, the LCD is 6 (since both 2 and 3 divide into 6).
How do I simplify fractions?
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). For example, 4/8 simplifies to 1/2 because both 4 and 8 can be divided by 4. Our calculator automatically simplifies all results.
How do I convert mixed numbers to improper fractions?
Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2 × 2 + 1)/2 = 5/2.
What does "flip and multiply" mean for division?
When dividing fractions, flip (take the reciprocal of) the second fraction and change the operation to multiplication. For example, 1/2 ÷ 1/4 becomes 1/2 × 4/1 = 4/2 = 2.
Why use a fraction calculator?
A fraction calculator saves time, ensures accuracy, and shows you the step-by-step work so you can learn how to solve fraction problems. It's perfect for homework help, checking your work, or learning fraction arithmetic.
Related Calculators
Educational Disclaimer
This calculator is provided for educational purposes and homework assistance. While we strive for accuracy, please verify critical calculations independently. Results should not be used as the sole basis for important financial, academic, or professional decisions. Always check your work and consult with appropriate professionals when needed.