Fraction Calculator - Fraction Calculator with Mixed Numbers
Use our free fraction calculator to add, subtract, multiply, and divide fractions. Our fraction calculator with mixed numbers provides simplified results, decimal conversions, and step-by-step solutions.
Add, subtract, multiply, and divide fractions. Convert fractions to decimals and percentages. Simplify fractions and perform fraction arithmetic with ease.
Fraction Calculator
Fraction Results
Enter fractions to calculate
Fraction Calculator Examples
Common Fraction Operations
- • 1/2 + 1/3: 5/6
- • 3/4 - 1/4: 1/2
- • 2/3 × 3/4: 1/2
- • 1/2 ÷ 1/4: 2
- • 5/6 as decimal: 0.833...
Fraction Tips
- • Simplify: Always reduce to lowest terms
- • Common Denominator: For addition/subtraction
- • Cross Multiply: For division
- • Convert: Fractions to decimals easily
- • Check: Verify your answers
Frequently Asked Questions About Fractions
How do I add and subtract fractions?
To add or subtract fractions, you need a common denominator. Find the least common multiple (LCM) of the denominators, convert both fractions to have that denominator, then add or subtract the numerators. For example, 1/2 + 1/3: LCM of 2 and 3 is 6, so 1/2 = 3/6 and 1/3 = 2/6, giving 3/6 + 2/6 = 5/6. Our fraction calculator automatically finds common denominators and simplifies results.
How do I multiply and divide fractions?
To multiply fractions, multiply the numerators together and the denominators together: (a/b) × (c/d) = (a×c)/(b×d). To divide fractions, multiply by the reciprocal (flip the second fraction): (a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d)/(b×c). For example, 2/3 × 3/4 = 6/12 = 1/2, and 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9. Our calculator handles all operations and simplifies automatically.
What does it mean to simplify a fraction?
Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). For example, 8/12 simplifies to 2/3 (both divided by 4). Simplified fractions are easier to work with and represent the same value. Our fraction calculator automatically simplifies all results to their lowest terms, making calculations cleaner and easier to understand.
How do I convert fractions to decimals and percentages?
To convert a fraction to a decimal, divide the numerator by the denominator: 3/4 = 3 ÷ 4 = 0.75. To convert to a percentage, multiply the decimal by 100: 0.75 × 100 = 75%. Our calculator shows all three formats (fraction, decimal, percentage) automatically, so you can see 3/4 = 0.75 = 75% in one result. This is useful for comparing values and understanding fractions in different contexts.
What are mixed numbers and how do I use them?
A mixed number combines a whole number and a fraction, like 2 1/3 (two and one-third). To work with mixed numbers, convert them to improper fractions first: multiply the whole number by the denominator, add the numerator, and keep the denominator. For example, 2 1/3 = (2×3 + 1)/3 = 7/3. Our fraction calculator with mixed numbers can handle mixed number inputs, though you'll need to convert them to improper fractions first for calculations.
When would I use a fraction calculator in real life?
Fraction calculators are useful for cooking (recipe measurements like 1/2 cup), construction (measurements like 3/4 inch), finance (calculating portions of investments), education (homework and tests), and any situation involving parts of a whole. Our calculator provides step-by-step solutions, making it perfect for learning and verifying your manual calculations. It's especially helpful for complex fraction operations that would be time-consuming to do by hand.