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Fraction Calculator
Calculate Fractions
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💡 Expert Tips
The "Cross Multiply" Shortcut
When adding/subtracting fractions, you don't always need the "least common denominator." Just cross multiply. For 1/4 + 1/3: multiply 1×3 and 1×4, get 3+4=7 on top. Multiply 4×3=12 on bottom. Answer: 7/12. Way faster than finding LCD.
Improper Fractions Are Okay
When you get 9/4, some teachers want you to convert it to 2 1/4 (a mixed number). But in algebra and higher math, improper fractions are preferred. They're easier to work with. This calculator keeps it as an improper fraction - if your teacher wants mixed numbers, convert it yourself.
Simplify Early or Late?
You can simplify before or after calculating. Example: (2/4) × (3/6) = simplify to (1/2) × (1/2) = 1/4. Or multiply first: 6/24, then simplify to 1/4. Same answer,but simplifying early makes the numbers smaller and easier to handle.
⚠️ Common Mistakes
Adding Denominators
The biggest mistake: thinking 1/2 + 1/3 = 2/5. Nope. You add the numerators but keep the common denominator. Correct: 1/2 + 1/3 = 3/6 + 2/6 = 5/6. Never add the denominators.
Forgetting to Flip When Dividing
Division rule: flip the second fraction and multiply. (1/2) ÷ (3/4) becomes (1/2) × (4/3) = 4/6 = 2/3. If you forget to flip, you'll get the reciprocal of the right answer.
Not Simplifying Enough
If your answer is 6/9, you're not done. Simplify to 2/3. Teachers will mark you wrong for "correct but not simplified" answers. Always check if numerator and denominator share factors.