Fraction Calculator
Solve complex fraction problems
Mastering Fractions
Fractions represent parts of a whole essentially division problems that haven't been completed yet. Understanding how to manipulate them is fundamental for algebra, baking, construction, and everyday math.
This calculator not only gives you the answer but helps you understand the steps involved, whether finding a common denominator for addition or flipping a fraction for division.
How to Use This Calculator
Enter the numerator and denominator for the first fraction
Select the operation (+, -, ×, ÷)
Enter the numerator and denominator for the second fraction
Click 'Calculate' to see the result
View the step-by-step solution to understand the process
Pro Tips
- •Always simplify your final answer to its lowest terms
- •When adding or subtracting, ensure denominators are the same first
- •Remember: 'Of' usually means multiply in word problems (e.g., '1/2 of 10')
- •Dividing by a fraction is the same as multiplying by its reciprocal
- •Convert mixed numbers to improper fractions before calculating
Adding Fractions Formula
a/b + c/d = (ad + bc) / bdWhere:
a/b= First fractionc/d= Second fractionbd= Common denominatorExample:
First= 1/2Second= 1/3Calculation:
(1×3 + 2×1) / (2×3) = (3 + 2) / 6Result: 5/6
Multiplying Fractions Formula
(a/b) × (c/d) = (ac) / (bd)Where:
a, c= Numeratorsb, d= DenominatorsExample:
First= 2/3Second= 3/4Calculation:
(2×3) / (3×4) = 6/12Result: 1/2 (simplified)
Frequently Asked Questions
To add fractions with different denominators, first find the Least Common Denominator (LCD). This is the smallest number that both denominators can divide into. Convert each fraction so they have the LCD as the new denominator, then add the numerators together and keep the denominator the same.