Fraction Calculator
Add, subtract, multiply, divide, and simplify fractions with step-by-step solutions.
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1/2 + 1/4
= (1 × 4 + 1 × 2) / (2 × 4)
= 6/8
GCD(6, 8) = 2
= 3/4
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What is a Fraction Calculator?
A fraction represents a part of a whole or, more generally, any number of equal parts. It consists of a numerator (displayed above a line) and a denominator (displayed below that line).
How it Works
Different operations require different formulas:
- Adding/Subtracting: Find a common denominator, then add or subtract the numerators.
- Multiplying: Multiply the numerators together and the denominators together. Formula: (a/b) × (c/d) = (ac)/(bd).
- Dividing: Multiply the first fraction by the reciprocal of the second. Formula: (a/b) ÷ (c/d) = (a/b) × (d/c).
Example Calculation
Let's add 1/2 + 1/3.
- Find the Least Common Denominator (LCD) for 2 and 3, which is 6.
- Convert fractions: 1/2 = 3/6 and 1/3 = 2/6.
- Add numerators: 3 + 2 = 5.
- The result is 5/6.
Frequently Asked Questions
How do I multiply fractions?
Multiply the numerators to get the new numerator and the denominators to get the new denominator.
How do I divide fractions?
Flip the second fraction (find its reciprocal) and then multiply it by the first fraction.
What is a mixed number?
A mixed number is a whole number combined with a fraction, like 1 1/2.
How to simplify a fraction?
Divide both the numerator and the denominator by their greatest common divisor (GCD).
Can I add fractions with different denominators?
Yes, but you must first find a common denominator before adding the numerators.