Fraction Calculator
Fraction
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Decimal
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What is a Fraction Calculator?
A fraction calculator adds, subtracts, multiplies, and divides fractions, returning the result as a simplified fraction and its decimal equivalent. It handles the common denominator math automatically so you can focus on the problem rather than the steps.
How It Works
Each operation follows its own rule:
Example
Adding 1/3 + 1/4:
- Common denominator of 3 and 4 is 12
- 1/3 = 4/12, 1/4 = 3/12
- 4/12 + 3/12 = 7/12
- Decimal: 0.5833...
Tips
- For whole numbers, use a denominator of 1. For example, 3 = 3/1.
- To convert a mixed number like 2 1/3, rewrite it as an improper fraction: (2 x 3 + 1) / 3 = 7/3.
- Dividing by a fraction is the same as multiplying by its reciprocal: dividing by 2/3 is the same as multiplying by 3/2.
Frequently Asked Questions
How do I add fractions with different denominators?
Find the least common denominator, convert each fraction to that denominator, then add the numerators. For 1/4 + 1/6: the LCD is 12, so 3/12 + 2/12 = 5/12. This calculator does it automatically.
What is a simplified fraction?
A fraction is simplified when the numerator and denominator share no common factor other than 1. For example, 6/8 simplifies to 3/4 because both are divisible by 2.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. 3/4 = 3 divided by 4 = 0.75. Some fractions produce repeating decimals: 1/3 = 0.3333...
What is an improper fraction?
An improper fraction has a numerator larger than its denominator, like 7/4. It equals the mixed number 1 3/4. Both forms are valid; improper fractions are easier to use in calculations.