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Fraction Calculator
Add, subtract, multiply, divide fractions โ simplify and convert to decimals.
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Fraction Calculator
a/b + c/d ยท Simplify ยท To decimal
First Fraction
Second Fraction
Single Fraction Tools
Fraction Calculator โ Add, Subtract, Multiply & Divide Fractions
This fraction calculator lets you perform arithmetic operations on fractions quickly and accurately. Enter two fractions and choose an operation (addition, subtraction, multiplication, or division) to get an instant result in simplified form. You can also simplify a single fraction to its lowest terms or convert it to a decimal. Perfect for homework, cooking conversions, carpentry measurements, and any situation involving fractional numbers.
How Fraction Arithmetic Works
| Operation | Formula | Example |
|---|---|---|
| Addition | a/b + c/d = (ad+bc)/bd | 1/3 + 1/4 = 7/12 |
| Subtraction | a/b โ c/d = (adโbc)/bd | 3/4 โ 1/2 = 1/4 |
| Multiplication | a/b ร c/d = ac/bd | 2/3 ร 3/5 = 2/5 |
| Division | a/b รท c/d = ad/bc | 1/2 รท 3/4 = 2/3 |
Frequently Asked Questions
How do you simplify a fraction?
Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by that number. For example, 8/12: GCD(8,12)=4, so 8/12 = 2/3.
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/8 = 3 รท 8 = 0.375.
Why do we need a common denominator for addition?
You can only add pieces of the same size. A common denominator ensures both fractions represent the same-sized pieces, so adding the numerators gives the correct total.
What is an improper fraction?
An improper fraction has a numerator larger than the denominator (e.g., 7/4). It equals more than 1. You can convert it to a mixed number: 7/4 = 1ยพ.