Fraction Simplifier
Result
12/18
Original
2/3
Simplified
0.666667
Decimal
GCD: 6 · Proper fraction
What is a Fraction Simplifier?
A fraction simplifier reduces fractions to their lowest terms by dividing both the numerator and denominator by their Greatest Common Divisor (GCD). It also converts fractions to decimal form and mixed number notation, making them easier to understand and use in everyday calculations.
How to Use
- Enter the numerator (top number) in the first field.
- Enter the denominator (bottom number) in the second field.
- The calculator instantly shows the simplified fraction, decimal equivalent, GCD used, and mixed number form if applicable.
Frequently Asked Questions
What does simplifying a fraction mean?
Simplifying (reducing) a fraction means dividing both numerator and denominator by their Greatest Common Divisor (GCD) until no common factor remains. For example, 12/18 simplifies to 2/3 (GCD=6). The simplified fraction has the same value but smaller numbers.
What is a mixed number?
A mixed number combines a whole number and a proper fraction: e.g., 7/4 = 1¾. Mixed numbers are easier to visualize (1¾ cups vs 7/4 cups) but improper fractions are easier to calculate with.
How do you add fractions with different denominators?
Find the Least Common Denominator (LCD), convert both fractions to that denominator, then add numerators. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12. This calculator handles the LCD automatically.
What is an improper fraction?
An improper fraction has a numerator larger than its denominator (e.g., 7/4). It's equal to a value greater than 1. Improper fractions are mathematically valid and often preferred in algebra and engineering calculations.
How It Works
Divide both numerator and denominator by their Greatest Common Divisor (GCD) to get the fraction in its simplest form.