Simplify any fraction to its lowest terms with our easy-to-use calculator. Perfect for students, teachers, and anyone working with fractions in daily life.
Enter the fraction you want to simplify
12/18
2/3
6
0.6667
66.67%
Simplifying fractions is a fundamental math skill that reduces fractions to their lowest terms. Our calculator makes this process easy by automatically finding the greatest common divisor (GCD) and simplifying the fraction.
To simplify a fraction, follow these steps:
The Greatest Common Divisor (GCD) is the largest positive integer that divides both numbers without leaving a remainder. It's the key to simplifying fractions.
The factors of 12 are: 1, 2, 3, 4, 6, 12. The factors of 18 are: 1, 2, 3, 6, 9, 18. The greatest common factor is 6.
| Original Fraction | Simplified | GCD |
|---|---|---|
| 6/8 | 3/4 | 2 |
| 15/20 | 3/4 | 5 |
| 24/36 | 2/3 | 12 |
| 50/100 | 1/2 | 50 |
| 18/27 | 2/3 | 9 |
Easier Calculations: Simplified fractions are easier to work with in mathematical operations.
Clearer Understanding: Reduced fractions provide a clearer picture of the actual value.
Standard Form: Simplified fractions are the standard way to express fractional values.
Pattern Recognition: Simplified fractions help identify mathematical patterns and relationships.
Reduced Errors: Working with smaller numbers reduces the chance of calculation errors.
Academic Requirements: Many math curricula require answers in simplified form.
Once you've simplified your fractions, you might want to perform calculations with them. Our comprehensive Fraction Calculator supports addition, subtraction, multiplication, and division of fractions with step-by-step solutions.
For converting between different number formats, try our Decimal to Fraction Converter and Fraction to Decimal Converter for seamless conversion between decimal and fractional representations.
To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by this GCD. Our calculator does this automatically and shows you the steps.
The GCD (Greatest Common Divisor) is the largest number that divides both the numerator and denominator evenly. It's crucial for simplification because dividing by the GCD gives you the fraction in its lowest terms.
Not all fractions can be simplified. If the GCD of the numerator and denominator is 1, the fraction is already in its simplest form. For example, 3/7 cannot be simplified further.
If your fraction is already in its simplest form, our calculator will show that the GCD is 1 and the simplified fraction is the same as the original fraction.
A fraction is in its simplest form when the GCD of the numerator and denominator is 1. This means no number (other than 1) divides both numbers evenly.
Yes, improper fractions can be simplified using the same method. Find the GCD of the numerator and denominator, then divide both by this GCD to get the simplified improper fraction.
Simplifying and reducing fractions mean the same thing - both refer to the process of expressing a fraction in its lowest terms by dividing both numerator and denominator by their GCD.
Simplified fractions are easier to work with because they have smaller numbers. This makes addition, subtraction, multiplication, and division operations faster and less prone to errors.