Simplifying a fraction means making it as small as possible while keeping the same value. A simplified fraction uses the smallest possible whole numbers for the numerator and denominator.
Think of simplifying like reducing a recipe. You use fewer ingredients, but the taste stays the same. The fraction's value doesn't change when you simplify it.
The Greatest Common Factor (GCF) is the largest number that divides evenly into both the numerator and the denominator.
The number 1 is always a common factor, but it won't help simplify the fraction. Look for factors greater than 1.
Follow these three steps to simplify any fraction correctly.
Always check your work! Multiply the simplified fraction's numerator and denominator by the GCF. You should get back to your original fraction.
Some fractions need special attention when simplifying.
When the numerator and denominator are the same number, the fraction always equals 1. When the numerator is larger, you have an improper fraction, which can be simplified or converted to a mixed number.
Simplified fractions are easier to compare, add, subtract, and use in real-life situations.
Mathematicians always write fractions in simplest form. It's like cleaning up your work so others can understand it easily.