# Simplify Fractions

To reduce a fraction, we must divide both the numerator and denominator by a number that goes into them both evenly.

4÷4=1

8÷4=2

4/8 reduced by 4 is 1/2

### Reduce Fractions to lowest terms

A fraction is in lowest terms when the numerator and denominator have no common factor other than 1.

In order to work with fractions efficiently, it is important to reduce the fraction to lowest terms.

To reduce do the prime factorization. Write the numerator and denominator as a product of prime factors  and divide by the common factors.

The new fraction is still equivalent to the original fraction.

### Ladder Method for simplifying fractions

•        Write numerator and denominator on one line

•        Draw the L shape

•        Divide out common prime numbers (starting with the smallest)

•        Simplified fraction is in the bottom

### Greatest Common Factor (GCF)

Greatest Common Factor is the greatest factor that divides two numbers.

The GCF of 24 and 36 is 2 x 2 x 3= 12

Greatest Common Factor (GCF)

Simplify a fraction using the GCF

Simplify Fractions

Find the Prime Factors

Simplify Fractions Writing

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Greatest Common Factor (GCF)

Simplify a fraction using GCF

Simplify  Fractions

Find The Prime Factors