Simplify Fractions

Sometimes, we can simplify fractions by dividing the numerator and the denominator by common factors.

The simplest form is a fraction where the numerator and the denominator do not share a common factor.


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.

reduce

 

 

 

The new fraction is still equivalent to the original fraction.

 Ladder Method for simplify 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

Ladder

 

 

 

 

 

Greatest Common Factor (GCF), is the greatest factor that divides two numbers.

The GCF of 24 and 36 is 2x2x3= 12

GCF

 

 

 

Factors and Multiples

Greatest Common Factor

Least Common Multiple

Prime Factorization Vocabulary

Prime Factors (Ladder Method)

Prime Factors (Tree Method)

Prime Factors

 

 

 

 

 

FA10     Prime_Factors

FA21     Greatest Common Factor (GCF)

FA22     Greatest Common Factor (GCF)

FR05      Reduce_Fractions

Reduce Fractions Writing