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Many times after adding fractions,multiplying fractions, or dividing fractions, you are left with a fraction that needs to be simplified or reduced.

This method of simplifying a fraction involves using a factor tree in order to reduce the fraction.

Here are the steps for reducing or simplying a fraction using a factor tree.

A factor tree is a diagram that helps you find the prime factors of a number. You find the factor of a number, and then the factors of that number until you can’t factor anymore. The end result of the factor tree is all the prime factors of the original number.

Step 1. Make a factor tree for the top number ( numerator) and the bottom number ( denominator).

Step 2. Underline prime numbers on your factor tree.

Step 3. Make a list of the prime numbers for your numerator and denominator.

Step 4. Cancel common factors found on the numerator and the denominator

Step 1. Set up a factor tree for your numerator and your denominator Your numerator is the top number of your fraction and denominator is the bottom number

Step 2. Underline the prime numbers on both factor trees. Prime numbers are only divisible by itself and 1

Step 3. Make a list of the prime numbers for your numerator and your denominator

Step 5. Multiply any remaining factors found in the numerator and denominator.

Step 4. Cross out common factors.There is not a 5 or 3 on the numerator so they are not crossed out.