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 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.

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

Step 5. Multiply the remaining factors.

Let's look at an example from the video:

Reduce or simplify 108

144

Reducing Improper Fractions

Definition of an Improper Fraction: A fraction that has a numerator larger or equal to the denominator is called an improper fraction.

You can also think of an improper fraction as a fraction with a value greater than one.

You reduce an improper fraction the same way you reduce a proper fraction

For example: 144

108

Make a list of the prime numbers for your numerator and denominators

Cross out common factors

Multiply remaining factors

You can also convert an improper fraction to a mixed number.

Step 1. Divide the numerator by the denominator.

Step 2. When you divide the numerator by the denominator you will get a whole number. Write down the whole number.

Step 3. Write any remainder over the denominator.

Example:

Convert 20/6 to a mixed number.

Step 1. 20 ÷ 6 = 3 with a remainder of 2

Step 2. Write down the whole number = 3

Step 3. Write the remainder of 2 over the denominator 2/6