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Reducing fractions | Factor Tree |
Step 1. Set up a factor tree for your numerator and your denominator
Step 2. Underline the prime numbers on both factor trees
Step 3. Make a list of the prime numbers for your numerator and your denominator and cross out common factors
Step 4. Multiply any remaining factors. In this example you multiply 2 * 2 = 4
How to reduce a fraction using a factor tree
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
Mixed number = 3 2/6