Adding Rational Functions

Adding Rational Functions

Goal: Simplify rational functions with addition and subtraction.

​Common Denominator

The main thing to remember here is that when you are adding and subtracting fractions of any kind you're going to need to have common denominators!!

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Multiple Choice

To add and subtract fractions the terms need to have a common what?

• Numerator

• Denominator

• Coefficient

• Constant

​Steps:

• First, find the least common multiple, LCM, of the denominators.

• ​Second, multiply each term by the factors needed to produce the LCM in the denominator.

• Third, simplify the numerator if possible.​

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Multiple Choice

The math concept of least common multiple is abbreviated to what?

• LCM

• LED

• GCF

• LCD

​Example 1:

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​Example 2:

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Multiple Choice

What is the common denominator for: $$\frac{9}{y}-\frac{n}{2}$$  

• 2y

• 9n

• 18

• ny

Multiple Choice

What is the common denominator for: $$\frac{7}{b^2}-\frac{3}{c^2}$$  

• $$b^4c^4$$  

• bc

• $$b^2c^2$$  

• 4bc

Multiple Choice

Simplify: $$\frac{6n}{5}-\left(2n-5\right)$$  

• $$\frac{-4n+25}{5}$$  

• $$\frac{-4n-25}{5}$$  

• $$\frac{16n-25}{5}$$  

• $$\frac{4n-25}{5}$$