Adding and Subtracting Fractions with Common Denominators Practice

Add the following rational expression.

• (7x+3)  /  (x-5)(x+8)

• (2x+3)  /  (x-5)(x+8)

• (2x+4)  /  (x-5)(x+8)

• (7x+4)  /  (x-5)(x+8)

When adding and subtracting rational expressions, my first step should be to:

• Combine like terms in the numerators.

• Determine a Least Common Denominator.

• Factor all of the numerators and all of the denominators.

• Change the operator to multiplication and reciprocate the second fraction.

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• 
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Identify the LCD.

• x²(x - 2)

• x(x - 2)

• x

• (x - 2)

Solve by using the LCD.

• x = 1

• x = -3

• x = 0 

• x = 3

When adding and subtracting fractions, which value needs to be the same in all values being added/subtracted?

• Numerator

• Denominator

What is the process of making two fractions with unlike denominators able to be added or subtracted called?

• Finding the least common multiple or least common denominator

• Addition

• Multiplication

• Reverse multiplication

• 9/7

• 2/3

• 3/2

• 7/9

What is the first step of adding or subtracting two fractions?

• Checking if the numerators are the same

• Checking if the denominators are the same or different

• Checking that the fractions are equal

• Adding or subtracting