Adding, Subtracting, Multiplying Dividing Rational Expressions

Alison has factored the numerators and denominators and multiplied across.  She must be…

• Adding or Subtracting Rational Expressions

• Multiplying Rational Expressions

• Dividing Rational Expressions

Julie has factored the numerators and denominators and multiplied by the reciprocal (keep it, flip it, multiply it).  She must be…

• Adding or Subtracting Rational Expressions

• Multiplying Rational Expressions

• Dividing Rational Expressions

Simplify by cancelling

• 1

• -1

• Can't be simplified

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.

Simplify 

• (x+7)/(x-4)

• -3/4

• (x+3)/(x+4)

• (x+3)/(x-4)

Multiply and Simplify

• (n-10)/8n+56

• (n-10)(n+7)/8n+56

• (n-10)/8

• (n+10)/8

Divide and Simplify

• A

• B

• C

• D

To simplify a rational expression, I should

• Eliminate common terms in the numerator and denominator.

• Combine like terms in the numerator and denominator.

• Factor the numerator and denominator and eliminate common factors.

• Find an LCD.

Perform the operation

• A

• B

• C

• D

Perform the operation

• A

• B

• C

• D