Multiplying Adding Subtracting and Dividing Rationals

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.

My first step will be to change the operator to multiplication and reciprocate the second fraction when...

• Adding

• Subtracting

• Multiplying

• Dividing

Dividing rational expressions -

• to add two rational expressions, make sure the denominators are the same

• to divide two rational expressions, multiply by the reciprocal of the division

• an equation that contains rational expressions

Multiplying rational expressions-

• to multiply two rational expressions, multiply the numerators and the denominators

• dividing both the numerator and the denominator by their greatest common factor

• the products of numbers or expressions diagonally across from each other in a proportion

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

So when we divide we can start by...Choose all that may apply.

• Changing the division symbol to multiplication.

• Taking the reciprocal.

• Factoring each expression.

• A.
• B.
• C.
• D.

Simplify each expression.

• A

• B

• C

• D

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