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Multiplying and Dividing Rational Expressions

In this video, we are going to multiply and divide rational expressions.

We can start by either directly perform the operation or reduce across.

For example: \frac{15}{4}\times\frac{32}{20}

First, reduce the numbers that are across from each other

Further reduce, which can be done vertically with the 8 and the 4


And we have

With variables, it is the same concept

Factor the expressions if necessary

Reduce diagonally

Multiple across

Division is similar to multiplication.
Remember to Keep, Change, Flip

For example: \frac{x+8}{3x}\div\frac{4x+32}{15x^4}

Keep the first fraction, change the operation from division to multiplication, and flip the second fraction

Factor if necessary

Reduce expressions

Multiply across