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Published byLogan Garrison Modified over 6 years ago

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**9.1 Multiplying and Dividing Rational Expressions**

Complex fractions

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**Definition of a Rational Expression**

In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions.

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**Since they are fractions**

Simplify a Rational Expression. Divide the same expression from numerator and denominator

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**Since they are fractions**

Simplify a Rational Expression. Divide the same expression from numerator and denominator

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**Since they are fractions**

There are numbers that will not work in the Rational expression. They are -7, 3 and -3. Why?

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**Since they are fractions**

Factor out the denominator. Can you see why -7, 3 and -3 do not work as answers?

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**Since they are fractions**

Factor out the denominator. -7, 3 and -3 do not work as answers because they make the denominator zero. They are called Excluded Values.

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Simplify Assume the denominator cannot equal zero.

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**Simplify Assume the denominator cannot equal zero.**

Factor out a negative one to move things around

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Simplify Assume the denominator cannot equal zero.

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Simplify Assume the denominator cannot equal zero.

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**Multiply the fractions**

Reduce to simplest form

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**Multiply the fractions**

Reduce to simplest form. Multiply straight across

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**Multiply the fractions**

Reduce to simplest form

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**Multiply the fractions**

Reduce to simplest form.

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**Multiply the fractions**

Reduce before multiply.

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**Multiply the fractions**

Reduce before multiply.

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**Multiply the fractions**

Reduce before multiply.

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**Multiply the fractions**

Reduce before multiply.

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**Multiply the fractions**

Reduce before multiply.

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**Multiply the fractions**

Reduce before multiply.

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**Multiply the fractions**

Reduce before multiply.

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**What is the difference of Division and Multiply of fractions?**

Do you remember?

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**What is the difference of Division and Multiply of fractions?**

When dividing you multiply by the inverse of the second fraction.

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**Divide the Rational Expressions**

You can only Reduce when Multiplying

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**Divide the Rational Expressions**

You can only Reduce when Multiplying

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**Definition of Complex fraction**

A fraction with fractions in the numerator or denominator.

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**How to simplify a Complex fraction**

Remember fractions are division statements.

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**Simplify the Complex fraction**

Remember fractions are division statements.

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**Simplify the Complex fraction**

Remember fractions are division statements.

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**Simplify the Complex fraction**

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**Simplify the Complex fraction**

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**Simplify the Complex fraction**

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Homework Page 476 – 477 # 15,19, 23, 27, 31, 35, 37, 41

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Homework Page 476 – 477 # 16,20, 24, 28, 32, 36, 38, 40

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