Aim: How do we reduce/simplify complex fractions?

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Aim How do we reduce/simplify complex
fractions?

• Do Now

Simplify
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Dividing Rational Expressions w/Factoring
Invert 2nd rational and change to multiplication
Factor cross cancel
Multiply and simplify
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Complex Fractions - 1
. . . Contain one or more fractions in the
numerator, the denominator or both.
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Complex Rational Expressions - 2
. . . Contains one or more rational expression in
it numerator, its denominator or both.
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Complex Rational Expressions - 3
. . . Contains one or more rational expression in
it numerator, its denominator or both.
Trying the same method as with the previous
complex fraction
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Complex Rational Expressions - 3 (cont)
. . . Contains one or more rational expression in
it numerator, its denominator or both.
Denominators - 16, 1, 8, and 2
LCD 16
Method 1 - Find the LCD of the entire expression
and multiply the entire complex expression by
LCD/LCD.
16/16
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Complex Rational Expressions - 3 (cont)
Method 1 - Find the LCD of the entire expression
and multiply by LCD/LCD.
16/16
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Complex Rational Expressions - 3 (cont)
Method 2 - Change both numerator and denominator
to single fractions. Then divide and simplify.
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Complex Rational Expressions - 3 (cont)
Method 2 - Change both numerator and denominator
to single fractions. Then divide and simplify.
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Complex Rational Expressions
. . . Contains one or more rational expression in
it numerator, its denominator or both.
HOW?
Method 1 Find the LCD for all fractions and
multiply the complex fraction by 1 in the form
of
Method 2 Change the numerator to a single
fraction change the denominator to a single
fraction and then divide the numerator by the
denominator.
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Model Problems
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Model Problems
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Model Problems
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Model Problems
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Model Problems
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Model Problems