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The Rational Expressions Unit Project

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Delaney McAdams

on 30 April 2014

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Transcript of The Rational Expressions Unit Project

Multiplying and Dividing
Rational Expressions

Solving Rational
Equations

Simplifying
Complex
Fractions

PLATFORMS
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The Rational Expressions Unit Project
by Delaney McAdams
Works Cited
Description
Example #1
Example #2
Description
Example #1
Example #2
I <3 Math
Description
Example #1
Example #2
Multiplying and dividing rational expressions is one way to help simplify expressions. Both involve multiplying expressions together straight across. Here are the steps to solve both ways:

To Multiply a rational expression:
1. Factor all numerators and denominators.
2. Cancel all common factors.
3. Either multiply the denominators and numerators together or leave the solution in factored form.

To Divide a rational expression:
1. Flip the denominator (multiply by reciprocal)
2. Follow steps 1-3 of multiplying rational expressions


14c^2d 35cd^3 24mn
------- / ------ = ------
9m^3n^2 24mn 35cd^3
336c^2dmn
16c
----------- =
----------

315m^3n^2cd^3
15d^2m^2n
2a^2 3bc^2
----- ------
5b^2c 8a^3
6a^2bc^2
3c
---------- =
------

40b^2ca^3
20ab
Solving rational equations takes one rational equation and transforms it into a linear equation. Here are the steps to solve rational equations:

Solving rational equations:
1. Simplify by removing fractions
2. Solve by substituting, adding, subtracting or whatever else applies


Simplifying complex fractions takes all of the elements of simplifying a fraction and rolls into one big fraction. Here are the steps to solving them:

To Simplify a complex fraction:
1. Find the least common denominator of all of the fractions within the problem
2. Multiply both the numerator and the denominator of the complex fraction by the LCD of the complex fraction from step 1.
3. Simplify whenever possible.


4 4 4
------- ---- ---- 4 4
16
3 3 (2) = 3-6 = -3 = -- -- =
---

-- - -- --- -- 1 -3
-3
4 2 (2) 4 4
www.wtamu.;d\edu/academic/anns/mps/math/mathlab/int_algebra/index.htm

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