Multiply fractions: (3xyz^2)/(6y^4) by (2y)/(xz^4)

grpriest

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Jun 12, 2006
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4
Problem:

Multiply 3xyz^2/6y^4 by 2y/xz^4

a. 1/y^2z^2
b. x^2/y^2z^2
c. x^2/3y^2z^2
d. 1/3y^2z^2
 
To multiply fractions, multiply the numerators by the numerators and the denominators by the denominators, cancelling between numerators and denominators where you can. For instance, in the following:

. . . . .\(\displaystyle \L \left(\frac{6x}{5y}\right)\,\left(\frac{10y^2}{3xz}\right)\)

...you would start by cancelling the 3x from the 6x and the 3xz, and cancelling the 5y from the 5y and the 10y<sup>2</sup>. Then you've multiply across to get:

. . . . .\(\displaystyle \L \frac{(2)(2y)}{(1)(z)}\, =\, \frac{4y}{z}\)

Follow this procedure with your exercise.

If you get stuck, please reply showing what you have tried and how far you have gotten. Thank you.

Eliz.
 
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