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If m=[tex]\frac{x}{y}[/tex] and n=[tex]\frac{1}{xy}[/tex], what is [tex]\frac{m}{n}[/tex] in terms of x and y?

A. y^2
B. x^2
C. 1/x^2
D. 1/y^2
-Please explain the process. Thanks!

Respuesta :

Answer:

B. x^2

Step-by-step explanation:

If m = x/y and

n = 1/xy

then

m/n = (x/y)/(1/xy)

You can simplify this complex fraction (fraction over a fraction) with the method Keep-Change-Flip. It works!

KEEP x/y

CHANGE ÷ to ×

FLIP 1/xy over to be xy/1

See image.

x/y • xy/1

= x^2

Ver imagen lpina68

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