If m=(x)/(y) and n=(1)/(xy), what is (m)/(n) 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!

Question

If m=
`(x)/(y)` and n=
`(1)/(xy)`, what is
`(m)/(n)` 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!

Answer 1

B. x^2

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