SamiiRae101 SamiiRae101
  • 21-09-2016
  • Mathematics
contestada

Are the following expressions equivalent? Show work.

3xy^2 / 4y and 6xy^2 / 8xy

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potatoe2502
potatoe2502 potatoe2502
  • 22-09-2016
No, they are not. When they are simplified to find if they are equivalent or not, the numerator can be divided out like so:

3xy (3xy)             6xy (6xy)
-----------             -------------
    4y                        8xy

Then the cross-cancel method can be used to simplify the two fractions, which later simplifies to:

3x (3xy)                3 (6xy)
----------                 ---------
     4                           4

Hence, they are not equivalent to each other.
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