((x)/(5y)-(1)/(4))/((3)/(4y)-(2)/(x))

how do i solve this
in order of operations by Level 1 User (680 points)

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1 Answer

 x            1

----  -    -------

5y           4

-----------------

 3         2

---   -  ----

4y        x

find common denominators for both fractions:

4x - 5y

---------

20y

------------------

3x - 8y

---------

4xy

multiply by the reciprical of the bottom:

4x - 5y     4xy

---------  * ----------

 20y         3x - 8y

reduce the fractions by 4y:

(4x - 5y) x

---------------

5(3x - 8y)

multiply out the top and bottom:

4x^2 - 5xy

-------------

15x - 40y

by Level 10 User (55.7k points)

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