SOLUTION: Please show me how to work this difference of 2 rational expressions, reduced to its lowest terms. y / 7x - x-2 / 2y or: Y divided by 7x minus x-2 divided by 2y. Your help

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please show me how to work this difference of 2 rational expressions, reduced to its lowest terms. y / 7x - x-2 / 2y or: Y divided by 7x minus x-2 divided by 2y. Your help      Log On


   



Question 185925: Please show me how to work this difference of 2 rational expressions, reduced to its lowest terms.
y / 7x - x-2 / 2y
or: Y divided by 7x minus x-2 divided by 2y.
Your help is greatly appreciated!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please show me how to work this difference of 2 rational expressions, reduced to its lowest terms.
[y / 7x] - [(x-2) / 2y]

If you are adding or subtracting fractions you need a least common denominator:
You lcd is 14xy
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Rewrite each fraction with the lcd as its denominator:
[2y^2/lcd] - [7x(x-2)/lcd]
Now you can subtract to get:
[2y^2 - 7x(x-2)]/lcd
Now simplify the numerator:
[2y^2 - 7x^2 + 14x]/[14xy]
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Cheers,
Stan H.