christofferent christofferent
  • 21-05-2019
  • Mathematics
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Which expression is equivalent to the following complex fraction?

Which expression is equivalent to the following complex fraction class=

Respuesta :

absor201
absor201 absor201
  • 21-05-2019

Answer:

Second Option: =  2(y-2x)/(3y-5x)

Step-by-step explanation:

The expression is:

=(2/x-4/y)/((-5)/y+3/x)

Taking LCM in both, numerator and denominator

=  ((2y-4x)/xy)/((-5x+3y)/xy)

Since we know,  

(a/b)/(c/d)=ad/bc

Applying the rule to the given fraction:

=(2y-4x)(xy)/(-5x+3y)(xy)  

xy will be cancelled and we will be left with:

=(2y-4x)/(-5x+3y)

Taking 2 as common:

=  2(y-2x)/(3y-5x)

So the second option is the correct answer. ..

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