Question

Which expression is equivalent to the following complex fraction?

Answer 1

Answer:

  $\dfrac{2(y-2x)}{3y-5x}$

Step-by-step explanation:

When you simplify the numerator and the denominator, you find they both have denominators of xy. So, the ratio of those is the ratio of their numerators.

  $\dfrac{\dfrac{2}{x}-\dfrac{4}{y}}{\dfrac{-5}{y}+\dfrac{3}{x}}=\dfrac{\left(\dfrac{2y-4x}{xy}\right)}{\left(\dfrac{-5x+3y}{xy}\right)}=\dfrac{2y-4x}{-5x+3y}\\\\=\boxed{\dfrac{2(y-2x)}{3y-5x}}$

Answer 2

Answer:

B

Step-by-step explanation:

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