Question

Which expression is equivalent to the following complex fraction?

Answer 1

Answer:

Hence, the complex fraction is equal to

[-2y + 5x]/[3x - 2y] that is,

[-2y + 5x] divided by [3x - 2y]

Step-by-step explanation:

Complete Question

Which expression is equal to the complex fraction

[-2/x + 5/y] divided by [3/y - 2/x]

We first take the LCM of each of these

[-2/x + 5/y] = [(-2y + 5x)/xy]

[3/y - 2/x] = [(3x - 2y)/xy]

[-2/x + 5/y] ÷ [3/y - 2/x] becomes

[(-2y + 5x)/xy] ÷ [(3x - 2y)/xy]

= [(-2y + 5x)/xy] × [xy/(3x - 2y)]

= [-2y + 5x]/[3x - 2y]

Hope this Helps!!