Question

Which expression is equivalent to the following complex fraction?

StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction

Answer 1

a

Explanation:

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

Answer 2

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

Explanation:

If we write this sentence, we have:

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

If we do LCM in the denominators of each fraction, we have:

((-2y+5x)/xy) / ((3x - 2y)/xy)

We can cut the 'xy' in the numerator and denominator of the whole fraction:

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

The final expression we have is (-2y+5x) / (3x - 2y)