Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?

A. x = 4, y = 8
B. x = 4, y = 4
C. x = 2, y = 4
D. x = 8, y = 4

Explanation:

3 1/x * y 2/5 = 13¾

=> (3x + 1) / x + (5y + 1) / 2 += 55 / 4
only choice (4) i.e x = 8 and y = 4 satisfies the given equation.
3 (1/8) * 4 (2/5) = (25 / 8 ) * (22 / 5) = 55/4 = 13¾