Which expression is equivalent to 4/9÷2/3? a) 4/9·2/3 b) 4/9·3/2 c) 9/4·2/3 d) 9/4·3/2

The Answer is b) 4/9·3/2 

Simplify the following:
(4/9)/(2/3)

Multiply the numerator by the reciprocal of the denominator, (4/9)/(2/3) = 4/9×3/2:
(4×3)/(9×2)

3/9 = 3/(3×3) = 1/3:
4/(3×2)

4/2 = (2×2)/2 = 2:
  2/3