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:

Answer: 2/3