An expression is shown. 2/5:4/6. Which of the following could be the value of the expression? A:12/36. B:3/4. C:1/3. D:3. E:2/6. F:4/27

Answer: 3/5

Step-by-step explanation:

Simplify the following:

(2/5) / (4/6)

Multiply the numerator by the reciprocal of the denominator, (2/5) / (4/6) = 2/5*6/4:

(2*6) / (5*4)

The gcd of 6 and 4 is 2, so (2*6) / (5*4) = (2 (2*3)) / (5 (2*2)) = 2/2 * (2*3) / (5*2) = (2*3) / (5*2):

(2*3) / (5*2)

(2*3) / (5*2) = 2/2*3/5 = 3/5:

Answer: 3/5