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

 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:

 3/5

the solution is 12x-6y