Question

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 1

Answer: 3/5

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