Final answer:
Options B (5/6 x 3/4) and C (3/2 x 3/4) offer products greater than 3/5, with option C yielding the greatest product among the choices.
Step-by-step explanation:
The question asks which product is greater than 3/5. Let's calculate each option.
- A: 1/2 x 3/4 = 3/8 which is less than 3/5
- B: 5/6 x 3/4 = 15/24, which simplifies to 5/8, and this is greater than 3/5
- C: 3/2 x 3/4 = 9/8, which is greater than 1, hence greater than 3/5
- D: 2/5 x 3/4 = 6/20, which simplifies to 3/10, and this is less than 3/5
Options B and C provide products greater than 3/5, but the greatest product among all the options is given by option C, which is 3/2 x 3/4.