Correct Answer - Option 1 :

\(\frac{12}{15}\)
**Logic: **We have to convert the factor into proper numerical value then find the largest number of the above.

For, **"Option1: 12/15".**

⇒ 12/15.

⇒ 4/5.

⇒ 0.8.

For, "Option2: 9/12".

⇒ 9/12.

⇒ 3/4.

⇒ 0.75.

For, "Option3: 11/14".

⇒ 11/14.

⇒ 0.647.

For, "Option4: 5/7".

⇒ 5/7.

⇒ 0.714.

As it can be seen that the value for fraction **11/14** is **0.714** is the smallest among all.

Therefore, the correct answer should be **"**Option3: 11/14".