What is the 30th digit to the right of the decimal point in the decima

This is a question where you need to convert a rational number to a recurring decimal.

Any rational number where the denominator consists of a power of 2 or a power of 5 or a combination of these two powers, will always give a terminating decimal. Otherwise, a rational number will give a recurring decimal.

Based on this, we can say that \(\frac{3}{11}\) will definitely give a recurring decimal.

\(\frac{3}{11}\) = 0.272727……

The period of this recurring decimal is 2 i.e. there are 2 distinct digits which keep recurring. The first digit to the right of the decimal point is 2, the second is 7, the third is 2, the fourth is 7 and so on.
Following this pattern, we can say that the 30th digit will be 7. The correct answer option is E.

Hope this helps!