Answer :

To determine which decimal is equivalent to the fraction [tex]\(\frac{11}{36}\)[/tex], follow these steps:

1. Understand the fraction: We need to convert the fraction [tex]\(\frac{11}{36}\)[/tex] into its decimal form.

2. Perform the division: To find the decimal equivalent, divide the numerator (11) by the denominator (36).

[tex]\[ 11 \div 36 = 0.3055555555555556 \][/tex]

3. Identify the repeating part: The resultant decimal [tex]\(0.3055555555555556\)[/tex] shows a repeating pattern. The digit "5" repeats indefinitely.

4. Express as a repeating decimal: Therefore, the equivalent repeating decimal for the fraction [tex]\(\frac{11}{36}\)[/tex] can be written as:

[tex]\[ 0.\overline{305} \][/tex]

Thus, the decimal that represents [tex]\(\frac{11}{36}\)[/tex] is [tex]\(0.\overline{305}\)[/tex].