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].
