To determine which decimal value is equivalent to the fraction [tex]\(\frac{11}{36}\)[/tex], we need to assess the decimal representations carefully. Here's the step-by-step process:
1. Convert the Fraction to a Decimal:
[tex]\[
\frac{11}{36} \approx 0.305555\ldots
\][/tex]
2. Compare the given decimal options to see if any match [tex]\(\frac{11}{36}\)[/tex]:
- Option (A): 0.28
- 0.28 is a terminating decimal.
- 0.28 does not match 0.305555... since it is smaller.
- Option (B): [tex]\(0.2 \overline{8}\)[/tex]
- [tex]\(0.2 \overline{8}\)[/tex] means 0.288888... which is 0.2 with 8 repeating.
- 0.288888... does not match 0.305555... as it is smaller.
- Option (C): 0.37
- 0.37 is a terminating decimal.
- 0.37 does not match 0.305555... since it is larger.
- Option (D): [tex]\(0.\overline{37}\)[/tex]
- [tex]\(0.\overline{37}\)[/tex] means 0.373737... which is 37 repeating.
- 0.373737... does not match 0.305555... as it is larger.
3. None of the above:
- None of the provided options match the decimal [tex]\(\frac{11}{36} \approx 0.305555...\)[/tex] exactly.
Therefore, the answer is:
(E) None of the above
