To determine the decimal equivalent of the fraction [tex]\(\frac{14}{40}\)[/tex], let’s go through a clear, step-by-step process:
1. Understand the fraction: We start by examining the fraction [tex]\(\frac{14}{40}\)[/tex].
2. Calculate the decimal representation: To convert the fraction to a decimal, we divide the numerator (14) by the denominator (40).
[tex]\[
\frac{14}{40} = 0.35
\][/tex]
3. Match the result with given options: After performing the division, we obtain the decimal [tex]\(0.35\)[/tex].
4. Check the provided options:
- Option (A) is [tex]\(0.28\)[/tex].
- Option (B) is [tex]\(0.\overline{28}\)[/tex] (which means [tex]\(0.282828...\)[/tex]).
- Option (C) is [tex]\(0.376\)[/tex].
- Option (D) is [tex]\(0.3\overline{76}\)[/tex] (which means [tex]\(0.376376...\)[/tex]).
- Option (E) is "None of the above".
Considering all the options, none of the provided answers (A to D) match our calculated decimal [tex]\(0.35\)[/tex]. Therefore, the correct choice is:
(E) None of the above
