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Select the decimal that is equivalent to [tex]\frac{14}{40}[/tex].

Choose 1 answer:
A. 0.28
B. [tex]0 . \overline{28}[/tex]
C. 0.376
D. [tex]0.3 \overline{76}[/tex]
E. None of the above

Sagot :

GinnyAnsweridn
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
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