Select the decimal that is equivalent to
\[\dfrac{7}{8}\].
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[0.767\]
A
\[0.767\]
(Choice B)
\[0.\overline{767}\]
B
\[0.\overline{767}\]
(Choice C)
\[0.875\]
C
\[0.875\]
(Choice D)
\[0.8\overline{75}\]
D
\[0.8\overline{75}\]
(Choice E) None of the above
E
None of the above
We can convert the fraction $\frac{7}{8}$ to a decimal by long division.
\[ \begin{array}{c|c@{}c@{}c@{}c}
\multicolumn{2}{r}{} &0&. & \\
\cline{2-5}
8 & 7&. & & \\
\multicolumn{2}{r}{6} &1 \\
\cline{2-3}
\multicolumn{2}{r}{} & 1&7 \\
\multicolumn{2}{r}{} & 1&6 \\
\cline{4-5}
\multicolumn{2}{r}{} & & 4 &0 \\
\end{array} \]
Therefore, $\frac{7}{8}=0.875$. The equivalent decimal is $\boxed{\text{(C)}\ 0.875}$.