Select the decimal that is equivalent to
\[\dfrac{63}{75}\].
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[0.84\]
A
\[0.84\]
(Choice B)
\[0.\overline{84}\]
B
\[0.\overline{84}\]
(Choice C)
\[0.92\]
C
\[0.92\]
(Choice D)
\[0.\overline{92}\]
D
\[0.\overline{92}\]
(Choice E) None of the above
E
None of the above
To find the decimal equivalent of \[\frac{63}{75},\] we can divide 63 by 75:
\[
\begin{array}{c|ccc}
\multicolumn{2}{r}{} & 8 & \multicolumn{1}{r}{2} \\
\cline{2-4}
75 & 6 & 3 & \big) \multicolumn{1}{|r}{0} \\
\multicolumn{2}{r}{} & 6 & 0 \\
\multicolumn{2}{r}{} & 6 & 0 \\
\cline{3-4}
\multicolumn{2}{r}{} & & 0 \\
\end{array}
\]Therefore, \[\frac{63}{75}=0.84,\] so the correct answer is $\boxed{\text{(A)}\ 0.84}$.