Select the decimal that is equivalent to

Question

\[\dfrac{101}{500}\].
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[0.202\]
A
\[0.202\]
(Choice B)

\[0.\overline{202}\]
B

\[0.\overline{202}\]
(Choice C)
\[0.272\]
C
\[0.272\]
(Choice D)

\[0.2\overline{72}\]
D

\[0.2\overline{72}\]
(Choice E) None of the above
E
None of the above

Answer 1

To convert a fraction to a decimal, we divide the numerator by the denominator. So, $\frac{101}{500}$ is equal to $0.202$. Therefore, the answer is $\boxed{\text{(A)} \; 0.202}$.

Answer 2

Select the decimal that is equivalent to

\[\dfrac{29}{30}\].
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[0.96\]
A
\[0.96\]
(Choice B)
\[0.9\overline{6}\]
B
\[0.9\overline{6}\]
(Choice C)
\[0.98\]
C
\[0.98\]
(Choice D)

\[0.\overline{98}\]
D

\[0.\overline{98}\]
(Choice E) None of the above
E
None of the above

Answer 3

To convert a fraction to a decimal, we divide the numerator by the denominator. So, $\frac{29}{30}$ is equal to $0.966666...$. This is a repeating decimal because the numerator is not divisible by $10$ (the denominator's largest factor). The repeating pattern is $66$, so the decimal equivalent is $\boxed{\text{(B)} \; 0.9\overline{6}}$.

Answer 4

Select the decimal that is equivalent to

\[\dfrac{27}{32}\].
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[0.76418\]
A
\[0.76418\]
(Choice B)

\[0.764\overline{18}\]
B

\[0.764\overline{18}\]
(Choice C)
\[0.84375\]
C
\[0.84375\]
(Choice D)

\[0.84\overline{375}\]
D

\[0.84\overline{375}\]
(Choice E) None of the above
E
None of the above

Answer 5

To convert a fraction to a decimal, we divide the numerator by the denominator. So, $\frac{27}{32}$ is equal to $0.84375$. Therefore, the answer is $\boxed{\text{(C)} \; 0.84375}$.