Select the decimal that is equivalent to

Question

\[\dfrac{45}{54}\].
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[0.72\]
A
\[0.72\]
(Choice B)

\[0.\overline{72}\]
B

\[0.\overline{72}\]
(Choice C)
\[0.83\]
C
\[0.83\]
(Choice D)
\[0.8\overline{3}\]
D
\[0.8\overline{3}\]
(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. We have:

\[\dfrac{45}{54} = \dfrac{\cancel{9}\cdot5}{\cancel{9}\cdot6} = \dfrac{5}{6}.\]

So the decimal equivalent of $\dfrac{45}{54}$ is $\boxed{0.83}$ (Choice C).

Answer 2

WRONG

Answer 3

I apologize for the mistake. Let's try again.

To convert the fraction $\frac{45}{54}$ to a decimal, we can divide 45 by 54:

\[0.83333333...\]

This decimal repeats the digit 3 indefinitely, so it can be written as $\boxed{0.\overline{83}}$ (Choice D).