Select the decimal that is equivalent to
\[\dfrac{45}{54}\].
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
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).
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).
WRONG
To find the decimal equivalent of a fraction, you can divide the numerator (top number) by the denominator (bottom number).
In this case, we have the fraction \(\dfrac{45}{54}\). To divide 45 by 54, you can use long division or a calculator.
45 divided by 54 is equal to 0.8333333333...
So the decimal equivalent of \(\dfrac{45}{54}\) is approximately \(0.\overline{83}\).
Looking at the given choices, the decimal \(0.\overline{83}\) corresponds to choice D.
Therefore, the correct answer is choice D) \(0.8\overline{3}\).