Questions: Which is the same as 2/3 ? 0.6̅ 0.23 2.3 0.6

Which is the same as 2/3 ?
0.6̅
0.23
2.3
0.6
Transcript text: Which is the same as $\frac{2}{3}$ ? $0 . \overline{6}$ 0.23 2.3 0.6
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem is asking which of the given options is equivalent to the fraction \(\frac{2}{3}\).

Step 2: Convert \(\frac{2}{3}\) to Decimal

To determine which option is equivalent to \(\frac{2}{3}\), we need to convert \(\frac{2}{3}\) into a decimal.

\[ \frac{2}{3} = 0.6666\ldots = 0.\overline{6} \]

Step 3: Compare with Given Options

Now, we compare the decimal representation of \(\frac{2}{3}\) with the given options:

  • \(0.\overline{6}\) is equivalent to \(0.6666\ldots\), which matches \(\frac{2}{3}\).
  • \(0.23\) does not match.
  • \(2.3\) does not match.
  • \(0.6\) does not match.

Final Answer

The option that is equivalent to \(\frac{2}{3}\) is \(0.\overline{6}\).

\[ \boxed{0.\overline{6}} \]

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