Questions: Write 51/22 as a decimal.

Write 51/22 as a decimal.
Transcript text: Write $\frac{51}{22}$ as a decimal.
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Solution

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Solution Steps

Step 1: Convert the fraction to a decimal

To convert \(\frac{51}{22}\) to a decimal, perform the division \(51 \div 22\).

\[ 51 \div 22 = 2.318181818\ldots \]

The decimal repeats with the pattern "18" after the initial "2.31".

Step 2: Identify the repeating pattern

The decimal representation of \(\frac{51}{22}\) is \(2.318181818\ldots\), where "18" repeats indefinitely. This can be written as \(2.3\overline{18}\).

Step 3: Match the correct option

The correct representation of \(\frac{51}{22}\) as a decimal is \(2.3\overline{18}\), which corresponds to the first option.

Final Answer

The answer is \(\boxed{2.3\overline{18}}\).

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