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Question
What is $\frac{4}{15}$ written as a recurring decimal using dot notation?

Asked By VelvetRain82 at

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Edwin

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#### Solution By Steps

***Step 1: Perform Long Division***

To convert \(\frac{4}{15}\) to a decimal, perform long division of 4 by 15.

***Step 2: Identify the Recurring Part***

During the division, notice that the decimal repeats itself. Specifically, 4 divided by 15 results in 0.2666... where '6' repeats indefinitely.

***Step 3: Use Dot Notation***

To represent the recurring part, place a dot above the repeating digit. Here, the digit '6' repeats, so the decimal is written as \(0.2\dot{6}\).

#### Final Answer

\(\frac{4}{15}\) written as a recurring decimal using dot notation is \(0.2\dot{6}\).

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