Write the repeating decimal as a fraction. .807807807 ______

Question Prompt: Question_prompt: Write the repeating decimal as a fraction. .33333333... Step 1: Identify the repeating decimal pattern. The repeating decimal is .33333333..., where the digit '3' repeats indefinitely. Step 2: Express the repeating decimal as a fraction. Let x = .33333333... Then 10x = 3.33333333... (by multiplying both sides by 10) Step 3: Subtract the original equation from the multiplied equation. 10x - x = 3.33333333... - .33333333... 9x = 3 x = 3/9 Step 4: Simplify the fraction. 3/9 can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 3. x = 3/9 = 1/3

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Write the repeating decimal as a fraction. $\newline$ $.807807807$

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Algebra 2

Write a repeating decimal as a fraction

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Q. Write the repeating decimal as a fraction.

\newline

.807807807

Question Prompt: Question_prompt: Write the repeating decimal as a fraction. $0.33333333\ldots$ $\newline$ Step $1$ : Identify the repeating decimal pattern. $\newline$ The repeating decimal is $0.33333333\ldots$ , where the digit ' $3$ ' repeats indefinitely. $\newline$ Step $2$ : Express the repeating decimal as a fraction. $\newline$ Let $x = 0.33333333\ldots$ $\newline$ Then $10x = 3.33333333\ldots$ (by multiplying both sides by $10$ ) $\newline$ Step $3$ : Subtract the original equation from the multiplied equation. $\newline$ $10x - x = 3.33333333\ldots - 0.33333333\ldots$ $\newline$ $9x = 3$ $\newline$ $x = \frac{3}{9}$ $\newline$ Step $4$ : Simplify the fraction. $\newline$ $\frac{3}{9}$ can be simplified by dividing both numerator and denominator by their greatest common divisor, which is $3$ . $\newline$ $0.33333333\ldots$ $1$