Write the repeating decimal as a fraction. .88888888 ______

Identify Repeating Pattern: Identify the repeating pattern in the decimal. The repeating decimal is 0.88888888..., where the digit 8 repeats indefinitely.Assign Variable x: Let x equal the repeating decimal. Let x = 0.88888888...Multiply by 10: Multiply x by 10 to shift the decimal point to the right by one place. 10x = 8.88888888...Subtract and Eliminate Decimals: Subtract the original number x from the result of step 3 to eliminate the repeating decimals. 10x - x = 8.88888888... - 0.88888888... 9x = 8Solve for x: Solve for x by dividing both sides of the equation by 9. x = 8 / 9Write as Fraction: Write the repeating decimal as a fraction. 0.88888888... = 8/9

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Write the repeating decimal as a fraction. $\newline$ $.88888888$

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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

.88888888

Identify Repeating Pattern: Identify the repeating pattern in the decimal. $\newline$ The repeating decimal is $0.88888888\ldots$ , where the digit $8$ repeats indefinitely.
Assign Variable $x$ : Let $x$ equal the repeating decimal. $\newline$ Let $x = 0.88888888\ldots$
Multiply by $10$ : Multiply $x$ by $10$ to shift the decimal point to the right by one place. $\newline$ $10x = 8.88888888\ldots$
Subtract and Eliminate Decimals: Subtract the original number $x$ from the result of step $3$ to eliminate the repeating decimals. $10x - x = 8.88888888... - 0.88888888...$ $9x = 8$
Solve for x: Solve for x by dividing both sides of the equation by $9$ . $x = \frac{8}{9}$
Write as Fraction: Write the repeating decimal as a fraction. $\newline$ $0.88888888\ldots = \frac{8}{9}$