QuestionAugust 27, 2025

Write 0.9 as a fraction. Do not try to simplify your answer. square

Write 0.9 as a fraction. Do not try to simplify your answer. square
Write 0.9 as a fraction.
Do not try to simplify your answer.
square

Solution
4.7(336 votes)

Answer

\frac{9}{9} Explanation 1. Identify the repeating decimal 0.9 is a repeating decimal. 2. Set up an equation Let x = 0.999.... 3. Multiply by 10 10x = 9.999.... 4. Subtract equations 10x - x = 9.999... - 0.999... gives 9x = 9. 5. Solve for x Divide both sides by 9: x = \frac{9}{9}.

Explanation

1. Identify the repeating decimal<br /> 0.9 is a repeating decimal.<br />2. Set up an equation<br /> Let $x = 0.999...$.<br />3. Multiply by 10<br /> $10x = 9.999...$.<br />4. Subtract equations<br /> $10x - x = 9.999... - 0.999...$ gives $9x = 9$.<br />5. Solve for x<br /> Divide both sides by 9: $x = \frac{9}{9}$.
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