QQuestionMathematics
QuestionMathematics
Write the recurring decimal 0.4 as a fraction in its simplest form.
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Answer
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Step 1I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2: Set up the algebraic equation
Let $$x = 0.4444...$$ be the recurring decimal
Final Answer
Key Insights: - This method works by creating an algebraic equation that eliminates the repeating decimal - The process involves multiplying by a power of 10 and subtracting to isolate the variable - The resulting fraction \frac{4}{9} is equivalent to the original recurring decimal 0.4
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