QQuestionMathematics
QuestionMathematics
What is the recurring decimal 0.1 as a fraction in its simplest form?
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Answer
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Step 1: To express the recurring decimal 0.1 as a fraction, we need to find a numerator and denominator such that when the decimal is expressed as a fraction, it terminates or repeats.
In this case, the repeating decimal 0.1 repeats indefinitely.
Step 2: We can think of 0.1 as 1 / 10, but since it repeats indefinitely, we need to multiply both the numerator and denominator by 10 until the repeating pattern is contained within the numerator.
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Final Answer
The recurring decimal 0.1 as a fraction in its simplest form is 1 / 10.
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