QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Express the recurring decimal $0 . \overline{56}$ as a fraction in its simplest form.
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Step 1: Identify the pattern in the decimal
The given decimal number is $0.565656...$, and the pattern starts from the third decimal place and repeats indefinitely.
Step 2: Multiply the number by a suitable power of 10
0.565656... imes 10^{2} = 56.565656...
In this case, $n= 1$. So,
Final Answer
The recurring decimal $0.565656...$ can be expressed as the fraction $\frac{56}{100}$ in its simplest form.
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