Question

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which decimal is equivalent to \\(\frac{5}{6}\\) ? \\(\circ\\ 0.8\bar{3}\\) \\(\circ\\ 0.\overline{83}\\) \\(\circ\\ 1.2\\) \\(\circ\\ 1.\bar{2}\\)

Explanation:

Step1: Divide 5 by 6

To find the decimal equivalent of a fraction, we perform the division. So, we calculate \( 5 \div 6 \).
\[
5\div6 = 0.8333\cdots
\]

Step2: Identify the repeating decimal

In the decimal \( 0.8333\cdots \), the digit 3 repeats indefinitely. So, we can write this as \( 0.8\overline{3} \), where the bar is over the repeating digit 3.

Answer:

\( 0.8\overline{3} \) (the first option: \( 0.8\overline{3} \))