Question

what is the decimal form of \\(\frac{5}{6}\\)? 0.8, \\(0.\overline{8}\\), \\(0.\overline{83}\\), \\(0.8\overline{3}\\)

Explanation:

Step1: Divide 5 by 6

To convert the fraction $\frac{5}{6}$ to a decimal, we perform the division $5 \div 6$.
When we divide 5 by 6, we get:
$$5\div6 = 0.8333\cdots$$

Step2: Identify the repeating pattern

The decimal $0.8333\cdots$ has the digit 3 repeating indefinitely. So, we can represent it as $0.8\overline{3}$, where the bar is over the digit 3 to indicate it repeats.

Answer:

$0.8\overline{3}$ (corresponding to the option with the bar over 3, i.e., the last option: $0.8\overline{3}$)