Question

using a calculator, find the decimal equivalent for the fraction \\(\frac{682}{999}\\). options: 0.682, 0.683, \\(0.\overline{682}\\), \\(0.68\overline{2}\\)

Explanation:

Step1: Recall fraction to decimal

To convert a fraction \(\frac{a}{b}\) to a decimal, divide \(a\) by \(b\). Here, we have \(\frac{682}{999}\).

Step2: Perform division or recall pattern

When a fraction has a denominator of \(999\), the decimal equivalent is a repeating decimal where the numerator (if it has three digits or less) repeats. So \(\frac{682}{999}=0.\overline{682}\) (the bar is over all three digits 6, 8, 2).

Answer:

The option with \(0.\overline{682}\) (the one in the bottom - left among the options, with the bar over 682).