Question

convert the following number to a decimal without using a calculator. hint: use long division. \\(\frac{8}{6}\\) options: \\(1.\overline{3}\\), \\(0.\overline{13}\\), \\(13.33\\)

Explanation:

Step1: Simplify the fraction

Simplify \(\frac{8}{6}\) by dividing numerator and denominator by 2, we get \(\frac{4}{3}\).

Step2: Perform long division

Divide 4 by 3. 3 goes into 4 once with a remainder of 1. Write 1 above the division bar. Then, add a decimal point and a zero to the remainder, making it 10. 3 goes into 10 three times (3×3 = 9) with a remainder of 1. This remainder of 1 will repeat, so the decimal is \(1.\overline{3}\).

Answer:

1.\(\overline{3}\) (corresponding to the first option: 1.\(\overline{3}\))