Sure, let's break down the process step-by-step to find the cube root of the fraction [tex]\(\frac{2}{3}\)[/tex].
1. Start with the fraction [tex]\(\frac{2}{3}\)[/tex]:
- The numerator is [tex]\(2\)[/tex].
- The denominator is [tex]\(3\)[/tex].
2. Convert the fraction to a decimal:
[tex]\[
\frac{2}{3} = 0.6666666666666666
\][/tex]
3. Find the cube root of the decimal:
- The cube root of [tex]\(0.6666666666666666\)[/tex] is approximately [tex]\(0.8735804647362989\)[/tex].
Therefore, the cube root of [tex]\(\frac{2}{3}\)[/tex] is approximately [tex]\(0.8735804647362989\)[/tex].
