To divide two fractions, follow these steps:
1. Understand the Problem: We are asked to find the value of [tex]\(\frac{2}{3}\)[/tex].
2. Divide the Numerator by the Denominator:
- Here, the numerator is 2 and the denominator is 3.
- To find the decimal representation, we need to divide 2 by 3.
3. Perform the Division:
- Dividing 2 by 3 gives us approximately [tex]\(0.6666666666666666\)[/tex].
- This decimal is a repeating decimal, signified by the line over the 6 when written in traditional notation: [tex]\(0.\overline{6}\)[/tex].
4. Interpret the Result:
- The repeating decimal [tex]\(0.6666666666666666\)[/tex] can also be written more simply as [tex]\(0.\overline{6}\)[/tex], indicating that the number 6 repeats indefinitely.
So, the value of [tex]\(\frac{2}{3}\)[/tex] in decimal form is [tex]\(0.6666666666666666\)[/tex].
