To solve the expression [tex]\( -\frac{2}{3} \)[/tex], we need to represent it as a decimal number. Here's the detailed, step-by-step process:
1. Identify the numerator and the denominator in the given fraction. In this case, the numerator is [tex]\(-2\)[/tex] and the denominator is [tex]\(3\)[/tex].
2. Understand that dividing the numerator by the denominator will give us the decimal representation of the fraction. We will perform the division of [tex]\(-2\)[/tex] by [tex]\(3\)[/tex].
3. When we divide [tex]\(-2\)[/tex] by [tex]\(3\)[/tex], we get the decimal result [tex]\(-0.6666666666666666\)[/tex]. This result fully represents the fraction in its decimal form.
Therefore, the decimal representation of the fraction [tex]\( -\frac{2}{3} \)[/tex] is:
[tex]\[
-0.6666666666666666
\][/tex]
