To solve the given expression [tex]\(-\frac{3413}{512}\)[/tex], follow these steps:
1. Understand the Signs:
- The numerator is [tex]\(3413\)[/tex] which is a positive number.
- The denominator is [tex]\(512\)[/tex], also a positive number.
- The negative sign in front of the fraction indicates that the overall value of the fraction will be negative.
2. Set Up the Division:
- You need to divide [tex]\(3413\)[/tex] by [tex]\(512\)[/tex] and then apply the negative sign to the result of this division.
3. Perform the Division:
- Dividing [tex]\(3413\)[/tex] by [tex]\(512\)[/tex] gives a quotient.
4. Negative Result:
- After obtaining the result of the division, apply the negative sign to get the final answer.
Therefore, [tex]\( -\frac{3413}{512} \)[/tex] simplifies to:
[tex]\[
-6.666015625
\][/tex]
This is the detailed and final solution:
[tex]\[
-\frac{3413}{512} = -6.666015625
\][/tex]
