What is 18.15 divided by negative 5 and a half

To divide 18.15 by \(-5.5\), we first express \(-5.5\) as a fraction:

\[
-5.5 = -\frac{11}{2}
\]

Now, dividing by a fraction is equivalent to multiplying by its reciprocal. So:

\[
18.15 \div -\frac{11}{2} = 18.15 \times -\frac{2}{11}
\]

Perform the multiplication:

\[
18.15 \times -\frac{2}{11} = -\frac{18.15 \times 2}{11} = -\frac{36.3}{11}
\]

Now, divide 36.3 by 11:

\[
36.3 \div 11 = 3.3
\]

Thus, the result is:

\[
18.15 \div -5.5 = -3.3
\]

### Final Answer: \(-3.3\)

Would you like more details or have any questions?

Here are some related questions you might find helpful:

1. How do you convert a decimal like 5.5 into a fraction?
2. What are the steps to multiply fractions with negative numbers?
3. Can you show me how to divide decimals by fractions?
4. How does the reciprocal work in fraction operations?
5. What is the impact of a negative divisor on division results?

**Tip:** When dividing by a fraction, remember to multiply by its reciprocal for easier calculation.

What is 18.15 divided by negative 5 and a half?

Learn how to divide 18.15 by negative 5.5 using fractions and reciprocals. This detailed solution covers key mathematical concepts like division of decimals, multiplication of fractions, and handling negative numbers. Suitable for students in Grades 6-8.

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