https://file.aiquickdraw.com/mathbot/file/1726714903886a9q6jmx7.jpg

Let's go through the problems one by one:

**Question 10:**
\[
\frac{1}{2} \div \frac{6}{7}
\]

To divide fractions, multiply by the reciprocal of the second fraction:
\[
\frac{1}{2} \div \frac{6}{7} = \frac{1}{2} \times \frac{7}{6} = \frac{1 \times 7}{2 \times 6} = \frac{7}{12}
\]

**Answer:** \(\frac{7}{12}\)

---

**Question 11:**
\[
\frac{3}{5} \div \frac{4}{9}
\]

Same process, multiply by the reciprocal:
\[
\frac{3}{5} \div \frac{4}{9} = \frac{3}{5} \times \frac{9}{4} = \frac{3 \times 9}{5 \times 4} = \frac{27}{20}
\]

**Answer:** \(\frac{27}{20}\) or as a mixed number: \(1\frac{7}{20}\)

---

**Question 12:**
\[
\frac{2}{3} \div \frac{8}{11}
\]

Again, multiply by the reciprocal:
\[
\frac{2}{3} \div \frac{8}{11} = \frac{2}{3} \times \frac{11}{8} = \frac{2 \times 11}{3 \times 8} = \frac{22}{24}
\]

Simplify the fraction:
\[
\frac{22}{24} = \frac{11}{12}
\]

**Answer:** \(\frac{11}{12}\)

---

**Question 13:**
\[
-9 + 5
\]

This is a simple addition of integers:
\[
-9 + 5 = -4
\]

**Answer:** \(-4\)

---

Let me know if you'd like more details on any of the steps!

Here are 5 related questions:
1. How do you multiply two fractions together?
2. How do you convert improper fractions to mixed numbers?
3. What is the rule for dividing two fractions?
4. Can you simplify the fraction \(\frac{9}{12}\)? How?
5. What happens when you add two negative numbers?

**Tip:** When dividing fractions, always remember to flip (reciprocal) the second fraction and then multiply!

Please do the following calculation: 1/2 ÷ 6/7, 3/5 ÷ 4/9, 2/3 ÷ 8/11, and -9 + 5

Learn how to simplify fraction divisions such as 1/2 ÷ 6/7, 3/5 ÷ 4/9, and 2/3 ÷ 8/11 by multiplying by the reciprocal. Also, review the basic addition of integers like -9 + 5. Suitable for students in Grades 5-7.

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