Question

multiply and divide rational numbers practice and quick check answers

Answer 1

Sure! Below are some practice problems for multiplying and dividing rational numbers, along with the answers for quick checking.

### Practice Problems

**Multiply the following rational numbers:**

1. \( \frac{3}{4} \times \frac{2}{5} \)
2. \( -\frac{1}{2} \times \frac{6}{7} \)
3. \( \frac{5}{8} \times -\frac{3}{10} \)
4. \( -\frac{4}{9} \times -\frac{3}{5} \)
5. \( \frac{7}{11} \times \frac{0}{1} \)

**Divide the following rational numbers:**

1. \( \frac{3}{4} \div \frac{2}{5} \)
2. \( -\frac{1}{2} \div \frac{6}{7} \)
3. \( \frac{5}{8} \div -\frac{3}{10} \)
4. \( -\frac{4}{9} \div -\frac{3}{5} \)
5. \( \frac{7}{11} \div \frac{0}{1} \)

### Quick Check Answers

**Multiplication Answers:**

1. \( \frac{3 \times 2}{4 \times 5} = \frac{6}{20} = \frac{3}{10} \)
2. \( -\frac{1 \times 6}{2 \times 7} = -\frac{6}{14} = -\frac{3}{7} \)
3. \( \frac{5 \times -3}{8 \times 10} = \frac{-15}{80} = -\frac{3}{16} \)
4. \( -\frac{4 \times -3}{9 \times 5} = \frac{12}{45} = \frac{4}{15} \)
5. \( \frac{7 \times 0}{11 \times 1} = \frac{0}{11} = 0 \)

**Division Answers:**

1. \( \frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8} \)
2. \( -\frac{1}{2} \div \frac{6}{7} = -\frac{1}{2} \times \frac{7}{6} = -\frac{7}{12} \)
3. \( \frac{5}{8} \div -\frac{3}{10} = \frac{5}{8} \times -\frac{10}{3} = -\frac{50}{24} = -\frac{25}{12} \)
4. \( -\frac{4}{9} \div -\frac{3}{5} = -\frac{4}{9} \times -\frac{5}{3} = \frac{20}{27} \)
5. Division by zero is undefined, so \( \frac{7}{11} \div \frac{0}{1} \) is **undefined**.

Feel free to reach out if you have any further questions or need more practice!