Write three fractions equivalent to each fraction. \( \begin{array}{ll}\text { 8. } \frac{5}{7} & \text { 9. } \frac{22}{33} \\ \text { 10. } \frac{24}{30} & \text { 11. } \frac{6}{16}\end{array} \)

Sure! Here are three fractions equivalent to each of the given fractions: ### 8. \( \frac{5}{7} \) To find equivalent fractions, multiply both the numerator and the denominator by the same integer. 1. **Multiply by 2:** \[ \frac{5 \times 2}{7 \times 2} = \frac{10}{14} \] 2. **Multiply by 3:** \[ \frac{5 \times 3}{7 \times 3} = \frac{15}{21} \] 3. **Multiply by 4:** \[ \frac{5 \times 4}{7 \times 4} = \frac{20}{28} \] --- ### 9. \( \frac{22}{33} \) Again, multiply both numerator and denominator by the same integer to find equivalent fractions. 1. **Multiply by 2:** \[ \frac{22 \times 2}{33 \times 2} = \frac{44}{66} \] 2. **Multiply by 3:** \[ \frac{22 \times 3}{33 \times 3} = \frac{66}{99} \] 3. **Multiply by 4:** \[ \frac{22 \times 4}{33 \times 4} = \frac{88}{132} \] --- ### 10. \( \frac{24}{30} \) Multiply both numerator and denominator by the same integer to obtain equivalent fractions. 1. **Multiply by 2:** \[ \frac{24 \times 2}{30 \times 2} = \frac{48}{60} \] 2. **Multiply by 3:** \[ \frac{24 \times 3}{30 \times 3} = \frac{72}{90} \] 3. **Multiply by 4:** \[ \frac{24 \times 4}{30 \times 4} = \frac{96}{120} \] --- ### 11. \( \frac{6}{16} \) Find equivalent fractions by multiplying both parts by the same number. 1. **Multiply by 2:** \[ \frac{6 \times 2}{16 \times 2} = \frac{12}{32} \] 2. **Multiply by 3:** \[ \frac{6 \times 3}{16 \times 3} = \frac{18}{48} \] 3. **Multiply by 4:** \[ \frac{6 \times 4}{16 \times 4} = \frac{24}{64} \] --- These equivalent fractions are helpful for various mathematical operations, such as adding, subtracting, or comparing fractions.