Practice Your skills Solve for \( n \) in each proportion. 1 \( \frac{3}{n}=\frac{2}{4} \) \( 2 \quad \frac{5}{7}=\frac{n}{14} \) \( 3 \quad \frac{n}{5}=\frac{16}{20} \) \( 4 \quad \frac{14}{8}=\frac{n}{20} \) \( 5 \quad \frac{3}{n}=\frac{27}{108} \) (6) \( 18: 12=n: 6 \) \( 7 \quad 30: 78=n: 13 \) \( 8 \quad n: 8=5: 10 \) 9. \( \quad 15: 2=n: 8 \) \( 10 \quad 40: 72=n: 9 \)

Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{15}{2}=\frac{n}{8}\) - step1: Swap the sides: \(\frac{n}{8}=\frac{15}{2}\) - step2: Multiply both sides of the equation by \(8:\) \(\frac{n}{8}\times 8=\frac{15}{2}\times 8\) - step3: Multiply the terms: \(n=\frac{15\times 8}{2}\) - step4: Evaluate: \(n=60\) Solve the equation \( 3/n=2/4 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{3}{n}=\frac{2}{4}\) - step1: Find the domain: \(\frac{3}{n}=\frac{2}{4},n\neq 0\) - step2: Reduce the fraction: \(\frac{3}{n}=\frac{1}{2}\) - step3: Rewrite the expression: \(n=3\times 2\) - step4: Evaluate: \(n=6\) - step5: Check if the solution is in the defined range: \(n=6,n\neq 0\) - step6: Find the intersection: \(n=6\) Solve the equation \( n/5=16/20 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{n}{5}=\frac{16}{20}\) - step1: Reduce the fraction: \(\frac{n}{5}=\frac{4}{5}\) - step2: Multiply both sides of the equation by \(5:\) \(\frac{n}{5}\times 5=\frac{4}{5}\times 5\) - step3: Multiply the terms: \(n=4\) Solve the equation \( 5/7=n/14 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{5}{7}=\frac{n}{14}\) - step1: Swap the sides: \(\frac{n}{14}=\frac{5}{7}\) - step2: Multiply both sides of the equation by \(14:\) \(\frac{n}{14}\times 14=\frac{5}{7}\times 14\) - step3: Multiply the terms: \(n=\frac{5\times 14}{7}\) - step4: Evaluate: \(n=10\) Solve the equation \( n/8=5/10 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{n}{8}=\frac{5}{10}\) - step1: Reduce the fraction: \(\frac{n}{8}=\frac{1}{2}\) - step2: Multiply both sides of the equation by \(8:\) \(\frac{n}{8}\times 8=\frac{1}{2}\times 8\) - step3: Multiply the terms: \(n=\frac{8}{2}\) - step4: Evaluate: \(n=4\) Solve the equation \( 40/72=n/9 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{40}{72}=\frac{n}{9}\) - step1: Reduce the fraction: \(\frac{5}{9}=\frac{n}{9}\) - step2: Swap the sides: \(\frac{n}{9}=\frac{5}{9}\) - step3: Multiply both sides of the equation by \(9:\) \(\frac{n}{9}\times 9=\frac{5}{9}\times 9\) - step4: Multiply the terms: \(n=5\) Solve the equation \( 14/8=n/20 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{14}{8}=\frac{n}{20}\) - step1: Reduce the fraction: \(\frac{7}{4}=\frac{n}{20}\) - step2: Swap the sides: \(\frac{n}{20}=\frac{7}{4}\) - step3: Multiply both sides of the equation by \(20:\) \(\frac{n}{20}\times 20=\frac{7}{4}\times 20\) - step4: Multiply the terms: \(n=\frac{7\times 20}{4}\) - step5: Evaluate: \(n=35\) Solve the equation \( 30/78=n/13 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{30}{78}=\frac{n}{13}\) - step1: Reduce the fraction: \(\frac{5}{13}=\frac{n}{13}\) - step2: Swap the sides: \(\frac{n}{13}=\frac{5}{13}\) - step3: Multiply both sides of the equation by \(13:\) \(\frac{n}{13}\times 13=\frac{5}{13}\times 13\) - step4: Multiply the terms: \(n=5\) Solve the equation \( 18/12=n/6 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{18}{12}=\frac{n}{6}\) - step1: Reduce the fraction: \(\frac{3}{2}=\frac{n}{6}\) - step2: Swap the sides: \(\frac{n}{6}=\frac{3}{2}\) - step3: Multiply both sides of the equation by \(6:\) \(\frac{n}{6}\times 6=\frac{3}{2}\times 6\) - step4: Multiply the terms: \(n=\frac{3\times 6}{2}\) - step5: Evaluate: \(n=9\) Solve the equation \( 3/n=27/108 \). Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{3}{n}=\frac{27}{108}\) - step1: Find the domain: \(\frac{3}{n}=\frac{27}{108},n\neq 0\) - step2: Reduce the fraction: \(\frac{3}{n}=\frac{1}{4}\) - step3: Rewrite the expression: \(n=3\times 4\) - step4: Evaluate: \(n=12\) - step5: Check if the solution is in the defined range: \(n=12,n\neq 0\) - step6: Find the intersection: \(n=12\) Here are the solutions for \( n \) in each proportion: 1. \( \frac{3}{n} = \frac{2}{4} \) Solving gives: \( n = 6 \) 2. \( \frac{5}{7} = \frac{n}{14} \) Solving gives: \( n = 10 \) 3. \( \frac{n}{5} = \frac{16}{20} \) Solving gives: \( n = 4 \) 4. \( \frac{14}{8} = \frac{n}{20} \) Solving gives: \( n = 35 \) 5. \( \frac{3}{n} = \frac{27}{108} \) Solving gives: \( n = 12 \) 6. \( 18: 12 = n: 6 \) Solving gives: \( n = 9 \) 7. \( 30: 78 = n: 13 \) Solving gives: \( n = 5 \) 8. \( n: 8 = 5: 10 \) Solving gives: \( n = 4 \) 9. \( 15: 2 = n: 8 \) Solving gives: \( n = 60 \) 10. \( 40: 72 = n: 9 \) Solving gives: \( n = 5 \) If you have any further questions or need additional help, feel free to ask!