Question

2 which ratio is equivalent to 3 : 18? a 6 : 21 b 5 : 20 c 7 : 42 d 12 : 2

Explanation:

Step1: Simplify the given ratio

To simplify \(3:18\), we divide both parts by their greatest common divisor (GCD). The GCD of 3 and 18 is 3. So, \(\frac{3}{3}:\frac{18}{3}=1:6\).

Step2: Simplify each option

• Option A: Simplify \(6:21\). The GCD of 6 and 21 is 3. \(\frac{6}{3}:\frac{21}{3}=2:7\), which is not equal to \(1:6\).
• Option B: Simplify \(5:20\). The GCD of 5 and 20 is 5. \(\frac{5}{5}:\frac{20}{5}=1:4\), which is not equal to \(1:6\).
• Option C: Simplify \(7:42\). The GCD of 7 and 42 is 7. \(\frac{7}{7}:\frac{42}{7}=1:6\), which is equal to the simplified form of \(3:18\).
• Option D: Simplify \(12:2\). The GCD of 12 and 2 is 2. \(\frac{12}{2}:\frac{2}{2}=6:1\), which is not equal to \(1:6\).

Answer:

C. \(7:42\)