Question

select three ratios that are equivalent to 7 : 6. choose 3 answers: a 12 : 14 b 21 : 18 c 42 : 36 d 63 : 54 e 84 : 62

Explanation:

Step1: Recall equivalent ratio rule

To find equivalent ratios, we can multiply or divide both parts of the ratio \(7:6\) by the same non - zero number.

Step2: Analyze Option A

For ratio \(12:14\), simplify it by dividing both terms by 2, we get \(\frac{12\div2}{14\div2}=\frac{6}{7}=6:7\), which is not equivalent to \(7:6\).

Step3: Analyze Option B

For ratio \(21:18\), divide both terms by 3. \(\frac{21\div3}{18\div3}=\frac{7}{6}=7:6\), so \(21:18\) is equivalent to \(7:6\).

Step4: Analyze Option C

For ratio \(42:36\), divide both terms by 6. \(\frac{42\div6}{36\div6}=\frac{7}{6}=7:6\), so \(42:36\) is equivalent to \(7:6\).

Step5: Analyze Option D

For ratio \(63:54\), divide both terms by 9. \(\frac{63\div9}{54\div9}=\frac{7}{6}=7:6\), so \(63:54\) is equivalent to \(7:6\).

Step6: Analyze Option E

For ratio \(84:62\), divide both terms by 2. \(\frac{84\div2}{62\div2}=\frac{42}{31}=42:31\), which is not equivalent to \(7:6\).

Answer:

B. \(21:18\), C. \(42:36\), D. \(63:54\)