Which of the following ratios is equivalent to 3/2 ?(1 point)

Question

Responses

9/4
Start Fraction 9 over 4 End Fraction

9/6
Start Fraction 9 over 6 End Fraction

2/3
Start Fraction 2 over 3 End Fraction

1

Answer 1

To determine which of the given ratios is equivalent to \( \frac{3}{2} \), we can simplify or cross-multiply the options.

1. Check \( \frac{9}{4} \):

   • Cross-multiply: \( 3 \times 4 = 12 \) and \( 2 \times 9 = 18 \)
   • Not equal, so \( \frac{9}{4} \) is not equivalent.

2. Check \( \frac{9}{6} \):

   • Cross-multiply: \( 3 \times 6 = 18 \) and \( 2 \times 9 = 18 \)
   • They are equal, so \( \frac{9}{6} \) is equivalent to \( \frac{3}{2} \).

3. Check \( \frac{2}{3} \):

   • Cross-multiply: \( 3 \times 2 = 6 \) and \( 2 \times 3 = 6 \)
   • Not equal, so \( \frac{2}{3} \) is not equivalent.

4. Check \( 1 \):

   • This is equivalent to \( \frac{1}{1} \), which does not equal \( \frac{3}{2} \).

The only ratio that is equivalent to \( \frac{3}{2} \) is \( \frac{9}{6} \).