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

Responses

9/6
Start Fraction 9 over 6 End Fraction

1
1

9/4
Start Fraction 9 over 4 End Fraction

2/3

1 answer

To determine which of the given ratios is equivalent to \( \frac{3}{2} \), we can simplify or compare each option:

  1. \( \frac{9}{6} \): \[ \frac{9}{6} = \frac{9 \div 3}{6 \div 3} = \frac{3}{2} \] This is equivalent to \( \frac{3}{2} \).

  2. 1: \[ 1 = \frac{2}{2} \] This is not equivalent to \( \frac{3}{2} \).

  3. \( \frac{9}{4} \): This cannot be simplified to \( \frac{3}{2} \) since: \[ \frac{9}{4} \neq \frac{3}{2} \]

  4. \( \frac{2}{3} \): This cannot be simplified to \( \frac{3}{2} \) since: \[ \frac{2}{3} \neq \frac{3}{2} \]

From the analysis, the ratio that is equivalent to \( \frac{3}{2} \) is \( \frac{9}{6} \).