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

Responses

9/6
Start Fraction 9 over 6 End Fraction

1
1

2/3
Start Fraction 2 over 3 End Fraction

9/4

1 answer

To determine which of the provided ratios is equivalent to \( \frac{3}{2} \), we can compare each ratio by simplifying or cross-multiplying where necessary.

  1. \( \frac{9}{6} \):

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

    • \( 1 \) can be expressed as \( \frac{1}{1} \), and is not equivalent to \( \frac{3}{2} \).
  3. \( \frac{2}{3} \):

    • This is less than 1 and not equivalent to \( \frac{3}{2} \).
  4. \( \frac{9}{4} \):

    • This is greater than 2 and also not equivalent to \( \frac{3}{2} \).

Based on the comparisons, the only ratio that is equivalent to \( \frac{3}{2} \) is:

\( \frac{9}{6} \).

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