Question

Question

Which of the following ratios is equivalent to 32?(1 point)
Responses

23
Start Fraction 2 over 3 End Fraction

94
Start Fraction 9 over 4 End Fraction

96
Start Fraction 9 over 6 End Fraction

1 .

Answer 1

To determine which fraction is equivalent to 32, we can convert 32 into a fraction:

\[ 32 = \frac{32}{1} \]

Now, we can compare this to the provided options by converting each of them to a decimal or by cross-multiplying.

1. \( \frac{2}{3} = 0.6667 \)
2. \( \frac{9}{4} = 2.25 \)
3. \( \frac{9}{6} = 1.5 \)
4. \( 1 = 1.0 \)

As none of these fractions represent 32, let's check the options by cross-multiplying:

1. \( \frac{2}{3} \): \( 2 \times 1 = 2 \) and \( 3 \times 32 = 96 \) (not equal)
2. \( \frac{9}{4} \): \( 9 \times 1 = 9 \) and \( 4 \times 32 = 128 \) (not equal)
3. \( \frac{9}{6} \): \( 9 \times 1 = 9 \) and \( 6 \times 32 = 192 \) (not equal)
4. \( 1 \): \( 1 \times 32 = 32 \) and \( 1 \times 1 = 1 \) (not equal)

Thus, none of the options given are equivalent to 32. Would you like assistance with another question?