What is the correct simplification of 25 3/2?(1 point)

Question

Responses

625
625

125
125

75
75

37.5

Answer 1

To simplify \(25 \cdot \frac{3}{2}\), follow these steps:

1. Convert \(25\) to a fraction: \[ 25 = \frac{25}{1} \]

2. Multiply the fractions: \[ \frac{25}{1} \cdot \frac{3}{2} = \frac{25 \cdot 3}{1 \cdot 2} = \frac{75}{2} \]

3. Now, convert \(\frac{75}{2}\) to a decimal or mixed number: \[ \frac{75}{2} = 37.5 \]

Therefore, the correct simplification of \(25 \cdot \frac{3}{2}\) is \(37.5\).