Evaluate the expression 4mn/-2p when m = 1/2, n = -3, and p = 3

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

To evaluate the expression \( \frac{4mn}{-2p} \) when \( m = \frac{1}{2} \), \( n = -3 \), and \( p = 3 \), we start by substituting the values of \( m \), \( n \), and \( p \) into the expression.

  1. Substitute the values: \[ m = \frac{1}{2}, \quad n = -3, \quad p = 3 \]

  2. Substitute into the expression: \[ \frac{4 \cdot \frac{1}{2} \cdot (-3)}{-2 \cdot 3} \]

  3. Calculate the numerator: \[ 4 \cdot \frac{1}{2} = 2 \] Then: \[ 2 \cdot (-3) = -6 \] Therefore, the numerator is \( -6 \).

  4. Calculate the denominator: \[ -2 \cdot 3 = -6 \]

  5. The expression now looks like this: \[ \frac{-6}{-6} \]

  6. Simplify the fraction: \[ \frac{-6}{-6} = 1 \]

Thus, the value of the expression \( \frac{4mn}{-2p} \) is \( \boxed{1} \).