4mn/-2p (when m=1/2, n=-3 and p=3)

Answer 1

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

1. First, substitute the values: \[ m = \frac{1}{2}, \quad n = -3, \quad p = 3 \] Thus, the expression becomes: \[ 4 \left(\frac{1}{2}\right)(-3) / -2(3) \]

2. Calculate the numerator: \[ 4 \left(\frac{1}{2}\right)(-3) = 4 \cdot \frac{1}{2} \cdot -3 = 2 \cdot -3 = -6 \]

3. Calculate the denominator: \[ -2(3) = -6 \]

4. Now we can compute the entire expression: \[ \frac{-6}{-6} = 1 \]

Thus, the value of the expression \( \frac{4mn}{-2p} \) when \( m = \frac{1}{2} \), \( n = -3 \), and \( p = 3 \) is \( \boxed{1} \).

Answer 2

show me a step by step

Answer 3

Sure! Let's break it down step-by-step to evaluate the expression \( \frac{4mn}{-2p} \) given \( m = \frac{1}{2} \), \( n = -3 \), and \( p = 3 \).

Step 1: Write the Expression and Substitute the Values

We start with the expression:

\[ \frac{4mn}{-2p} \]

Now substitute \( m = \frac{1}{2} \), \( n = -3 \), and \( p = 3 \):

\[ \frac{4 \left(\frac{1}{2}\right)(-3)}{-2(3)} \]

Step 2: Calculate the Numerator

We first calculate the numerator \( 4mn \):

1. Substituting \( m \) and \( n \):

\[ mn = \left(\frac{1}{2}\right)(-3) \]

2. Multiply this out:

\[ mn = -\frac{3}{2} \]

3. Now calculate \( 4mn \):

\[ 4mn = 4 \left(-\frac{3}{2}\right) = -\frac{12}{2} = -6 \]

So the numerator is:

\[ -6 \]

Step 3: Calculate the Denominator

Now, calculate the denominator \( -2p \):

1. Substitute \( p = 3 \):

\[ -2p = -2(3) \]

2. Calculate this:

\[ -2(3) = -6 \]

So the denominator is:

\[ -6 \]

Step 4: Combine Numerator and Denominator

Now we can put it all together:

\[ \frac{-6}{-6} \]

Step 5: Simplify

Simplifying the fraction:

\[ \frac{-6}{-6} = 1 \]

Final Result

Therefore, the value of the expression \( \frac{4mn}{-2p} \) when \( m = \frac{1}{2} \), \( n = -3 \), and \( p = 3 \) is:

\[ \boxed{1} \]

Answer 4

no words in the equation?

Answer 5

Certainly! Here’s the step-by-step evaluation of the expression \( \frac{4mn}{-2p} \) using only equations and minimal words:

Given:

• \( m = \frac{1}{2} \)
• \( n = -3 \)
• \( p = 3 \)

Step 1: Substitute the values

\[ \frac{4mn}{-2p} = \frac{4 \left(\frac{1}{2}\right)(-3)}{-2(3)} \]

Step 2: Calculate the numerator

\[ mn = \left(\frac{1}{2}\right)(-3) = -\frac{3}{2} \] \[ 4mn = 4 \left(-\frac{3}{2}\right) = -\frac{12}{2} = -6 \]

Step 3: Calculate the denominator

\[ -2p = -2(3) = -6 \]

Step 4: Combine the results

\[ \frac{-6}{-6} = 1 \]

Final Result

\[ \boxed{1} \]