Question

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

Answer 1

show me a step by step

Answer 2

no words in the equation?

Answer 3

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 4

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 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
\[
\boxed{1}
\]