Question

evaluate the expression 3mn/-2p when m=1/3 n=-3 and p=3

Answer 1

To evaluate the expression \( \frac{3mn}{-2p} \) with the given values \( m = \frac{1}{3} \), \( n = -3 \), and \( p = 3 \), we can substitute these values into the expression.

First, substitute the values:

\[
m = \frac{1}{3}, \quad n = -3, \quad p = 3
\]

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

Now, calculate \( 3mn \):

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

Now calculate \( -2p \):

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

Now, substitute these values back into the expression:

\[
\frac{3mn}{-2p} = \frac{-3}{-6}
\]

Finally, simplify the fraction:

\[
\frac{-3}{-6} = \frac{3}{6} = \frac{1}{2}
\]

Thus, the value of the expression is:

\[
\boxed{\frac{1}{2}}
\]