Question

Evaluate the expression `\frac{3mn}{-2p}` when `m\ =\ \frac{1}{3},` `n\ =-3,`and `p=3.`

write in decimal form

Answer 1

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

First, we calculate \(mn\):
\[
mn = \frac{1}{3} \cdot (-3) = -1
\]

Next, we calculate \(-2p\):
\[
-2p = -2 \cdot 3 = -6
\]

Now we substitute \(mn\) and \(-2p\) back into the expression:
\[
\frac{3mn}{-2p} = \frac{3 \cdot (-1)}{-6}
\]
\[
= \frac{-3}{-6}
\]
\[
= \frac{3}{6} = \frac{1}{2}
\]

Finally, we convert \(\frac{1}{2}\) to decimal form:
\[
\frac{1}{2} = 0.5
\]

Thus, the value of the expression is \(\boxed{0.5}\).