Question

Evaluate the expression (1 point)
Evaluate the expression
5mn/−2p​ when m = 2/5​, n =−7,and p=5.

Answer 1

To evaluate the expression \(\frac{5mn}{-2p}\) when \(m = \frac{2}{5}\), \(n = -7\), and \(p = 5\), we first substitute the values of \(m\), \(n\), and \(p\) into the expression.

1. Substitute values:
\[
\frac{5 \cdot \frac{2}{5} \cdot (-7)}{-2 \cdot 5}
\]

2. Simplify the numerator:
\[
5 \cdot \frac{2}{5} = 2
\]
So, the numerator becomes:
\[
2 \cdot (-7) = -14
\]

3. Simplify the denominator:
\[
-2 \cdot 5 = -10
\]

4. Now, substitute back into the expression:
\[
\frac{-14}{-10}
\]

5. Simplify the fraction:
\[
\frac{-14}{-10} = \frac{14}{10} = \frac{7}{5}
\]

Thus, the evaluated expression is \(\frac{7}{5}\).