What is the solution of the equation 5/2 x = − 1/8

Question

?(1 point)
Responses

−120
negative Start Fraction 1 over 20 End Fraction

−516
negative Start Fraction 5 over 16 End Fraction

−20
negative 20

1/20

Answer 1

To solve the equation \( \frac{5}{2} x = -\frac{1}{8} \), we can follow these steps:

1. Multiply both sides by the reciprocal of \( \frac{5}{2} \), which is \( \frac{2}{5} \):

   \[ x = -\frac{1}{8} \cdot \frac{2}{5} \]

2. Multiply the fractions:

   \[ x = -\frac{1 \cdot 2}{8 \cdot 5} = -\frac{2}{40} \]

3. Simplify the fraction:

   \[ x = -\frac{1}{20} \]

So the solution to the equation \( \frac{5}{2} x = -\frac{1}{8} \) is:

\[ \boxed{-\frac{1}{20}} \]

This matches the response "negative Start Fraction 1 over 20 End Fraction".