What is the solution of the equation 5/2x = −1/8 ?(1 point) Responses −5/16 negative Start Fraction 5 over 16 End Fraction 1/20 Start Fraction 1 over 20 End Fraction −1/20 negative Start Fraction 1 over 20 End Fraction −20

Answer 1

To solve the equation \( \frac{5}{2} x = -\frac{1}{8} \), we need to isolate \( x \).

1. Begin by multiplying both sides of the equation by the reciprocal of \( \frac{5}{2} \), which is \( \frac{2}{5} \): \[ x = -\frac{1}{8} \cdot \frac{2}{5} \]

2. Perform the multiplication: \[ x = -\frac{2}{40} \]

3. Simplify \( -\frac{2}{40} \) by dividing the numerator and the denominator by 2: \[ x = -\frac{1}{20} \]

Therefore, the solution to the equation is:

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