Question

solve for u.
$u + \frac{1}{2} = -\frac{4}{5}$
simplify your answer as much as possible.
$u = \square$

Explanation:

Step1: Subtract $\frac{1}{2}$ from both sides

To solve for \( u \), we need to isolate \( u \). We do this by subtracting \(\frac{1}{2}\) from both sides of the equation \( u + \frac{1}{2} = -\frac{4}{5} \). So we get \( u = -\frac{4}{5} - \frac{1}{2} \).

Step2: Find a common denominator and subtract

The common denominator of 5 and 2 is 10. Convert both fractions: \(-\frac{4}{5} = -\frac{8}{10}\) and \(\frac{1}{2} = \frac{5}{10}\). Now subtract: \( u = -\frac{8}{10} - \frac{5}{10} = -\frac{13}{10} \).

Answer:

\( u = -\frac{13}{10} \)