Question

solve for u.
$-\frac{4}{5}+u=\frac{1}{3}$
simplify your answer as much as possible.
$u = \square$

Explanation:

Step1: Add $\frac{4}{5}$ to both sides

To isolate \( u \), we add \(\frac{4}{5}\) to both sides of the equation \(-\frac{4}{5} + u = \frac{1}{3}\). This gives us \( u = \frac{1}{3} + \frac{4}{5} \).

Step2: Find a common denominator

The common denominator of 3 and 5 is 15. So we rewrite the fractions: \(\frac{1}{3} = \frac{5}{15}\) and \(\frac{4}{5} = \frac{12}{15}\).

Step3: Add the fractions

Now we add the two fractions: \(\frac{5}{15} + \frac{12}{15} = \frac{5 + 12}{15} = \frac{17}{15}\).

Answer:

\( u = \frac{17}{15} \)