Question

solve for t. t + \frac{5}{9} = \frac{8}{9} t = \boxed{\frac{\quad}{\quad}}

Explanation:

Step1: Subtract 5/9 from both sides

To solve for \( t \) in the equation \( t + \frac{5}{9} = \frac{8}{9} \), we need to isolate \( t \). We can do this by subtracting \( \frac{5}{9} \) from both sides of the equation. The equation becomes:
\( t + \frac{5}{9} - \frac{5}{9} = \frac{8}{9} - \frac{5}{9} \)

Step2: Simplify both sides

On the left side, \( \frac{5}{9} - \frac{5}{9} = 0 \), so we are left with \( t \). On the right side, we subtract the numerators since the denominators are the same: \( \frac{8 - 5}{9} = \frac{3}{9} \). We can simplify \( \frac{3}{9} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So \( \frac{3 \div 3}{9 \div 3} = \frac{1}{3} \).

Answer:

\( \frac{1}{3} \)