Question

solve for t.
$t + \frac{5}{9} = \frac{8}{9}$
$t = \square$

Explanation:

Step1: Subtract $\frac{5}{9}$ from both sides

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

$$ t + \frac{5}{9} - \frac{5}{9} = \frac{8}{9} - \frac{5}{9} $$

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:

$$ t = \frac{8 - 5}{9} = \frac{3}{9} $$

Step3: Simplify the fraction

We can simplify \(\frac{3}{9}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

$$ t = \frac{3 \div 3}{9 \div 3} = \frac{1}{3} $$

Answer:

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