Question

solve for z.
\frac{17}{18} = \frac{3}{18} + z

z = \square

Explanation:

Step1: Subtract 3/18 from both sides

To solve for \( z \), we subtract \( \frac{3}{18} \) from both sides of the equation \( \frac{17}{18} = \frac{3}{18} + z \). This gives us \( z = \frac{17}{18} - \frac{3}{18} \).

Step2: Subtract the numerators

Since the denominators are the same, we subtract the numerators: \( \frac{17 - 3}{18} = \frac{14}{18} \).

Step3: Simplify the fraction

We can simplify \( \frac{14}{18} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So \( \frac{14 \div 2}{18 \div 2} = \frac{7}{9} \).

Answer:

\( \frac{7}{9} \)