Solve for $$ z $$ $$ \frac{17}{18}=\frac{3}{18}+z $$

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UpStudy AI · Accepted Answer

1. Start with the equation:
   $$
   \frac{17}{18} = \frac{3}{18} + z
   $$

2. Subtract $$\frac{3}{18}$$ from both sides to isolate $$ z $$:
   $$
   \frac{17}{18} - \frac{3}{18} = z
   $$

3. Combine the fractions:
   $$
   z = \frac{17-3}{18} = \frac{14}{18}
   $$

4. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (which is 2):
   $$
   z = \frac{14 \div 2}{18 \div 2} = \frac{7}{9}
   $$

Thus, the solution is $$ z = \frac{7}{9} $$.
$$ z = \frac{7}{9} $$

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