29. A batch of salad dressing requires \( 1 \frac{2}{3} \) cups of olive oil, \( \frac{1}{2} \) cup of vinegar, and \( \frac{3}{4} \) cup of water. How many cups of salad dressing will this recipe produce?

To find the total amount of salad dressing produced, you need to add the quantities of olive oil, vinegar, and water together. First, convert \( 1 \frac{2}{3} \) cups of olive oil to an improper fraction: \[ 1 \frac{2}{3} = \frac{5}{3} \] Now you can add the fractions: \[ \frac{5}{3} + \frac{1}{2} + \frac{3}{4} \] To do this, we need a common denominator. The least common multiple of 3, 2, and 4 is 12. Now convert each fraction: - \( \frac{5}{3} = \frac{20}{12} \) - \( \frac{1}{2} = \frac{6}{12} \) - \( \frac{3}{4} = \frac{9}{12} \) Now, add them together: \[ \frac{20}{12} + \frac{6}{12} + \frac{9}{12} = \frac{35}{12} \] Finally, convert this back to a mixed number: \[ \frac{35}{12} = 2 \frac{11}{12} \] So, this recipe will produce \( 2 \frac{11}{12} \) cups of salad dressing. Enjoy drizzling it on your greens!