Question 1: Simplify the fraction \(rac{18}{24}\).

Answer: 3/4

Question 2: Convert \(rac{3}{8}\) to a decimal.

Answer: 0.375

Question 3: If a recipe calls for \(rac{2}{3}\) cup of sugar for 4 servings, how much sugar is needed per serving?

Answer: \(rac{1}{6}\) cup

Question 4: A cake recipe requires \(rac{3}{4}\) cup of flour for 8 servings. How much flour is needed for 12 servings?

Answer: \(rac{9}{8}\) cups or 1\(\frac{1}{8}\) cups

Question 5: A pancake recipe needs \(rac{1}{2}\) cup of milk for 2 servings. How much milk is required for 5 servings?

Answer: \(rac{5}{2}\) cups or 2\(\frac{1}{2}\) cups

Question 6: A cookie recipe uses \(rac{2}{3}\) cup of sugar for 12 cookies. How much sugar is used per cookie?

Answer: \(rac{1}{18}\) cup

Question 7: Construct a rectangle on the grid with a length of 3/4 unit and a width of 2/3 unit. Calculate its area.

Answer: \(rac{1}{2}\) square units

Question 8: A recipe for soup requires \(rac{5}{6}\) liter of broth. If the recipe is scaled up to serve 10 people when originally it served 6, how much broth is needed for 10 servings?

Answer: \(rac{25}{18}\) liters or 1\(\frac{7}{18}\) liters

Question 9: A student makes a mistake by adding \(rac{1}{4}\) and \(rac{2}{3}\). Identify the mistake and correct the addition.

Answer: They added incorrectly; correct sum is \(rac{3}{4} + \frac{2}{3} = \frac{17}{12} = 1\(\frac{5}{12}\).

Question 10: What is \(rac{7}{10}\) expressed as a percentage?

Answer: 70%

Question 11: A recipe scaled from 4 servings to 10 servings requires adjusting ingredient quantities proportionally. If 3/4 cup of rice is used for 4 servings, how much rice is needed for 10 servings?

Answer: \(rac{15}{8}\) cups or 1\(\frac{7}{8}\) cups