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

Answer: 3/4

Question 2: Calculate \( \frac{3}{4} \) of 16.

Answer: 12

Question 3: Express \( \frac{5}{8} \) as a decimal.

Answer: 0.625

Question 4: Rearrange the formula \( A = \frac{1}{2} bh \) to find \( h \).

Answer: h = \frac{2A}{b}

Question 5: Solve for \( x \) in the equation \( \frac{2}{5}x = 8 \).

Answer: 20

Question 6: A recipe requires \( \frac{3}{4} \) cup of sugar. If you want to make half the recipe, how much sugar do you need?

Answer: 3/8

Question 7: Identify and correct the mistake: \( \frac{4}{6} + \frac{2}{3} = 1 \).

Answer: Incorrect; \( \frac{4}{6} + \frac{2}{3} = \frac{2}{3} + \frac{2}{3} = \frac{4}{3} \neq 1 \). The sum is \( \frac{4}{3} \).

Question 8: Plot the graph of \( y = \frac{1}{2}x \) on the provided grid.

Answer: Student plots the line passing through (0,0) with slope 1/2.

Question 9: Construct a triangle with sides \( \frac{3}{4} \), \( 1 \), and \( \frac{5}{4} \).

Answer: Student draws a triangle with the specified side lengths.

Question 10: A tank is filled with \( \frac{3}{5} \) of its capacity in 4 hours. How long would it take to fill the tank completely?

Answer: Approximately 6 hours.

Question 11: A student makes the mistake of adding \( \frac{1}{3} + \frac{1}{4} \) and gets \( \frac{7}{12} \). Correct their mistake.

Answer: Correct sum: \( \frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \). The calculation is correct; no mistake.

Question 12: Challenge: If \( \frac{a}{b} = \frac{3}{4} \) and \( \frac{b}{c} = \frac{2}{3} \), find \( \frac{a}{c} \).

Answer: 1