Question 1: Simplify and compare the fractions \(rac{3}{4}\) and \(rac{5}{8}\). Which is larger?

Answer: 3/4 is larger

Question 2: Calculate whether \(rac{7}{10}\) is greater than or less than \(rac{4}{5}\). Show your working.

Answer: 7/10 < 4/5

Question 3: A designer is creating two window frames. Frame A has a glass pane of \(rac{2}{3}\) meters width, and Frame B has a pane of \(rac{5}{8}\) meters. Which frame has a larger glass pane? Show your reasoning.

Answer: Frame A has a larger glass pane because 2/3 > 5/8

Question 4: Construct a rectangle on the grid with a length of \(rac{3}{5}\) units and a width of \(rac{4}{7}\) units. Calculate its area in fractional form.

Answer: Area = (3/5) * (4/7) = 12/35

Question 5: Compare \(rac{9}{14}\) and \(rac{3}{6}\). Which fraction is larger? Show your working.

Answer: 9/14 > 3/6

Question 6: A blueprint shows a wall segment of \(rac{11}{15}\) meters and another of \(rac{5}{7}\) meters. Which segment is longer?

Answer: 11/15 is longer

Question 7: A furniture designer compares two chair legs. Leg A is \(rac{7}{9}\) meters long, and Leg B is \(rac{3}{4}\) meters long. Which is longer? Show your working.

Answer: 7/9 > 3/4

Question 8: In an architectural plan, a corridor width is \(rac{4}{5}\) meters, and the adjacent room is \(rac{3}{4}\) meters wide. Which is wider? Justify your answer.

Answer: 4/5 > 3/4, so corridor is wider

Question 9: Determine which of \(rac{5}{8}\) and \(rac{7}{10}\) is larger. Show your comparison process.

Answer: 7/10 > 5/8

Question 10: A designer plans two sections of a staircase. Section A has a rise of \(rac{3}{4}\) meters, and Section B has a rise of \(rac{2}{3}\) meters. Which section has a larger rise? Show your working.

Answer: 3/4 > 2/3

Question 11: Identify and correct the mistake: \(rac{2}{3}\) and \(rac{4}{6}\) are equal, so \(rac{2}{3}\) is larger.

Answer: Incorrect. \(rac{2}{3}\) and \(rac{4}{6}\) are equal; neither is larger.