Question 1: Using the grid, shade the sections to represent the mixed number 3 1/4. Then, draw the equivalent improper fraction.

Answer: 13/4

Question 2: On the grid, represent the improper fraction 11/3. Convert it into a mixed number using visual shading.

Answer: 3 2/3

Question 3: Construct a diagram to show the mixed number 2 2/5. Then, write its improper fraction form.

Answer: 12/5

Question 4: Identify and correct the mistake in this visual conversion: the diagram shows 4 1/2 but is written as 9/2. Explain your correction.

Answer: Incorrect; 4 1/2 equals 9/2, so the diagram matches the improper fraction. The mistake was in labeling or interpretation, not the conversion.

Question 5: A rectangle grid is divided into 8 equal parts. Shade 3 3/4 of the parts to represent a mixed number. Then, write the equivalent improper fraction.

Answer: 15/4

Question 6: In a visual diagram, a student shades 7/3 of a grid. Convert this to a mixed number and explain your reasoning.

Answer: 2 1/3; because 7/3 = 2 wholes and 1/3 remaining.

Question 7: Visualize and shade the mixed number 1 4/5. Then, write the improper fraction.

Answer: 9/5

Question 8: Using the grid, represent the improper fraction 17/4. Convert it into a mixed number and justify your answer.

Answer: 4 1/4; 17/4 = 4 wholes and 1/4 remaining.

Question 9: Challenge: Shade the grid to show 5 2/3. Then, write the improper fraction form and explain the visual reasoning.

Answer: 17/3

Question 10: Complete this visually guided problem: A cake is cut into 8 equal slices. If 3 1/2 slices are eaten, shade the remaining slices and write the improper fraction for slices remaining.

Answer: 13/8

Question 11: Identify the common error: A student draws 3/4 of a grid and writes the mixed number 0 3/4. Correct the mistake and explain why the visual is correct or incorrect.

Answer: No mistake; 3/4 as a mixed number is 0 3/4, which is correct visually and numerically.