Question 1: Simplify and compare the fractions 3/4 and 5/8. Which is larger?

Answer: 3/4 is larger

Question 2: Convert 2/3 and 5/6 to have a common denominator and compare them.

Answer: 2/3 = 4/6, 5/6; 5/6 is larger

Question 3: Order the fractions 7/10, 3/5, and 4/8 from smallest to largest.

Answer: 4/8 = 1/2, 3/5, 7/10

Question 4: Identify the mistake in comparing 4/9 and 2/3 by converting both to decimals.

Answer: Incorrect decimal conversions led to wrong comparison; 4/9 ≈ 0.444, 2/3 ≈ 0.666, so 2/3 is larger

Question 5: Construct a pair of fractions with different denominators that are equal in value.

Answer: e.g., 3/6 and 1/2

Question 6: A recipe uses 2/5 cup of sugar, and another uses 3/8 cup. Which is greater? Show your working.

Answer: Convert to common denominator: 2/5 = 16/40, 3/8 = 15/40; 16/40 > 15/40, so 2/5 is larger

Question 7: Compare 9/16 and 5/9 by cross-multiplying. Which fraction is larger?

Answer: Cross-multiplied: 9×9=81, 5×16=80; 9/16 is larger

Question 8: Plot the graph of y = 2x for x values -2 to 2.

Answer: Students plot points (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4)

Question 9: Construct a triangle with sides of lengths 3/4, 5/8, and 7/8. Is it possible? Explain.

Answer: Yes, check triangle inequality: 3/4 + 5/8 > 7/8; 0.75+0.625=1.375 > 0.875, so possible

Question 10: Identify and correct the mistake when comparing 11/15 and 4/7 by converting to decimals.

Answer: Incorrect decimal: 11/15 ≈ 0.733, 4/7 ≈ 0.571; correct comparison shows 11/15 is larger