Question 1: Compare the fractions \( \frac{3}{8} \) and \( \frac{5}{8} \). Which is larger? Show your reasoning.

Answer: 5/8 is larger because 5 > 3 when denominators are same.

Question 2: Calculate whether \( \frac{7}{12} \) is greater than \( \frac{5}{12} \).

Answer: Yes, 7/12 > 5/12 because 7 > 5.

Question 3: A student claims that \( \frac{4}{9} \) is greater than \( \frac{4}{8} \). Is this correct? Explain your answer.

Answer: No, because 4/9 is less than 4/8, as 8 > 9 and the numerator is same.

Question 4: Identify the mistake in this comparison: \( \frac{6}{10} \) > \( \frac{4}{10} \).

Answer: The comparison is correct; no mistake. Both fractions have same denominator, so compare numerators.

Question 5: Order the fractions \( \frac{2}{7} \), \( \frac{5}{7} \), and \( \frac{3}{7} \) from smallest to largest.

Answer: 2/7, 3/7, 5/7

Question 6: Construct a number line on your grid paper and plot \( \frac{4}{9} \) and \( \frac{7}{9} \). Which is closer to \( 1 \)?

Answer: \( \frac{7}{9} \) is closer to 1 because 9 - 7 = 2 and 9 - 4 = 5.

Question 7: Explain why \( \frac{5}{12} \) and \( \frac{10}{24} \) are equal.

Answer: Because \( \frac{5}{12} = \frac{10}{24} \) after simplifying or cross-multiplying: 5×24 = 12×10.

Question 8: Identify the common mistake students make when comparing \( \frac{3}{8} \) and \( \frac{3}{5} \).

Answer: Students might wrongly compare numerators when denominators are different; must compare cross-products or convert to common denominator.

Question 9: Compare \( \frac{9}{10} \) and \( \frac{7}{10} \). Which is larger and why?

Answer: \( \frac{9}{10} \) is larger because 9 > 7.

Question 10: A student says that \( \frac{4}{9} \) is greater than \( \frac{4}{8} \). Is this correct? Why or why not?

Answer: No, because 4/8 = 1/2, which is greater than 4/9; the comparison should be based on numerator when denominators are same or cross-multiplied.

Question 11: Challenge: Without drawing, compare \( \frac{11}{15} \) and \( \frac{7}{15} \). Which is larger?

Answer: \( \frac{11}{15} \) is larger because 11 > 7.