1. Put the fractions on the top row in order starting with the smallest. Convert mixed numbers to improper fractions or decimals for easy comparison: - $3\frac{3}{5} = 3 + \frac{3}{5} = 3.6$ - $2\frac{3}{10} = 2 + \frac{3}{10} = 2.3$ - $2\frac{4}{5} = 2 + \frac{4}{5} = 2.8$ - $1\frac{1}{10} = 1 + \frac{1}{10} = 1.1$ Order from smallest to biggest: $1\frac{1}{10}, 2\frac{3}{10}, 2\frac{4}{5}, 3\frac{3}{5}$ 2. Put the fractions on the bottom row in order starting with the biggest. Bottom row fractions: - $2\frac{7}{12} = 2 + \frac{7}{12} \approx 2.5833$ - $5\frac{1}{2} = 5 + \frac{1}{2} = 5.5$ - $1\frac{3}{4} = 1 + \frac{3}{4} = 1.75$ - $5\frac{3}{8} = 5 + \frac{3}{8} = 5.375$ Order from biggest to smallest: $5\frac{1}{2}, 5\frac{3}{8}, 2\frac{7}{12}, 1\frac{3}{4}$ 3. Difference between biggest and smallest fractions on the top row: Biggest: $3\frac{3}{5} = 3.6$ Smallest: $1\frac{1}{10} = 1.1$ Difference: $$3.6 - 1.1 = 2.5$$ 4. Difference between biggest and smallest fractions on the first column: First column fractions: - Top: $3\frac{3}{5} = 3.6$ - Middle: $4\frac{3}{4} = 4.75$ - Bottom: $2\frac{7}{12} \approx 2.5833$ Biggest: $4.75$ Smallest: $2.5833$ Difference: $$4.75 - 2.5833 = 2.1667$$ 5. Difference between biggest and smallest fractions on the second column: Second column fractions: - Top: $2\frac{3}{10} = 2.3$ - Middle: $4\frac{7}{12} \approx 4.5833$ - Bottom: $5\frac{1}{2} = 5.5$ Biggest: $5.5$ Smallest: $2.3$ Difference: $$5.5 - 2.3 = 3.2$$ 6. Sum of biggest and smallest fractions on the top row: Biggest: $3.6$ Smallest: $1.1$ Sum: $$3.6 + 1.1 = 4.7 = 4\frac{7}{10}$$ 7. Sum of biggest and smallest fractions on the bottom row: Biggest: $5.5$ Smallest: $1.75$ Sum: $$5.5 + 1.75 = 7.25 = 7\frac{1}{4}$$ 8. Sum of biggest and smallest fractions on the first column: Biggest: $4.75$ Smallest: $2.5833$ Sum: $$4.75 + 2.5833 = 7.3333 = 7\frac{1}{3}$$ 9. Sum of biggest and smallest fractions on the second column: Biggest: $5.5$ Smallest: $2.3$ Sum: $$5.5 + 2.3 = 7.8 = 7\frac{4}{5}$$ 10. Biggest fraction on the Target Board: Check all fractions: - $3\frac{3}{5} = 3.6$ - $2\frac{3}{10} = 2.3$ - $2\frac{4}{5} = 2.8$ - $1\frac{1}{10} = 1.1$ - $4\frac{3}{4} = 4.75$ - $4\frac{7}{12} \approx 4.5833$ - $5\frac{5}{8} = 5.625$ - $3\frac{1}{6} = 3.1667$ - $2\frac{7}{12} = 2.5833$ - $5\frac{1}{2} = 5.5$ - $1\frac{3}{4} = 1.75$ - $5\frac{3}{8} = 5.375$ Biggest is $5\frac{5}{8} = 5.625$ Answers to fill in missing numbers: 1. $6$, $5\frac{1}{3}$, $4\frac{2}{3}$ 2. $9\frac{1}{3}$, $8\frac{2}{3}$ 3. $4\frac{1}{2}$, $4\frac{1}{6}$