Printable math worksheet where students compare fractions to reveal the answer to 'What Is Rock 'N' Roll?'.

Problem Overview:

The task involves comparing fractions to determine whether one fraction is greater than (>), less than (<), or equal to (=) another fraction. Each comparison corresponds to a letter, and the results are used to fill in a matching numbered box at the bottom of the page.

Solution Approach:

1. Compare Fractions: For each pair of fractions, determine their relative sizes.
- Convert fractions to decimals or find a common denominator to compare them directly.
2. Circle the Correct Symbol: Write `>`, `<`, or `=` in the circle for each comparison.
3. Match Letters: Use the provided letter codes to fill in the corresponding numbered boxes at the bottom of the page.

Step-by-Step Solution:

#### Left Column (Problems 1–14)

1. Problem 1: $\frac{3}{8} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{3}{8} = 0.375$, $\frac{1}{2} = 0.5$.
- $0.375 < 0.5$.
- Answer: `<`
- Letter: `10-H`

2. Problem 2: $\frac{5}{8} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{5}{8} = 0.625$, $\frac{1}{2} = 0.5$.
- $0.625 > 0.5$.
- Answer: `>`
- Letter: `19-A`

3. Problem 3: $\frac{2}{4} \bigcirc \frac{1}{2}$
- Simplify $\frac{2}{4} = \frac{1}{2}$.
- $\frac{1}{2} = \frac{1}{2}$.
- Answer: `=`
- Letter: `31-I`

4. Problem 4: $\frac{5}{12} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{5}{12} \approx 0.417$, $\frac{1}{2} = 0.5$.
- $0.417 < 0.5$.
- Answer: `<`
- Letter: `15-T`

5. Problem 5: $\frac{7}{12} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{7}{12} \approx 0.583$, $\frac{1}{2} = 0.5$.
- $0.583 > 0.5$.
- Answer: `>`
- Letter: `5-N`

6. Problem 6: $\frac{5}{10} \bigcirc \frac{1}{2}$
- Simplify $\frac{5}{10} = \frac{1}{2}$.
- $\frac{1}{2} = \frac{1}{2}$.
- Answer: `=`
- Letter: `21-R`

7. Problem 7: $\frac{3}{5} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{3}{5} = 0.6$, $\frac{1}{2} = 0.5$.
- $0.6 > 0.5$.
- Answer: `>`
- Letter: `13-V`

8. Problem 8: $\frac{2}{5} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{2}{5} = 0.4$, $\frac{1}{2} = 0.5$.
- $0.4 < 0.5$.
- Answer: `<`
- Letter: `4-A`

9. Problem 9: $\frac{3}{7} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{3}{7} \approx 0.429$, $\frac{1}{2} = 0.5$.
- $0.429 < 0.5$.
- Answer: `<`
- Letter: `16-S`

10. Problem 10: $\frac{4}{7} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{4}{7} \approx 0.571$, $\frac{1}{2} = 0.5$.
- $0.571 > 0.5$.
- Answer: `>`
- Letter: `14-U`

11. Problem 11: $\frac{3}{6} \bigcirc \frac{1}{2}$
- Simplify $\frac{3}{6} = \frac{1}{2}$.
- $\frac{1}{2} = \frac{1}{2}$.
- Answer: `=`
- Letter: `3-G`

12. Problem 12: $\frac{11}{20} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{11}{20} = 0.55$, $\frac{1}{2} = 0.5$.
- $0.55 > 0.5$.
- Answer: `>`
- Letter: `6-F`

13. Problem 13: $\frac{5}{9} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{5}{9} \approx 0.556$, $\frac{1}{2} = 0.5$.
- $0.556 > 0.5$.
- Answer: `>`
- Letter: `18-P`

14. Problem 14: $\frac{7}{16} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{7}{16} = 0.4375$, $\frac{1}{2} = 0.5$.
- $0.4375 < 0.5$.
- Answer: `<`
- Letter: `13-H`

#### Right Column (Problems 15–28)

15. Problem 15: $\frac{5}{11} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{5}{11} \approx 0.455$, $\frac{1}{2} = 0.5$.
- $0.455 < 0.5$.
- Answer: `<`
- Letter: `27-I`

16. Problem 16: $\frac{6}{11} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{6}{11} \approx 0.545$, $\frac{1}{2} = 0.5$.
- $0.545 > 0.5$.
- Answer: `>`
- Letter: `14-A`

17. Problem 17: $\frac{9}{16} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{9}{16} = 0.5625$, $\frac{1}{2} = 0.5$.
- $0.5625 > 0.5$.
- Answer: `>`
- Letter: `22-S`

18. Problem 18: $\frac{4}{9} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{4}{9} \approx 0.444$, $\frac{1}{2} = 0.5$.
- $0.444 < 0.5$.
- Answer: `<`
- Letter: `34-O`

19. Problem 19: $\frac{51}{100} \bigcirc \frac{1}{2}$
- Convert to decimals: $\frac{51}{100} = 0.51$, $\frac{1}{2} = 0.5$.
- $0.51 > 0.5$.
- Answer: `>`
- Letter: `9-N`

20. Problem 20: $\frac{1}{2} \bigcirc \frac{1}{3}$
- Convert to decimals: $\frac{1}{2} = 0.5$, $\frac{1}{3} \approx 0.333$.
- $0.5 > 0.333$.
- Answer: `>`
- Letter: `6-D`

21. Problem 21: $\frac{1}{2} \bigcirc \frac{8}{16}$
- Simplify $\frac{8}{16} = \frac{1}{2}$.
- $\frac{1}{2} = \frac{1}{2}$.
- Answer: `=`
- Letter: `7-M`

22. Problem 22: $\frac{1}{2} \bigcirc \frac{7}{15}$
- Convert to decimals: $\frac{1}{2} = 0.5$, $\frac{7}{15} \approx 0.467$.
- $0.5 > 0.467$.
- Answer: `>`
- Letter: `20-J`

23. Problem 23: $\frac{1}{2} \bigcirc \frac{8}{15}$
- Convert to decimals: $\frac{1}{2} = 0.5$, $\frac{8}{15} \approx 0.533$.
- $0.5 < 0.533$.
- Answer: `<`
- Letter: `9-P`

24. Problem 24: $\frac{1}{2} \bigcirc \frac{25}{50}$
- Simplify $\frac{25}{50} = \frac{1}{2}$.
- $\frac{1}{2} = \frac{1}{2}$.
- Answer: `=`
- Letter: `25-A`

25. Problem 25: $\frac{1}{2} \bigcirc \frac{7}{10}$
- Convert to decimals: $\frac{1}{2} = 0.5$, $\frac{7}{10} = 0.7$.
- $0.5 < 0.7$.
- Answer: `<`
- Letter: `11-S`

26. Problem 26: $\frac{1}{2} \bigcirc \frac{2}{3}$
- Convert to decimals: $\frac{1}{2} = 0.5$, $\frac{2}{3} \approx 0.667$.
- $0.5 < 0.667$.
- Answer: `<`
- Letter: `30-N`

27. Problem 27: $\frac{1}{2} \bigcirc \frac{16}{32}$
- Simplify $\frac{16}{32} = \frac{1}{2}$.
- $\frac{1}{2} = \frac{1}{2}$.
- Answer: `=`
- Letter: `2-T`

28. Problem 28: $\frac{1}{2} \bigcirc \frac{50}{100}$
- Simplify $\frac{50}{100} = \frac{1}{2}$.
- $\frac{1}{2} = \frac{1}{2}$.
- Answer: `=`
- Letter: `22-Y`

Final Answer:

Using the letters from the comparisons, fill in the numbered boxes at the bottom of the page:

```
1. H
2. A
3. I
4. T
5. N
6. R
7. V
8. A
9. S
10. U
11. G
12. F
13. P
14. H
15. I
16. A
17. S
18. O
19. N
20. D
21. M
22. J
23. P
24. A
25. S
26. N
27. T
28. Y
```

Thus, the final answer is:

\boxed{HAI TV AS UNGFASOY}