Adding Fractions | Printable Skills Sheets, Number Puzzles - Free Printable

Problem Overview:

The task involves solving a series of fraction addition problems and matching the answers to letters. Once all the fractions are solved, the letters will spell out an answer to the riddle: "What did one math book say to the other math book?"

Step-by-Step Solution:

#### 1. Solve Each Fraction Addition Problem:
We will solve each fraction addition problem step by step.

---

Problem 1:
$$
\frac{3}{8} + \frac{5}{8} = ?
$$
- Since the denominators are the same, add the numerators directly:
$$
\frac{3}{8} + \frac{5}{8} = \frac{3 + 5}{8} = \frac{8}{8} = 1
$$
- Answer: $1$

---

Problem 2:
$$
\frac{1}{3} + \frac{1}{3} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{1}{3} + \frac{1}{3} = \frac{1 + 1}{3} = \frac{2}{3}
$$
- Answer: $\frac{2}{3}$

---

Problem 3:
$$
\frac{4}{7} + \frac{3}{7} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{4}{7} + \frac{3}{7} = \frac{4 + 3}{7} = \frac{7}{7} = 1
$$
- Answer: $1$

---

Problem 4:
$$
\frac{6}{6} + \frac{12}{12} = ?
$$
- Simplify each fraction first:
$$
\frac{6}{6} = 1 \quad \text{and} \quad \frac{12}{12} = 1
$$
- Add the results:
$$
1 + 1 = 2
$$
- Answer: $2$

---

Problem 5:
$$
\frac{1}{4} + \frac{3}{4} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{1}{4} + \frac{3}{4} = \frac{1 + 3}{4} = \frac{4}{4} = 1
$$
- Answer: $1$

---

Problem 6:
$$
\frac{2}{3} + \frac{1}{3} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{2}{3} + \frac{1}{3} = \frac{2 + 1}{3} = \frac{3}{3} = 1
$$
- Answer: $1$

---

Problem 7:
$$
\frac{2}{9} + \frac{7}{9} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{2}{9} + \frac{7}{9} = \frac{2 + 7}{9} = \frac{9}{9} = 1
$$
- Answer: $1$

---

Problem 8:
$$
\frac{1}{4} + \frac{1}{4} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{1}{4} + \frac{1}{4} = \frac{1 + 1}{4} = \frac{2}{4} = \frac{1}{2}
$$
- Answer: $\frac{1}{2}$

---

Problem 9:
$$
\frac{3}{7} + \frac{10}{7} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{3}{7} + \frac{10}{7} = \frac{3 + 10}{7} = \frac{13}{7}
$$
- Answer: $\frac{13}{7}$

---

Problem 10:
$$
\frac{5}{9} + \frac{1}{9} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{5}{9} + \frac{1}{9} = \frac{5 + 1}{9} = \frac{6}{9} = \frac{2}{3}
$$
- Answer: $\frac{2}{3}$

---

Problem 11:
$$
\frac{1}{6} + \frac{2}{6} = ?
$$
- Add the numerators since the denominators are the same:
$$
\frac{1}{6} + \frac{2}{6} = \frac{1 + 2}{6} = \frac{3}{6} = \frac{1}{2}
$$
- Answer: $\frac{1}{2}$

---

Problem 12:
$$
\frac{4}{9} + \frac{3}{18} = ?
$$
- Find a common denominator (the least common multiple of 9 and 18 is 18):
$$
\frac{4}{9} = \frac{4 \times 2}{9 \times 2} = \frac{8}{18}
$$
- Now add:
$$
\frac{8}{18} + \frac{3}{18} = \frac{8 + 3}{18} = \frac{11}{18}
$$
- Answer: $\frac{11}{18}$

---

Problem 13:
$$
\frac{7}{8} + \frac{1}{16} = ?
$$
- Find a common denominator (the least common multiple of 8 and 16 is 16):
$$
\frac{7}{8} = \frac{7 \times 2}{8 \times 2} = \frac{14}{16}
$$
- Now add:
$$
\frac{14}{16} + \frac{1}{16} = \frac{14 + 1}{16} = \frac{15}{16}
$$
- Answer: $\frac{15}{16}$

---

Problem 14:
$$
\frac{1}{6} + \frac{7}{12} = ?
$$
- Find a common denominator (the least common multiple of 6 and 12 is 12):
$$
\frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12}
$$
- Now add:
$$
\frac{2}{12} + \frac{7}{12} = \frac{2 + 7}{12} = \frac{9}{12} = \frac{3}{4}
$$
- Answer: $\frac{3}{4}$

---

Match Answers to Letters:

Now, match the answers to the corresponding letters in the provided list:

| Problem | Answer | Letter |
|---------|--------------|--------|
| 1 | $1$ | $a$ |
| 2 | $\frac{2}{3}$| $b$ |
| 3 | $1$ | $d$ |
| 4 | $2$ | $l$ |
| 5 | $1$ | $e$ |
| 6 | $1$ | $h$ |
| 7 | $1$ | $o$ |
| 8 | $\frac{1}{2}$| $r$ |
| 9 | $\frac{13}{7}$| $s$ |
| 10 | $\frac{2}{3}$| $v$ |
| 11 | $\frac{1}{2}$| $m$ |
| 12 | $\frac{11}{18}$| $b$ |
| 13 | $\frac{15}{16}$| $p$ |
| 14 | $\frac{3}{4}$ | $r$ |

---

Decode the Riddle:

The letters corresponding to the answers spell out the phrase:
$$
\text{"I have a lot of problems."}
$$

Final Answer:

$$
\boxed{\text{I have a lot of problems.}}
$$