Adding Fractions with Whole Numbers Worksheets - Free Printable

Problem: Solving the Addition of Fractions

The task involves solving 16 problems related to adding fractions. Below, I will solve each problem step by step and explain the process.

---

#### Problem 1: \( 7 + \frac{8}{5} \)

- Step 1: Convert the whole number \( 7 \) into a fraction with the same denominator as \( \frac{8}{5} \).
\[
7 = \frac{7 \times 5}{5} = \frac{35}{5}
\]
- Step 2: Add the fractions.
\[
\frac{35}{5} + \frac{8}{5} = \frac{35 + 8}{5} = \frac{43}{5}
\]
- Final Answer: \( \frac{43}{5} \)

---

#### Problem 2: \( 2 + \frac{19}{10} \)

- Step 1: Convert the whole number \( 2 \) into a fraction with the same denominator as \( \frac{19}{10} \).
\[
2 = \frac{2 \times 10}{10} = \frac{20}{10}
\]
- Step 2: Add the fractions.
\[
\frac{20}{10} + \frac{19}{10} = \frac{20 + 19}{10} = \frac{39}{10}
\]
- Final Answer: \( \frac{39}{10} \)

---

#### Problem 3: \( \frac{22}{25} + 3 \)

- Step 1: Convert the whole number \( 3 \) into a fraction with the same denominator as \( \frac{22}{25} \).
\[
3 = \frac{3 \times 25}{25} = \frac{75}{25}
\]
- Step 2: Add the fractions.
\[
\frac{22}{25} + \frac{75}{25} = \frac{22 + 75}{25} = \frac{97}{25}
\]
- Final Answer: \( \frac{97}{25} \)

---

#### Problem 4: \( \frac{13}{12} + 8 \)

- Step 1: Convert the whole number \( 8 \) into a fraction with the same denominator as \( \frac{13}{12} \).
\[
8 = \frac{8 \times 12}{12} = \frac{96}{12}
\]
- Step 2: Add the fractions.
\[
\frac{13}{12} + \frac{96}{12} = \frac{13 + 96}{12} = \frac{109}{12}
\]
- Final Answer: \( \frac{109}{12} \)

---

#### Problem 5: \( \frac{11}{7} + 9 \)

- Step 1: Convert the whole number \( 9 \) into a fraction with the same denominator as \( \frac{11}{7} \).
\[
9 = \frac{9 \times 7}{7} = \frac{63}{7}
\]
- Step 2: Add the fractions.
\[
\frac{11}{7} + \frac{63}{7} = \frac{11 + 63}{7} = \frac{74}{7}
\]
- Final Answer: \( \frac{74}{7} \)

---

#### Problem 6: \( \frac{5}{8} + 6 \)

- Step 1: Convert the whole number \( 6 \) into a fraction with the same denominator as \( \frac{5}{8} \).
\[
6 = \frac{6 \times 8}{8} = \frac{48}{8}
\]
- Step 2: Add the fractions.
\[
\frac{5}{8} + \frac{48}{8} = \frac{5 + 48}{8} = \frac{53}{8}
\]
- Final Answer: \( \frac{53}{8} \)

---

#### Problem 7: \( 5 + \frac{9}{4} \)

- Step 1: Convert the whole number \( 5 \) into a fraction with the same denominator as \( \frac{9}{4} \).
\[
5 = \frac{5 \times 4}{4} = \frac{20}{4}
\]
- Step 2: Add the fractions.
\[
\frac{20}{4} + \frac{9}{4} = \frac{20 + 9}{4} = \frac{29}{4}
\]
- Final Answer: \( \frac{29}{4} \)

---

#### Problem 8: \( 4 + \frac{13}{8} \)

- Step 1: Convert the whole number \( 4 \) into a fraction with the same denominator as \( \frac{13}{8} \).
\[
4 = \frac{4 \times 8}{8} = \frac{32}{8}
\]
- Step 2: Add the fractions.
\[
\frac{32}{8} + \frac{13}{8} = \frac{32 + 13}{8} = \frac{45}{8}
\]
- Final Answer: \( \frac{45}{8} \)

---

#### Problem 9: \( \frac{27}{8} + 2 \)

- Step 1: Convert the whole number \( 2 \) into a fraction with the same denominator as \( \frac{27}{8} \).
\[
2 = \frac{2 \times 8}{8} = \frac{16}{8}
\]
- Step 2: Add the fractions.
\[
\frac{27}{8} + \frac{16}{8} = \frac{27 + 16}{8} = \frac{43}{8}
\]
- Final Answer: \( \frac{43}{8} \)

---

#### Problem 10: \( \frac{12}{11} + 7 \)

- Step 1: Convert the whole number \( 7 \) into a fraction with the same denominator as \( \frac{12}{11} \).
\[
7 = \frac{7 \times 11}{11} = \frac{77}{11}
\]
- Step 2: Add the fractions.
\[
\frac{12}{11} + \frac{77}{11} = \frac{12 + 77}{11} = \frac{89}{11}
\]
- Final Answer: \( \frac{89}{11} \)

---

#### Problem 11: \( \frac{13}{12} + 4 \)

- Step 1: Convert the whole number \( 4 \) into a fraction with the same denominator as \( \frac{13}{12} \).
\[
4 = \frac{4 \times 12}{12} = \frac{48}{12}
\]
- Step 2: Add the fractions.
\[
\frac{13}{12} + \frac{48}{12} = \frac{13 + 48}{12} = \frac{61}{12}
\]
- Final Answer: \( \frac{61}{12} \)

---

#### Problem 12: \( 9 + \frac{4}{7} \)

- Step 1: Convert the whole number \( 9 \) into a fraction with the same denominator as \( \frac{4}{7} \).
\[
9 = \frac{9 \times 7}{7} = \frac{63}{7}
\]
- Step 2: Add the fractions.
\[
\frac{63}{7} + \frac{4}{7} = \frac{63 + 4}{7} = \frac{67}{7}
\]
- Final Answer: \( \frac{67}{7} \)

---

#### Problem 13: \( 8 + \frac{7}{2} \)

- Step 1: Convert the whole number \( 8 \) into a fraction with the same denominator as \( \frac{7}{2} \).
\[
8 = \frac{8 \times 2}{2} = \frac{16}{2}
\]
- Step 2: Add the fractions.
\[
\frac{16}{2} + \frac{7}{2} = \frac{16 + 7}{2} = \frac{23}{2}
\]
- Final Answer: \( \frac{23}{2} \)

---

#### Problem 14: \( 1 + \frac{16}{7} \)

- Step 1: Convert the whole number \( 1 \) into a fraction with the same denominator as \( \frac{16}{7} \).
\[
1 = \frac{1 \times 7}{7} = \frac{7}{7}
\]
- Step 2: Add the fractions.
\[
\frac{7}{7} + \frac{16}{7} = \frac{7 + 16}{7} = \frac{23}{7}
\]
- Final Answer: \( \frac{23}{7} \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & \frac{43}{5} \\
2) & \frac{39}{10} \\
3) & \frac{97}{25} \\
4) & \frac{109}{12} \\
5) & \frac{74}{7} \\
6) & \frac{53}{8} \\
7) & \frac{29}{4} \\
8) & \frac{45}{8} \\
9) & \frac{43}{8} \\
10) & \frac{89}{11} \\
11) & \frac{61}{12} \\
12) & \frac{67}{7} \\
13) & \frac{23}{2} \\
14) & \frac{23}{7} \\
\end{array}
}
\]