Mixed Number Fraction to Improper Fraction Worksheet Download - Free Printable

Problem Overview:

The task is to convert mixed numbers into improper fractions. The steps provided in the example are as follows:
1. Multiply the denominator by the whole number.
2. Add the result from step 1 to the numerator.
3. Write the sum as the new numerator, keeping the original denominator.

We will solve each problem step by step using this method.

---

Solution:

#### 1) \( 2 \frac{4}{10} \)
- Step 1: Multiply the denominator (10) by the whole number (2).
\[
10 \times 2 = 20
\]
- Step 2: Add the result (20) to the numerator (4).
\[
20 + 4 = 24
\]
- Step 3: Write the sum (24) as the new numerator, keeping the original denominator (10).
\[
\frac{24}{10}
\]

Answer: \( \frac{24}{10} \)

---

#### 2) \( 6 \frac{4}{9} \)
- Step 1: Multiply the denominator (9) by the whole number (6).
\[
9 \times 6 = 54
\]
- Step 2: Add the result (54) to the numerator (4).
\[
54 + 4 = 58
\]
- Step 3: Write the sum (58) as the new numerator, keeping the original denominator (9).
\[
\frac{58}{9}
\]

Answer: \( \frac{58}{9} \)

---

#### 3) \( 10 \frac{1}{2} \)
- Step 1: Multiply the denominator (2) by the whole number (10).
\[
2 \times 10 = 20
\]
- Step 2: Add the result (20) to the numerator (1).
\[
20 + 1 = 21
\]
- Step 3: Write the sum (21) as the new numerator, keeping the original denominator (2).
\[
\frac{21}{2}
\]

Answer: \( \frac{21}{2} \)

---

#### 4) \( 9 \frac{5}{8} \)
- Step 1: Multiply the denominator (8) by the whole number (9).
\[
8 \times 9 = 72
\]
- Step 2: Add the result (72) to the numerator (5).
\[
72 + 5 = 77
\]
- Step 3: Write the sum (77) as the new numerator, keeping the original denominator (8).
\[
\frac{77}{8}
\]

Answer: \( \frac{77}{8} \)

---

#### 5) \( 2 \frac{4}{8} \)
- Step 1: Multiply the denominator (8) by the whole number (2).
\[
8 \times 2 = 16
\]
- Step 2: Add the result (16) to the numerator (4).
\[
16 + 4 = 20
\]
- Step 3: Write the sum (20) as the new numerator, keeping the original denominator (8).
\[
\frac{20}{8}
\]

Answer: \( \frac{20}{8} \)

---

#### 6) \( 9 \frac{4}{6} \)
- Step 1: Multiply the denominator (6) by the whole number (9).
\[
6 \times 9 = 54
\]
- Step 2: Add the result (54) to the numerator (4).
\[
54 + 4 = 58
\]
- Step 3: Write the sum (58) as the new numerator, keeping the original denominator (6).
\[
\frac{58}{6}
\]

Answer: \( \frac{58}{6} \)

---

#### 7) \( 3 \frac{4}{6} \)
- Step 1: Multiply the denominator (6) by the whole number (3).
\[
6 \times 3 = 18
\]
- Step 2: Add the result (18) to the numerator (4).
\[
18 + 4 = 22
\]
- Step 3: Write the sum (22) as the new numerator, keeping the original denominator (6).
\[
\frac{22}{6}
\]

Answer: \( \frac{22}{6} \)

---

#### 8) \( 1 \frac{1}{2} \)
- Step 1: Multiply the denominator (2) by the whole number (1).
\[
2 \times 1 = 2
\]
- Step 2: Add the result (2) to the numerator (1).
\[
2 + 1 = 3
\]
- Step 3: Write the sum (3) as the new numerator, keeping the original denominator (2).
\[
\frac{3}{2}
\]

Answer: \( \frac{3}{2} \)

---

#### 9) \( 6 \frac{6}{8} \)
- Step 1: Multiply the denominator (8) by the whole number (6).
\[
8 \times 6 = 48
\]
- Step 2: Add the result (48) to the numerator (6).
\[
48 + 6 = 54
\]
- Step 3: Write the sum (54) as the new numerator, keeping the original denominator (8).
\[
\frac{54}{8}
\]

Answer: \( \frac{54}{8} \)

---

#### 10) \( 4 \frac{1}{3} \)
- Step 1: Multiply the denominator (3) by the whole number (4).
\[
3 \times 4 = 12
\]
- Step 2: Add the result (12) to the numerator (1).
\[
12 + 1 = 13
\]
- Step 3: Write the sum (13) as the new numerator, keeping the original denominator (3).
\[
\frac{13}{3}
\]

Answer: \( \frac{13}{3} \)

---

#### 11) \( 10 \frac{4}{7} \)
- Step 1: Multiply the denominator (7) by the whole number (10).
\[
7 \times 10 = 70
\]
- Step 2: Add the result (70) to the numerator (4).
\[
70 + 4 = 74
\]
- Step 3: Write the sum (74) as the new numerator, keeping the original denominator (7).
\[
\frac{74}{7}
\]

Answer: \( \frac{74}{7} \)

---

#### 12) \( 3 \frac{2}{4} \)
- Step 1: Multiply the denominator (4) by the whole number (3).
\[
4 \times 3 = 12
\]
- Step 2: Add the result (12) to the numerator (2).
\[
12 + 2 = 14
\]
- Step 3: Write the sum (14) as the new numerator, keeping the original denominator (4).
\[
\frac{14}{4}
\]

Answer: \( \frac{14}{4} \)

---

#### 13) \( 3 \frac{7}{8} \)
- Step 1: Multiply the denominator (8) by the whole number (3).
\[
8 \times 3 = 24
\]
- Step 2: Add the result (24) to the numerator (7).
\[
24 + 7 = 31
\]
- Step 3: Write the sum (31) as the new numerator, keeping the original denominator (8).
\[
\frac{31}{8}
\]

Answer: \( \frac{31}{8} \)

---

#### 14) \( 7 \frac{3}{4} \)
- Step 1: Multiply the denominator (4) by the whole number (7).
\[
4 \times 7 = 28
\]
- Step 2: Add the result (28) to the numerator (3).
\[
28 + 3 = 31
\]
- Step 3: Write the sum (31) as the new numerator, keeping the original denominator (4).
\[
\frac{31}{4}
\]

Answer: \( \frac{31}{4} \)

---

#### 15) \( 10 \frac{2}{9} \)
- Step 1: Multiply the denominator (9) by the whole number (10).
\[
9 \times 10 = 90
\]
- Step 2: Add the result (90) to the numerator (2).
\[
90 + 2 = 92
\]
- Step 3: Write the sum (92) as the new numerator, keeping the original denominator (9).
\[
\frac{92}{9}
\]

Answer: \( \frac{92}{9} \)

---

#### 16) \( 2 \frac{4}{6} \)
- Step 1: Multiply the denominator (6) by the whole number (2).
\[
6 \times 2 = 12
\]
- Step 2: Add the result (12) to the numerator (4).
\[
12 + 4 = 16
\]
- Step 3: Write the sum (16) as the new numerator, keeping the original denominator (6).
\[
\frac{16}{6}
\]

Answer: \( \frac{16}{6} \)

---

#### 17) \( 3 \frac{6}{9} \)
- Step 1: Multiply the denominator (9) by the whole number (3).
\[
9 \times 3 = 27
\]
- Step 2: Add the result (27) to the numerator (6).
\[
27 + 6 = 33
\]
- Step 3: Write the sum (33) as the new numerator, keeping the original denominator (9).
\[
\frac{33}{9}
\]

Answer: \( \frac{33}{9} \)

---

Final Answers:

\[
\boxed{
\begin{array}{lll}
1) & \frac{24}{10} & 2) & \frac{58}{9} & 3) & \frac{21}{2} \\
4) & \frac{77}{8} & 5) & \frac{20}{8} & 6) & \frac{58}{6} \\
7) & \frac{22}{6} & 8) & \frac{3}{2} & 9) & \frac{54}{8} \\
10) & \frac{13}{3} & 11) & \frac{74}{7} & 12) & \frac{14}{4} \\
13) & \frac{31}{8} & 14) & \frac{31}{4} & 15) & \frac{92}{9} \\
16) & \frac{16}{6} & 17) & \frac{33}{9} &
\end{array}
}
\]