Convert mixed numbers to improper fractions with this educational worksheet from Math-Salamanders.com.

Let's solve the problem step by step.

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🔧 How to Convert a Mixed Number to an Improper Fraction

A mixed number is made up of a whole number and a proper fraction (e.g., $ 2 \frac{1}{3} $).

To convert it into an improper fraction, follow these steps:

1. Multiply the whole number by the denominator.
2. Add the numerator to that product.
3. Place the result over the original denominator.

$$
\text{Improper Fraction} = \frac{(\text{Whole Number} \times \text{Denominator}) + \text{Numerator}}{\text{Denominator}}
$$

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We'll apply this method to each problem.

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✔ Let's Solve All Problems:

#### 1) $ 1 \frac{1}{3} $
$$
= \frac{(1 \times 3) + 1}{3} = \frac{3 + 1}{3} = \frac{4}{3}
$$

#### 2) $ 2 \frac{1}{2} $
$$
= \frac{(2 \times 2) + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2}
$$

#### 3) $ 1 \frac{3}{5} $
$$
= \frac{(1 \times 5) + 3}{5} = \frac{5 + 3}{5} = \frac{8}{5}
$$

#### 4) $ 2 \frac{1}{4} $
$$
= \frac{(2 \times 4) + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4}
$$

#### 5) $ 3 \frac{1}{3} $
$$
= \frac{(3 \times 3) + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}
$$

#### 6) $ 1 \frac{3}{4} $
$$
= \frac{(1 \times 4) + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4}
$$

#### 7) $ 2 \frac{1}{6} $
$$
= \frac{(2 \times 6) + 1}{6} = \frac{12 + 1}{6} = \frac{13}{6}
$$

#### 8) $ 4 \frac{1}{2} $
$$
= \frac{(4 \times 2) + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2}
$$

#### 9) $ 1 \frac{5}{6} $
$$
= \frac{(1 \times 6) + 5}{6} = \frac{6 + 5}{6} = \frac{11}{6}
$$

#### 10) $ 2 \frac{2}{5} $
$$
= \frac{(2 \times 5) + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5}
$$

#### 11) $ 2 \frac{1}{7} $
$$
= \frac{(2 \times 7) + 1}{7} = \frac{14 + 1}{7} = \frac{15}{7}
$$

#### 12) $ 1 \frac{3}{8} $
$$
= \frac{(1 \times 8) + 3}{8} = \frac{8 + 3}{8} = \frac{11}{8}
$$

#### 13) $ 4 \frac{1}{4} $
$$
= \frac{(4 \times 4) + 1}{4} = \frac{16 + 1}{4} = \frac{17}{4}
$$

#### 14) $ 5 \frac{2}{3} $
$$
= \frac{(5 \times 3) + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3}
$$

#### 15) $ 3 \frac{4}{5} $
$$
= \frac{(3 \times 5) + 4}{5} = \frac{15 + 4}{5} = \frac{19}{5}
$$

#### 16) $ 6 \frac{1}{3} $
$$
= \frac{(6 \times 3) + 1}{3} = \frac{18 + 1}{3} = \frac{19}{3}
$$

#### 17) $ 2 \frac{7}{8} $
$$
= \frac{(2 \times 8) + 7}{8} = \frac{16 + 7}{8} = \frac{23}{8}
$$

#### 18) $ 3 \frac{1}{9} $
$$
= \frac{(3 \times 9) + 1}{9} = \frac{27 + 1}{9} = \frac{28}{9}
$$

#### 19) $ 2 \frac{5}{8} $
$$
= \frac{(2 \times 8) + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}
$$

#### 20) $ 8 \frac{2}{5} $
$$
= \frac{(8 \times 5) + 2}{5} = \frac{40 + 2}{5} = \frac{42}{5}
$$

#### 21) $ 2 \frac{4}{9} $
$$
= \frac{(2 \times 9) + 4}{9} = \frac{18 + 4}{9} = \frac{22}{9}
$$

#### 22) $ 4 \frac{7}{10} $
$$
= \frac{(4 \times 10) + 7}{10} = \frac{40 + 7}{10} = \frac{47}{10}
$$

#### 23) $ 6 \frac{2}{9} $
$$
= \frac{(6 \times 9) + 2}{9} = \frac{54 + 2}{9} = \frac{56}{9}
$$

#### 24) $ 3 \frac{3}{7} $
$$
= \frac{(3 \times 7) + 3}{7} = \frac{21 + 3}{7} = \frac{24}{7}
$$

#### 25) $ 5 \frac{5}{6} $
$$
= \frac{(5 \times 6) + 5}{6} = \frac{30 + 5}{6} = \frac{35}{6}
$$

#### 26) $ 3 \frac{9}{10} $
$$
= \frac{(3 \times 10) + 9}{10} = \frac{30 + 9}{10} = \frac{39}{10}
$$

#### 27) $ 5 \frac{6}{11} $
$$
= \frac{(5 \times 11) + 6}{11} = \frac{55 + 6}{11} = \frac{61}{11}
$$

#### 28) $ 4 \frac{2}{15} $
$$
= \frac{(4 \times 15) + 2}{15} = \frac{60 + 2}{15} = \frac{62}{15}
$$

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✔ Final Answers:

| Problem | Answer |
|--------|--------------|
| 1) | $ \frac{4}{3} $ |
| 2) | $ \frac{5}{2} $ |
| 3) | $ \frac{8}{5} $ |
| 4) | $ \frac{9}{4} $ |
| 5) | $ \frac{10}{3} $ |
| 6) | $ \frac{7}{4} $ |
| 7) | $ \frac{13}{6} $ |
| 8) | $ \frac{9}{2} $ |
| 9) | $ \frac{11}{6} $ |
| 10) | $ \frac{12}{5} $ |
| 11) | $ \frac{15}{7} $ |
| 12) | $ \frac{11}{8} $ |
| 13) | $ \frac{17}{4} $ |
| 14) | $ \frac{17}{3} $ |
| 15) | $ \frac{19}{5} $ |
| 16) | $ \frac{19}{3} $ |
| 17) | $ \frac{23}{8} $ |
| 18) | $ \frac{28}{9} $ |
| 19) | $ \frac{21}{8} $ |
| 20) | $ \frac{42}{5} $ |
| 21) | $ \frac{22}{9} $ |
| 22) | $ \frac{47}{10} $ |
| 23) | $ \frac{56}{9} $ |
| 24) | $ \frac{24}{7} $ |
| 25) | $ \frac{35}{6} $ |
| 26) | $ \frac{39}{10} $ |
| 27) | $ \frac{61}{11} $ |
| 28) | $ \frac{62}{15} $ |

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✔ All answers are in improper fraction form as required. No simplification was needed.

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