Improper Fractions to Mixed Numbers Worksheet (examples, answers ... - Free Printable

To convert an improper fraction (where the numerator is greater than or equal to the denominator) to a mixed number, follow these steps:

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✔ Steps:

1. Divide the numerator by the denominator.
2. The quotient becomes the whole number part.
3. The remainder becomes the new numerator of the fractional part.
4. The denominator stays the same.

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Let’s solve each one:

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Left Column:

#### 1. $\frac{27}{10}$
- 27 ÷ 10 = 2 remainder 7
- → $2 \frac{7}{10}$

#### 2. $\frac{43}{10}$
- 43 ÷ 10 = 4 remainder 3
- → $4 \frac{3}{10}$

#### 3. $\frac{17}{4}$
- 17 ÷ 4 = 4 remainder 1
- → $4 \frac{1}{4}$

#### 4. $\frac{35}{6}$
- 35 ÷ 6 = 5 remainder 5
- → $5 \frac{5}{6}$

#### 5. $\frac{47}{7}$
- 47 ÷ 7 = 6 remainder 5
- → $6 \frac{5}{7}$

#### 6. $\frac{19}{4}$
- 19 ÷ 4 = 4 remainder 3
- → $4 \frac{3}{4}$

#### 7. $\frac{53}{9}$
- 53 ÷ 9 = 5 remainder 8
- → $5 \frac{8}{9}$

#### 8. $\frac{33}{6}$
- 33 ÷ 6 = 5 remainder 3 → but simplify $\frac{3}{6} = \frac{1}{2}$
- → $5 \frac{1}{2}$

#### 9. $\frac{21}{6}$
- 21 ÷ 6 = 3 remainder 3 → $\frac{3}{6} = \frac{1}{2}$
- → $3 \frac{1}{2}$

#### 10. $\frac{38}{10}$
- 38 ÷ 10 = 3 remainder 8 → $\frac{8}{10} = \frac{4}{5}$
- → $3 \frac{4}{5}$

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Right Column:

#### 1. $\frac{18}{4}$
- 18 ÷ 4 = 4 remainder 2 → $\frac{2}{4} = \frac{1}{2}$
- → $4 \frac{1}{2}$

#### 2. $\frac{5}{2}$
- 5 ÷ 2 = 2 remainder 1
- → $2 \frac{1}{2}$

#### 3. $\frac{23}{3}$
- 23 ÷ 3 = 7 remainder 2
- → $7 \frac{2}{3}$

#### 4. $\frac{18}{8}$
- 18 ÷ 8 = 2 remainder 2 → $\frac{2}{8} = \frac{1}{4}$
- → $2 \frac{1}{4}$

#### 5. $\frac{15}{6}$
- 15 ÷ 6 = 2 remainder 3 → $\frac{3}{6} = \frac{1}{2}$
- → $2 \frac{1}{2}$

#### 6. $\frac{27}{8}$
- 27 ÷ 8 = 3 remainder 3
- → $3 \frac{3}{8}$

#### 7. $\frac{22}{4}$
- 22 ÷ 4 = 5 remainder 2 → $\frac{2}{4} = \frac{1}{2}$
- → $5 \frac{1}{2}$

#### 8. $\frac{24}{9}$
- 24 ÷ 9 = 2 remainder 6 → $\frac{6}{9} = \frac{2}{3}$
- → $2 \frac{2}{3}$

#### 9. $\frac{11}{2}$
- 11 ÷ 2 = 5 remainder 1
- → $5 \frac{1}{2}$

#### 10. $\frac{23}{5}$
- 23 ÷ 5 = 4 remainder 3
- → $4 \frac{3}{5}$

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## ✔ Final Answers:

Left Column:

1. $2 \frac{7}{10}$
2. $4 \frac{3}{10}$
3. $4 \frac{1}{4}$
4. $5 \frac{5}{6}$
5. $6 \frac{5}{7}$
6. $4 \frac{3}{4}$
7. $5 \frac{8}{9}$
8. $5 \frac{1}{2}$
9. $3 \frac{1}{2}$
10. $3 \frac{4}{5}$

Right Column:

1. $4 \frac{1}{2}$
2. $2 \frac{1}{2}$
3. $7 \frac{2}{3}$
4. $2 \frac{1}{4}$
5. $2 \frac{1}{2}$
6. $3 \frac{3}{8}$
7. $5 \frac{1}{2}$
8. $2 \frac{2}{3}$
9. $5 \frac{1}{2}$
10. $4 \frac{3}{5}$

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✔ All answers are in simplest form. Let me know if you’d like to see the long division for any specific one!