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

Let's solve each improper fraction by converting it to a mixed number.

To convert an improper fraction to a mixed number, follow these steps:

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

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Let's go through each one:

#### 1. $ \frac{27}{10} $
- $ 27 \div 10 = 2 $ remainder $ 7 $
- So, $ \frac{27}{10} = 2 \frac{7}{10} $

#### 2. $ \frac{18}{4} $
- $ 18 \div 4 = 4 $ remainder $ 2 $
- Simplify $ \frac{2}{4} = \frac{1}{2} $
- So, $ \frac{18}{4} = 4 \frac{1}{2} $

#### 3. $ \frac{43}{10} $
- $ 43 \div 10 = 4 $ remainder $ 3 $
- So, $ \frac{43}{10} = 4 \frac{3}{10} $

#### 4. $ \frac{5}{2} $
- $ 5 \div 2 = 2 $ remainder $ 1 $
- So, $ \frac{5}{2} = 2 \frac{1}{2} $

#### 5. $ \frac{17}{4} $
- $ 17 \div 4 = 4 $ remainder $ 1 $
- So, $ \frac{17}{4} = 4 \frac{1}{4} $

#### 6. $ \frac{23}{3} $
- $ 23 \div 3 = 7 $ remainder $ 2 $
- So, $ \frac{23}{3} = 7 \frac{2}{3} $

#### 7. $ \frac{35}{6} $
- $ 35 \div 6 = 5 $ remainder $ 5 $
- So, $ \frac{35}{6} = 5 \frac{5}{6} $

#### 8. $ \frac{18}{8} $
- $ 18 \div 8 = 2 $ remainder $ 2 $
- Simplify $ \frac{2}{8} = \frac{1}{4} $
- So, $ \frac{18}{8} = 2 \frac{1}{4} $

#### 9. $ \frac{47}{7} $
- $ 47 \div 7 = 6 $ remainder $ 5 $
- So, $ \frac{47}{7} = 6 \frac{5}{7} $

#### 10. $ \frac{15}{6} $
- $ 15 \div 6 = 2 $ remainder $ 3 $
- Simplify $ \frac{3}{6} = \frac{1}{2} $
- So, $ \frac{15}{6} = 2 \frac{1}{2} $

#### 11. $ \frac{19}{4} $
- $ 19 \div 4 = 4 $ remainder $ 3 $
- So, $ \frac{19}{4} = 4 \frac{3}{4} $

#### 12. $ \frac{27}{8} $
- $ 27 \div 8 = 3 $ remainder $ 3 $
- So, $ \frac{27}{8} = 3 \frac{3}{8} $

#### 13. $ \frac{53}{9} $
- $ 53 \div 9 = 5 $ remainder $ 8 $
- So, $ \frac{53}{9} = 5 \frac{8}{9} $

#### 14. $ \frac{22}{4} $
- $ 22 \div 4 = 5 $ remainder $ 2 $
- Simplify $ \frac{2}{4} = \frac{1}{2} $
- So, $ \frac{22}{4} = 5 \frac{1}{2} $

#### 15. $ \frac{33}{6} $
- $ 33 \div 6 = 5 $ remainder $ 3 $
- Simplify $ \frac{3}{6} = \frac{1}{2} $
- So, $ \frac{33}{6} = 5 \frac{1}{2} $

#### 16. $ \frac{24}{9} $
- $ 24 \div 9 = 2 $ remainder $ 6 $
- Simplify $ \frac{6}{9} = \frac{2}{3} $
- So, $ \frac{24}{9} = 2 \frac{2}{3} $

#### 17. $ \frac{21}{6} $
- $ 21 \div 6 = 3 $ remainder $ 3 $
- Simplify $ \frac{3}{6} = \frac{1}{2} $
- So, $ \frac{21}{6} = 3 \frac{1}{2} $

#### 18. $ \frac{11}{2} $
- $ 11 \div 2 = 5 $ remainder $ 1 $
- So, $ \frac{11}{2} = 5 \frac{1}{2} $

#### 19. $ \frac{38}{10} $
- $ 38 \div 10 = 3 $ remainder $ 8 $
- Simplify $ \frac{8}{10} = \frac{4}{5} $
- So, $ \frac{38}{10} = 3 \frac{4}{5} $

#### 20. $ \frac{23}{5} $
- $ 23 \div 5 = 4 $ remainder $ 3 $
- So, $ \frac{23}{5} = 4 \frac{3}{5} $

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Final Answers:

$$
\begin{aligned}
\frac{27}{10} &= 2 \frac{7}{10} \\
\frac{18}{4} &= 4 \frac{1}{2} \\
\frac{43}{10} &= 4 \frac{3}{10} \\
\frac{5}{2} &= 2 \frac{1}{2} \\
\frac{17}{4} &= 4 \frac{1}{4} \\
\frac{23}{3} &= 7 \frac{2}{3} \\
\frac{35}{6} &= 5 \frac{5}{6} \\
\frac{18}{8} &= 2 \frac{1}{4} \\
\frac{47}{7} &= 6 \frac{5}{7} \\
\frac{15}{6} &= 2 \frac{1}{2} \\
\frac{19}{4} &= 4 \frac{3}{4} \\
\frac{27}{8} &= 3 \frac{3}{8} \\
\frac{53}{9} &= 5 \frac{8}{9} \\
\frac{22}{4} &= 5 \frac{1}{2} \\
\frac{33}{6} &= 5 \frac{1}{2} \\
\frac{24}{9} &= 2 \frac{2}{3} \\
\frac{21}{6} &= 3 \frac{1}{2} \\
\frac{38}{10} &= 3 \frac{4}{5} \\
\frac{23}{5} &= 4 \frac{3}{5} \\
\end{aligned}
$$

✔ All fractions have been converted correctly to mixed numbers, with simplification where needed.

Let me know if you'd like this in a printable format or need help understanding any step!