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

To convert improper fractions to mixed numbers, 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 remains the same.

Let's solve each problem step by step.

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1. $\frac{27}{10}$

- Divide $27 \div 10$: Quotient = 2, Remainder = 7.
- Mixed number: $2 \frac{7}{10}$.

2. $\frac{18}{4}$

- Divide $18 \div 4$: Quotient = 4, Remainder = 2.
- Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
- Mixed number: $4 \frac{1}{2}$.

3. $\frac{43}{10}$

- Divide $43 \div 10$: Quotient = 4, Remainder = 3.
- Mixed number: $4 \frac{3}{10}$.

4. $\frac{5}{2}$

- Divide $5 \div 2$: Quotient = 2, Remainder = 1.
- Mixed number: $2 \frac{1}{2}$.

5. $\frac{17}{4}$

- Divide $17 \div 4$: Quotient = 4, Remainder = 1.
- Mixed number: $4 \frac{1}{4}$.

6. $\frac{23}{3}$

- Divide $23 \div 3$: Quotient = 7, Remainder = 2.
- Mixed number: $7 \frac{2}{3}$.

7. $\frac{35}{6}$

- Divide $35 \div 6$: Quotient = 5, Remainder = 5.
- Mixed number: $5 \frac{5}{6}$.

8. $\frac{18}{8}$

- Divide $18 \div 8$: Quotient = 2, Remainder = 2.
- Simplify $\frac{2}{8}$ to $\frac{1}{4}$.
- Mixed number: $2 \frac{1}{4}$.

9. $\frac{47}{7}$

- Divide $47 \div 7$: Quotient = 6, Remainder = 5.
- Mixed number: $6 \frac{5}{7}$.

10. $\frac{15}{6}$

- Divide $15 \div 6$: Quotient = 2, Remainder = 3.
- Simplify $\frac{3}{6}$ to $\frac{1}{2}$.
- Mixed number: $2 \frac{1}{2}$.

11. $\frac{19}{4}$

- Divide $19 \div 4$: Quotient = 4, Remainder = 3.
- Mixed number: $4 \frac{3}{4}$.

12. $\frac{27}{8}$

- Divide $27 \div 8$: Quotient = 3, Remainder = 3.
- Mixed number: $3 \frac{3}{8}$.

13. $\frac{53}{9}$

- Divide $53 \div 9$: Quotient = 5, Remainder = 8.
- Mixed number: $5 \frac{8}{9}$.

14. $\frac{22}{4}$

- Divide $22 \div 4$: Quotient = 5, Remainder = 2.
- Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
- Mixed number: $5 \frac{1}{2}$.

15. $\frac{33}{6}$

- Divide $33 \div 6$: Quotient = 5, Remainder = 3.
- Simplify $\frac{3}{6}$ to $\frac{1}{2}$.
- Mixed number: $5 \frac{1}{2}$.

16. $\frac{24}{9}$

- Divide $24 \div 9$: Quotient = 2, Remainder = 6.
- Simplify $\frac{6}{9}$ to $\frac{2}{3}$.
- Mixed number: $2 \frac{2}{3}$.

17. $\frac{21}{6}$

- Divide $21 \div 6$: Quotient = 3, Remainder = 3.
- Simplify $\frac{3}{6}$ to $\frac{1}{2}$.
- Mixed number: $3 \frac{1}{2}$.

18. $\frac{11}{2}$

- Divide $11 \div 2$: Quotient = 5, Remainder = 1.
- Mixed number: $5 \frac{1}{2}$.

19. $\frac{38}{10}$

- Divide $38 \div 10$: Quotient = 3, Remainder = 8.
- Simplify $\frac{8}{10}$ to $\frac{4}{5}$.
- Mixed number: $3 \frac{4}{5}$.

20. $\frac{23}{5}$

- Divide $23 \div 5$: Quotient = 4, Remainder = 3.
- Mixed number: $4 \frac{3}{5}$.

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Final Answers:

\[
\begin{aligned}
&\frac{27}{10} = 2 \frac{7}{10}, \quad \frac{18}{4} = 4 \frac{1}{2}, \\
&\frac{43}{10} = 4 \frac{3}{10}, \quad \frac{5}{2} = 2 \frac{1}{2}, \\
&\frac{17}{4} = 4 \frac{1}{4}, \quad \frac{23}{3} = 7 \frac{2}{3}, \\
&\frac{35}{6} = 5 \frac{5}{6}, \quad \frac{18}{8} = 2 \frac{1}{4}, \\
&\frac{47}{7} = 6 \frac{5}{7}, \quad \frac{15}{6} = 2 \frac{1}{2}, \\
&\frac{19}{4} = 4 \frac{3}{4}, \quad \frac{27}{8} = 3 \frac{3}{8}, \\
&\frac{53}{9} = 5 \frac{8}{9}, \quad \frac{22}{4} = 5 \frac{1}{2}, \\
&\frac{33}{6} = 5 \frac{1}{2}, \quad \frac{24}{9} = 2 \frac{2}{3}, \\
&\frac{21}{6} = 3 \frac{1}{2}, \quad \frac{11}{2} = 5 \frac{1}{2}, \\
&\frac{38}{10} = 3 \frac{4}{5}, \quad \frac{23}{5} = 4 \frac{3}{5}.
\end{aligned}
\]

\boxed{
\begin{aligned}
&2 \frac{7}{10}, \quad 4 \frac{1}{2}, \\
&4 \frac{3}{10}, \quad 2 \frac{1}{2}, \\
&4 \frac{1}{4}, \quad 7 \frac{2}{3}, \\
&5 \frac{5}{6}, \quad 2 \frac{1}{4}, \\
&6 \frac{5}{7}, \quad 2 \frac{1}{2}, \\
&4 \frac{3}{4}, \quad 3 \frac{3}{8}, \\
&5 \frac{8}{9}, \quad 5 \frac{1}{2}, \\
&5 \frac{1}{2}, \quad 2 \frac{2}{3}, \\
&3 \frac{1}{2}, \quad 5 \frac{1}{2}, \\
&3 \frac{4}{5}, \quad 4 \frac{3}{5}.
\end{aligned}
}