Improper Fraction Worksheets - Free Printable

The task involves converting improper fractions to mixed numbers. An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). A mixed number consists of a whole number and a proper fraction.

Steps to Convert an Improper Fraction to a Mixed Number:

1. Divide the numerator by the denominator:
- The quotient becomes the whole number part of the mixed number.
- The remainder becomes the numerator of the fractional part.
- The denominator remains the same.

2. Write the result as a mixed number:
- Combine the whole number part, the remainder as the numerator, and the original denominator.

Let's solve each problem step by step using this method.

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Problem 1: $\frac{7}{3}$

- Divide $7 \div 3$:
- Quotient = $2$
- Remainder = $1$
- Write as a mixed number: $2 \frac{1}{3}$

Problem 2: $\frac{5}{4}$

- Divide $5 \div 4$:
- Quotient = $1$
- Remainder = $1$
- Write as a mixed number: $1 \frac{1}{4}$

Problem 3: $\frac{12}{5}$

- Divide $12 \div 5$:
- Quotient = $2$
- Remainder = $2$
- Write as a mixed number: $2 \frac{2}{5}$

Problem 4: $\frac{7}{2}$

- Divide $7 \div 2$:
- Quotient = $3$
- Remainder = $1$
- Write as a mixed number: $3 \frac{1}{2}$

Problem 5: $\frac{7}{6}$

- Divide $7 \div 6$:
- Quotient = $1$
- Remainder = $1$
- Write as a mixed number: $1 \frac{1}{6}$

Problem 6: $\frac{11}{4}$

- Divide $11 \div 4$:
- Quotient = $2$
- Remainder = $3$
- Write as a mixed number: $2 \frac{3}{4}$

Problem 7: $\frac{11}{8}$

- Divide $11 \div 8$:
- Quotient = $1$
- Remainder = $3$
- Write as a mixed number: $1 \frac{3}{8}$

Problem 8: $\frac{8}{3}$

- Divide $8 \div 3$:
- Quotient = $2$
- Remainder = $2$
- Write as a mixed number: $2 \frac{2}{3}$

Problem 9: $\frac{9}{5}$

- Divide $9 \div 5$:
- Quotient = $1$
- Remainder = $4$
- Write as a mixed number: $1 \frac{4}{5}$

Problem 10: $\frac{13}{4}$

- Divide $13 \div 4$:
- Quotient = $3$
- Remainder = $1$
- Write as a mixed number: $3 \frac{1}{4}$

Problem 11: $\frac{17}{6}$

- Divide $17 \div 6$:
- Quotient = $2$
- Remainder = $5$
- Write as a mixed number: $2 \frac{5}{6}$

Problem 12: $\frac{13}{10}$

- Divide $13 \div 10$:
- Quotient = $1$
- Remainder = $3$
- Write as a mixed number: $1 \frac{3}{10}$

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 2 \frac{1}{3} \\
2) & 1 \frac{1}{4} \\
3) & 2 \frac{2}{5} \\
4) & 3 \frac{1}{2} \\
5) & 1 \frac{1}{6} \\
6) & 2 \frac{3}{4} \\
7) & 1 \frac{3}{8} \\
8) & 2 \frac{2}{3} \\
9) & 1 \frac{4}{5} \\
10) & 3 \frac{1}{4} \\
11) & 2 \frac{5}{6} \\
12) & 1 \frac{3}{10} \\
\end{array}
}
\]