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Convert improper fractions to mixed numbers with this educational worksheet.

Worksheet titled "Improper Fraction to Mixed Number Worksheet" with ten problems converting improper fractions to mixed numbers.

Worksheet titled "Improper Fraction to Mixed Number Worksheet" with ten problems converting improper fractions to mixed numbers.

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Show Answer Key & Explanations Step-by-step solution for: Improper Fraction To Mixed Number Worksheet
To convert an improper fraction to a mixed number, you divide the numerator (top number) by the denominator (bottom number).

1. Divide the top number by the bottom number to get the whole number part.
2. The remainder becomes the new numerator.
3. The denominator stays the same.
4. Simplify the fraction part if possible.

Here is the step-by-step solution for each problem:

1) $\frac{7}{3}$
* $7 \div 3 = 2$ with a remainder of $1$.
* Whole number: $2$
* Fraction: $\frac{1}{3}$
* Answer: $2 \frac{1}{3}$

2) $\frac{13}{2}$
* $13 \div 2 = 6$ with a remainder of $1$.
* Whole number: $6$
* Fraction: $\frac{1}{2}$
* Answer: $6 \frac{1}{2}$

3) $\frac{56}{9}$
* $56 \div 9 = 6$ with a remainder of $2$ (because $9 \times 6 = 54$).
* Whole number: $6$
* Fraction: $\frac{2}{9}$
* Answer: $6 \frac{2}{9}$

4) $\frac{44}{6}$
* $44 \div 6 = 7$ with a remainder of $2$ (because $6 \times 7 = 42$).
* Whole number: $7$
* Fraction: $\frac{2}{6}$
* Simplify $\frac{2}{6}$ by dividing top and bottom by 2: $\frac{1}{3}$.
* Answer: $7 \frac{1}{3}$

5) $\frac{26}{5}$
* $26 \div 5 = 5$ with a remainder of $1$ (because $5 \times 5 = 25$).
* Whole number: $5$
* Fraction: $\frac{1}{5}$
* Answer: $5 \frac{1}{5}$

6) $\frac{27}{6}$
* $27 \div 6 = 4$ with a remainder of $3$ (because $6 \times 4 = 24$).
* Whole number: $4$
* Fraction: $\frac{3}{6}$
* Simplify $\frac{3}{6}$ by dividing top and bottom by 3: $\frac{1}{2}$.
* Answer: $4 \frac{1}{2}$

7) $\frac{20}{7}$
* $20 \div 7 = 2$ with a remainder of $6$ (because $7 \times 2 = 14$).
* Whole number: $2$
* Fraction: $\frac{6}{7}$
* Answer: $2 \frac{6}{7}$

8) $\frac{58}{9}$
* $58 \div 9 = 6$ with a remainder of $4$ (because $9 \times 6 = 54$).
* Whole number: $6$
* Fraction: $\frac{4}{9}$
* Answer: $6 \frac{4}{9}$

9) $\frac{11}{4}$
* $11 \div 4 = 2$ with a remainder of $3$ (because $4 \times 2 = 8$).
* Whole number: $2$
* Fraction: $\frac{3}{4}$
* Answer: $2 \frac{3}{4}$

10) $\frac{18}{7}$
* $18 \div 7 = 2$ with a remainder of $4$ (because $7 \times 2 = 14$).
* Whole number: $2$
* Fraction: $\frac{4}{7}$
* Answer: $2 \frac{4}{7}$

Final Answer:
1) $2 \frac{1}{3}$
2) $6 \frac{1}{2}$
3) $6 \frac{2}{9}$
4) $7 \frac{1}{3}$
5) $5 \frac{1}{5}$
6) $4 \frac{1}{2}$
7) $2 \frac{6}{7}$
8) $6 \frac{4}{9}$
9) $2 \frac{3}{4}$
10) $2 \frac{4}{7}$
Parent Tip: Review the logic above to help your child master the concept of mixed fractions to improper fractions worksheet.
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