To solve the problem of converting improper fractions to mixed numbers, we need to follow these steps:
Steps to Convert an Improper Fraction to a Mixed Number:
1.
Divide the numerator by the denominator to find the whole number part.
2.
The quotient becomes the whole number part of the mixed number.
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. $\frac{25}{4}$
- Divide $25 \div 4$:
- Quotient: $6$
- Remainder: $1$
- Mixed number: $6 \frac{1}{4}$
Answer: $\boxed{6 \frac{1}{4}}$
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2. $\frac{17}{2}$
- Divide $17 \div 2$:
- Quotient: $8$
- Remainder: $1$
- Mixed number: $8 \frac{1}{2}$
Answer: $\boxed{8 \frac{1}{2}}$
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3. $\frac{39}{5}$
- Divide $39 \div 5$:
- Quotient: $7$
- Remainder: $4$
- Mixed number: $7 \frac{4}{5}$
Answer: $\boxed{7 \frac{4}{5}}$
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4. $\frac{32}{3}$
- Divide $32 \div 3$:
- Quotient: $10$
- Remainder: $2$
- Mixed number: $10 \frac{2}{3}$
Answer: $\boxed{10 \frac{2}{3}}$
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5. $\frac{57}{7}$
- Divide $57 \div 7$:
- Quotient: $8$
- Remainder: $1$
- Mixed number: $8 \frac{1}{7}$
Answer: $\boxed{8 \frac{1}{7}}$
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6. $\frac{29}{6}$
- Divide $29 \div 6$:
- Quotient: $4$
- Remainder: $5$
- Mixed number: $4 \frac{5}{6}$
Answer: $\boxed{4 \frac{5}{6}}$
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7. $\frac{43}{11}$
- Divide $43 \div 11$:
- Quotient: $3$
- Remainder: $10$
- Mixed number: $3 \frac{10}{11}$
Answer: $\boxed{3 \frac{10}{11}}$
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8. $\frac{66}{9}$
- Divide $66 \div 9$:
- Quotient: $7$
- Remainder: $3$
- Mixed number: $7 \frac{3}{9}$
- Simplify $\frac{3}{9}$ to $\frac{1}{3}$:
- Final mixed number: $7 \frac{1}{3}$
Answer: $\boxed{7 \frac{1}{3}}$
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9. $\frac{51}{8}$
- Divide $51 \div 8$:
- Quotient: $6$
- Remainder: $3$
- Mixed number: $6 \frac{3}{8}$
Answer: $\boxed{6 \frac{3}{8}}$
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10. $\frac{76}{10}$
- Divide $76 \div 10$:
- Quotient: $7$
- Remainder: $6$
- Mixed number: $7 \frac{6}{10}$
- Simplify $\frac{6}{10}$ to $\frac{3}{5}$:
- Final mixed number: $7 \frac{3}{5}$
Answer: $\boxed{7 \frac{3}{5}}$
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Final Answers:
1. $\boxed{6 \frac{1}{4}}$
2. $\boxed{8 \frac{1}{2}}$
3. $\boxed{7 \frac{4}{5}}$
4. $\boxed{10 \frac{2}{3}}$
5. $\boxed{8 \frac{1}{7}}$
6. $\boxed{4 \frac{5}{6}}$
7. $\boxed{3 \frac{10}{11}}$
8. $\boxed{7 \frac{1}{3}}$
9. $\boxed{6 \frac{3}{8}}$
10. $\boxed{7 \frac{3}{5}}$
Parent Tip: Review the logic above to help your child master the concept of improper fractions to mixed numbers worksheets.
