Improper Fraction to Mixed Number - Worksheet Digital - Free Printable
Educational worksheet: Improper Fraction to Mixed Number - Worksheet Digital. Download and print for classroom or home learning activities.
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Step-by-step solution for: Improper Fraction to Mixed Number - Worksheet Digital
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Show Answer Key & Explanations
Step-by-step solution for: Improper Fraction to Mixed Number - Worksheet Digital
To solve the problem of converting improper fractions to mixed numbers, we need to follow these steps:
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.
---
- Divide $7 \div 5$:
- Quotient = $1$, Remainder = $2$.
- Mixed number: $1 \frac{2}{5}$.
Answer: $\boxed{1 \frac{2}{5}}$
---
- Divide $10 \div 3$:
- Quotient = $3$, Remainder = $1$.
- Mixed number: $3 \frac{1}{3}$.
Answer: $\boxed{3 \frac{1}{3}}$
---
- Divide $67 \div 11$:
- Quotient = $6$, Remainder = $1$.
- Mixed number: $6 \frac{1}{11}$.
Answer: $\boxed{6 \frac{1}{11}}$
---
- Divide $29 \div 6$:
- Quotient = $4$, Remainder = $5$.
- Mixed number: $4 \frac{5}{6}$.
Answer: $\boxed{4 \frac{5}{6}}$
---
- Divide $55 \div 12$:
- Quotient = $4$, Remainder = $7$.
- Mixed number: $4 \frac{7}{12}$.
Answer: $\boxed{4 \frac{7}{12}}$
---
- Divide $13 \div 3$:
- Quotient = $4$, Remainder = $1$.
- Mixed number: $4 \frac{1}{3}$.
Answer: $\boxed{4 \frac{1}{3}}$
---
- Divide $10 \div 9$:
- Quotient = $1$, Remainder = $1$.
- Mixed number: $1 \frac{1}{9}$.
Answer: $\boxed{1 \frac{1}{9}}$
---
- Divide $19 \div 8$:
- Quotient = $2$, Remainder = $3$.
- Mixed number: $2 \frac{3}{8}$.
Answer: $\boxed{2 \frac{3}{8}}$
---
- Divide $35 \div 8$:
- Quotient = $4$, Remainder = $3$.
- Mixed number: $4 \frac{3}{8}$.
Answer: $\boxed{4 \frac{3}{8}}$
---
- Divide $65 \div 12$:
- Quotient = $5$, Remainder = $5$.
- Mixed number: $5 \frac{5}{12}$.
Answer: $\boxed{5 \frac{5}{12}}$
---
- Divide $23 \div 5$:
- Quotient = $4$, Remainder = $3$.
- Mixed number: $4 \frac{3}{5}$.
Answer: $\boxed{4 \frac{3}{5}}$
---
- Divide $47 \div 13$:
- Quotient = $3$, Remainder = $8$.
- Mixed number: $3 \frac{8}{13}$.
Answer: $\boxed{3 \frac{8}{13}}$
---
- Divide $26 \div 5$:
- Quotient = $5$, Remainder = $1$.
- Mixed number: $5 \frac{1}{5}$.
Answer: $\boxed{5 \frac{1}{5}}$
---
- Divide $49 \div 6$:
- Quotient = $8$, Remainder = $1$.
- Mixed number: $8 \frac{1}{6}$.
Answer: $\boxed{8 \frac{1}{6}}$
---
- Divide $82 \div 9$:
- Quotient = $9$, Remainder = $1$.
- Mixed number: $9 \frac{1}{9}$.
Answer: $\boxed{9 \frac{1}{9}}$
---
1. $\boxed{1 \frac{2}{5}}$
2. $\boxed{3 \frac{1}{3}}$
3. $\boxed{6 \frac{1}{11}}$
4. $\boxed{4 \frac{5}{6}}$
5. $\boxed{4 \frac{7}{12}}$
6. $\boxed{4 \frac{1}{3}}$
7. $\boxed{1 \frac{1}{9}}$
8. $\boxed{2 \frac{3}{8}}$
9. $\boxed{4 \frac{3}{8}}$
10. $\boxed{5 \frac{5}{12}}$
11. $\boxed{4 \frac{3}{5}}$
12. $\boxed{3 \frac{8}{13}}$
13. $\boxed{5 \frac{1}{5}}$
14. $\boxed{8 \frac{1}{6}}$
15. $\boxed{9 \frac{1}{9}}$
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.
---
1) $\frac{7}{5}$
- Divide $7 \div 5$:
- Quotient = $1$, Remainder = $2$.
- Mixed number: $1 \frac{2}{5}$.
Answer: $\boxed{1 \frac{2}{5}}$
---
2) $\frac{10}{3}$
- Divide $10 \div 3$:
- Quotient = $3$, Remainder = $1$.
- Mixed number: $3 \frac{1}{3}$.
Answer: $\boxed{3 \frac{1}{3}}$
---
3) $\frac{67}{11}$
- Divide $67 \div 11$:
- Quotient = $6$, Remainder = $1$.
- Mixed number: $6 \frac{1}{11}$.
Answer: $\boxed{6 \frac{1}{11}}$
---
4) $\frac{29}{6}$
- Divide $29 \div 6$:
- Quotient = $4$, Remainder = $5$.
- Mixed number: $4 \frac{5}{6}$.
Answer: $\boxed{4 \frac{5}{6}}$
---
5) $\frac{55}{12}$
- Divide $55 \div 12$:
- Quotient = $4$, Remainder = $7$.
- Mixed number: $4 \frac{7}{12}$.
Answer: $\boxed{4 \frac{7}{12}}$
---
6) $\frac{13}{3}$
- Divide $13 \div 3$:
- Quotient = $4$, Remainder = $1$.
- Mixed number: $4 \frac{1}{3}$.
Answer: $\boxed{4 \frac{1}{3}}$
---
7) $\frac{10}{9}$
- Divide $10 \div 9$:
- Quotient = $1$, Remainder = $1$.
- Mixed number: $1 \frac{1}{9}$.
Answer: $\boxed{1 \frac{1}{9}}$
---
8) $\frac{19}{8}$
- Divide $19 \div 8$:
- Quotient = $2$, Remainder = $3$.
- Mixed number: $2 \frac{3}{8}$.
Answer: $\boxed{2 \frac{3}{8}}$
---
9) $\frac{35}{8}$
- Divide $35 \div 8$:
- Quotient = $4$, Remainder = $3$.
- Mixed number: $4 \frac{3}{8}$.
Answer: $\boxed{4 \frac{3}{8}}$
---
10) $\frac{65}{12}$
- Divide $65 \div 12$:
- Quotient = $5$, Remainder = $5$.
- Mixed number: $5 \frac{5}{12}$.
Answer: $\boxed{5 \frac{5}{12}}$
---
11) $\frac{23}{5}$
- Divide $23 \div 5$:
- Quotient = $4$, Remainder = $3$.
- Mixed number: $4 \frac{3}{5}$.
Answer: $\boxed{4 \frac{3}{5}}$
---
12) $\frac{47}{13}$
- Divide $47 \div 13$:
- Quotient = $3$, Remainder = $8$.
- Mixed number: $3 \frac{8}{13}$.
Answer: $\boxed{3 \frac{8}{13}}$
---
13) $\frac{26}{5}$
- Divide $26 \div 5$:
- Quotient = $5$, Remainder = $1$.
- Mixed number: $5 \frac{1}{5}$.
Answer: $\boxed{5 \frac{1}{5}}$
---
14) $\frac{49}{6}$
- Divide $49 \div 6$:
- Quotient = $8$, Remainder = $1$.
- Mixed number: $8 \frac{1}{6}$.
Answer: $\boxed{8 \frac{1}{6}}$
---
15) $\frac{82}{9}$
- Divide $82 \div 9$:
- Quotient = $9$, Remainder = $1$.
- Mixed number: $9 \frac{1}{9}$.
Answer: $\boxed{9 \frac{1}{9}}$
---
Final Answers:
1. $\boxed{1 \frac{2}{5}}$
2. $\boxed{3 \frac{1}{3}}$
3. $\boxed{6 \frac{1}{11}}$
4. $\boxed{4 \frac{5}{6}}$
5. $\boxed{4 \frac{7}{12}}$
6. $\boxed{4 \frac{1}{3}}$
7. $\boxed{1 \frac{1}{9}}$
8. $\boxed{2 \frac{3}{8}}$
9. $\boxed{4 \frac{3}{8}}$
10. $\boxed{5 \frac{5}{12}}$
11. $\boxed{4 \frac{3}{5}}$
12. $\boxed{3 \frac{8}{13}}$
13. $\boxed{5 \frac{1}{5}}$
14. $\boxed{8 \frac{1}{6}}$
15. $\boxed{9 \frac{1}{9}}$
Parent Tip: Review the logic above to help your child master the concept of mixed numbers and improper fractions worksheet.
