Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable
Educational worksheet: Printable primary math worksheet for math grades 1 to 6 based on .... Download and print for classroom or home learning activities.
GIF
578×818
21.8 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1429071
⭐
Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Let's solve the problem step by step.
We are asked to divide mixed numbers and express the answers as mixed numbers if possible.
To divide mixed numbers:
1. Convert each mixed number to an improper fraction.
2. Invert the divisor (the second number) and multiply.
3. Simplify the result.
4. Convert back to a mixed number if needed.
---
We'll go through each problem one by one.
---
- Convert:
$ 2\frac{1}{2} = \frac{5}{2} $,
$ 1\frac{1}{2} = \frac{3}{2} $
- Divide:
$ \frac{5}{2} \div \frac{3}{2} = \frac{5}{2} \times \frac{2}{3} = \frac{10}{6} = \frac{5}{3} $
- Convert to mixed number:
$ \frac{5}{3} = 1\frac{2}{3} $
✔ Answer: $ 1\frac{2}{3} $
---
- $ 4\frac{1}{2} = \frac{9}{2} $,
$ 2\frac{1}{2} = \frac{5}{2} $
- $ \frac{9}{2} \div \frac{5}{2} = \frac{9}{2} \times \frac{2}{5} = \frac{18}{10} = \frac{9}{5} $
- $ \frac{9}{5} = 1\frac{4}{5} $
✔ Answer: $ 1\frac{4}{5} $
---
- $ 1\frac{1}{4} = \frac{5}{4} $
- $ \frac{5}{4} \div \frac{5}{4} = 1 $
✔ Answer: $ 1 $
---
- $ 1\frac{1}{2} = \frac{3}{2} $,
$ 3\frac{1}{2} = \frac{7}{2} $
- $ \frac{3}{2} \div \frac{7}{2} = \frac{3}{2} \times \frac{2}{7} = \frac{6}{14} = \frac{3}{7} $
✔ Answer: $ \frac{3}{7} $
---
Same as #1 → $ \frac{5}{2} \div \frac{3}{2} = \frac{5}{3} = 1\frac{2}{3} $
✔ Answer: $ 1\frac{2}{3} $
---
- $ 1\frac{1}{2} = \frac{3}{2} $,
$ 2\frac{1}{4} = \frac{9}{4} $
- $ \frac{3}{2} \div \frac{9}{4} = \frac{3}{2} \times \frac{4}{9} = \frac{12}{18} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
- $ 3\frac{1}{2} = \frac{7}{2} $,
$ 1\frac{1}{2} = \frac{3}{2} $
- $ \frac{7}{2} \div \frac{3}{2} = \frac{7}{2} \times \frac{2}{3} = \frac{14}{6} = \frac{7}{3} = 2\frac{1}{3} $
✔ Answer: $ 2\frac{1}{3} $
---
- $ 2\frac{1}{4} = \frac{9}{4} $,
$ 1\frac{1}{2} = \frac{3}{2} $
- $ \frac{9}{4} \div \frac{3}{2} = \frac{9}{4} \times \frac{2}{3} = \frac{18}{12} = \frac{3}{2} = 1\frac{1}{2} $
✔ Answer: $ 1\frac{1}{2} $
---
- $ 2\frac{1}{2} = \frac{5}{2} $,
$ 7\frac{1}{2} = \frac{15}{2} $
- $ \frac{5}{2} \div \frac{15}{2} = \frac{5}{2} \times \frac{2}{15} = \frac{10}{30} = \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
---
- $ 2\frac{1}{2} = \frac{5}{2} $,
$ 2\frac{1}{4} = \frac{9}{4} $
- $ \frac{5}{2} \div \frac{9}{4} = \frac{5}{2} \times \frac{4}{9} = \frac{20}{18} = \frac{10}{9} = 1\frac{1}{9} $
✔ Answer: $ 1\frac{1}{9} $
---
- $ \frac{3}{2} \div \frac{3}{2} = 1 $
✔ Answer: $ 1 $
---
Same as above → 1
✔ Answer: $ 1 $
---
Again same → 1
✔ Answer: $ 1 $
---
- $ 4\frac{1}{4} = \frac{17}{4} $,
$ 3\frac{1}{2} = \frac{7}{2} $
- $ \frac{17}{4} \div \frac{7}{2} = \frac{17}{4} \times \frac{2}{7} = \frac{34}{28} = \frac{17}{14} = 1\frac{3}{14} $
✔ Answer: $ 1\frac{3}{14} $
---
- $ 4\frac{1}{2} = \frac{9}{2} $,
$ 1\frac{1}{4} = \frac{5}{4} $
- $ \frac{9}{2} \div \frac{5}{4} = \frac{9}{2} \times \frac{4}{5} = \frac{36}{10} = \frac{18}{5} = 3\frac{3}{5} $
✔ Answer: $ 3\frac{3}{5} $
---
- $ 5\frac{1}{2} = \frac{11}{2} $,
$ 1\frac{1}{2} = \frac{3}{2} $
- $ \frac{11}{2} \div \frac{3}{2} = \frac{11}{2} \times \frac{2}{3} = \frac{22}{6} = \frac{11}{3} = 3\frac{2}{3} $
✔ Answer: $ 3\frac{2}{3} $
---
- $ 1\frac{1}{4} = \frac{5}{4} $,
$ 2\frac{1}{2} = \frac{5}{2} $
- $ \frac{5}{4} \div \frac{5}{2} = \frac{5}{4} \times \frac{2}{5} = \frac{10}{20} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
- $ 8\frac{1}{2} = \frac{17}{2} $,
$ 1\frac{1}{4} = \frac{5}{4} $
- $ \frac{17}{2} \div \frac{5}{4} = \frac{17}{2} \times \frac{4}{5} = \frac{68}{10} = \frac{34}{5} = 6\frac{4}{5} $
✔ Answer: $ 6\frac{4}{5} $
---
Same as #2 → $ \frac{9}{2} \div \frac{5}{2} = \frac{9}{5} = 1\frac{4}{5} $
✔ Answer: $ 1\frac{4}{5} $
---
Again → $ 1 $
✔ Answer: $ 1 $
---
- $ 6\frac{1}{2} = \frac{13}{2} $,
$ 1\frac{1}{4} = \frac{5}{4} $
- $ \frac{13}{2} \div \frac{5}{4} = \frac{13}{2} \times \frac{4}{5} = \frac{52}{10} = \frac{26}{5} = 5\frac{1}{5} $
✔ Answer: $ 5\frac{1}{5} $
---
- $ 3\frac{1}{2} = \frac{7}{2} $,
$ 2\frac{1}{2} = \frac{5}{2} $
- $ \frac{7}{2} \div \frac{5}{2} = \frac{7}{2} \times \frac{2}{5} = \frac{14}{10} = \frac{7}{5} = 1\frac{2}{5} $
✔ Answer: $ 1\frac{2}{5} $
---
- $ 7\frac{1}{2} = \frac{15}{2} $,
$ 6\frac{1}{2} = \frac{13}{2} $
- $ \frac{15}{2} \div \frac{13}{2} = \frac{15}{2} \times \frac{2}{13} = \frac{30}{26} = \frac{15}{13} = 1\frac{2}{13} $
✔ Answer: $ 1\frac{2}{13} $
---
Same as #2 and #19 → $ 1\frac{4}{5} $
✔ Answer: $ 1\frac{4}{5} $
---
- $ 4\frac{1}{2} = \frac{9}{2} $,
$ 9\frac{1}{4} = \frac{37}{4} $
- $ \frac{9}{2} \div \frac{37}{4} = \frac{9}{2} \times \frac{4}{37} = \frac{36}{74} = \frac{18}{37} $
✔ Answer: $ \frac{18}{37} $
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. $ 2\frac{1}{2} \div 1\frac{1}{2} $ | $ 1\frac{2}{3} $ |
| 2. $ 4\frac{1}{2} \div 2\frac{1}{2} $ | $ 1\frac{4}{5} $ |
| 3. $ 1\frac{1}{4} \div 1\frac{1}{4} $ | $ 1 $ |
| 4. $ 1\frac{1}{2} \div 3\frac{1}{2} $ | $ \frac{3}{7} $ |
| 5. $ 2\frac{1}{2} \div 1\frac{1}{2} $ | $ 1\frac{2}{3} $ |
| 6. $ 1\frac{1}{2} \div 2\frac{1}{4} $ | $ \frac{2}{3} $ |
| 7. $ 3\frac{1}{2} \div 1\frac{1}{2} $ | $ 2\frac{1}{3} $ |
| 8. $ 2\frac{1}{4} \div 1\frac{1}{2} $ | $ 1\frac{1}{2} $ |
| 9. $ 2\frac{1}{2} \div 7\frac{1}{2} $ | $ \frac{1}{3} $ |
| 10. $ 2\frac{1}{2} \div 2\frac{1}{4} $ | $ 1\frac{1}{9} $ |
| 11. $ 1\frac{1}{2} \div 1\frac{1}{2} $ | $ 1 $ |
| 12. $ 1\frac{1}{2} \div 1\frac{1}{2} $ | $ 1 $ |
| 13. $ 1\frac{1}{2} \div 1\frac{1}{2} $ | $ 1 $ |
| 14. $ 4\frac{1}{4} \div 3\frac{1}{2} $ | $ 1\frac{3}{14} $ |
| 15. $ 4\frac{1}{2} \div 1\frac{1}{4} $ | $ 3\frac{3}{5} $ |
| 16. $ 5\frac{1}{2} \div 1\frac{1}{2} $ | $ 3\frac{2}{3} $ |
| 17. $ 1\frac{1}{4} \div 2\frac{1}{2} $ | $ \frac{1}{2} $ |
| 18. $ 8\frac{1}{2} \div 1\frac{1}{4} $ | $ 6\frac{4}{5} $ |
| 19. $ 4\frac{1}{2} \div 2\frac{1}{2} $ | $ 1\frac{4}{5} $ |
| 20. $ 1\frac{1}{2} \div 1\frac{1}{2} $ | $ 1 $ |
| 21. $ 6\frac{1}{2} \div 1\frac{1}{4} $ | $ 5\frac{1}{5} $ |
| 22. $ 3\frac{1}{2} \div 2\frac{1}{2} $ | $ 1\frac{2}{5} $ |
| 23. $ 7\frac{1}{2} \div 6\frac{1}{2} $ | $ 1\frac{2}{13} $ |
| 24. $ 4\frac{1}{2} \div 2\frac{1}{2} $ | $ 1\frac{4}{5} $ |
| 25. $ 4\frac{1}{2} \div 9\frac{1}{4} $ | $ \frac{18}{37} $ |
---
Let me know if you'd like this in printable format or need explanations for any specific problem!
We are asked to divide mixed numbers and express the answers as mixed numbers if possible.
Step-by-step Method:
To divide mixed numbers:
1. Convert each mixed number to an improper fraction.
2. Invert the divisor (the second number) and multiply.
3. Simplify the result.
4. Convert back to a mixed number if needed.
---
We'll go through each problem one by one.
---
1. $ 2\frac{1}{2} \div 1\frac{1}{2} $
- Convert:
$ 2\frac{1}{2} = \frac{5}{2} $,
$ 1\frac{1}{2} = \frac{3}{2} $
- Divide:
$ \frac{5}{2} \div \frac{3}{2} = \frac{5}{2} \times \frac{2}{3} = \frac{10}{6} = \frac{5}{3} $
- Convert to mixed number:
$ \frac{5}{3} = 1\frac{2}{3} $
✔ Answer: $ 1\frac{2}{3} $
---
2. $ 4\frac{1}{2} \div 2\frac{1}{2} $
- $ 4\frac{1}{2} = \frac{9}{2} $,
$ 2\frac{1}{2} = \frac{5}{2} $
- $ \frac{9}{2} \div \frac{5}{2} = \frac{9}{2} \times \frac{2}{5} = \frac{18}{10} = \frac{9}{5} $
- $ \frac{9}{5} = 1\frac{4}{5} $
✔ Answer: $ 1\frac{4}{5} $
---
3. $ 1\frac{1}{4} \div 1\frac{1}{4} $
- $ 1\frac{1}{4} = \frac{5}{4} $
- $ \frac{5}{4} \div \frac{5}{4} = 1 $
✔ Answer: $ 1 $
---
4. $ 1\frac{1}{2} \div 3\frac{1}{2} $
- $ 1\frac{1}{2} = \frac{3}{2} $,
$ 3\frac{1}{2} = \frac{7}{2} $
- $ \frac{3}{2} \div \frac{7}{2} = \frac{3}{2} \times \frac{2}{7} = \frac{6}{14} = \frac{3}{7} $
✔ Answer: $ \frac{3}{7} $
---
5. $ 2\frac{1}{2} \div 1\frac{1}{2} $
Same as #1 → $ \frac{5}{2} \div \frac{3}{2} = \frac{5}{3} = 1\frac{2}{3} $
✔ Answer: $ 1\frac{2}{3} $
---
6. $ 1\frac{1}{2} \div 2\frac{1}{4} $
- $ 1\frac{1}{2} = \frac{3}{2} $,
$ 2\frac{1}{4} = \frac{9}{4} $
- $ \frac{3}{2} \div \frac{9}{4} = \frac{3}{2} \times \frac{4}{9} = \frac{12}{18} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
7. $ 3\frac{1}{2} \div 1\frac{1}{2} $
- $ 3\frac{1}{2} = \frac{7}{2} $,
$ 1\frac{1}{2} = \frac{3}{2} $
- $ \frac{7}{2} \div \frac{3}{2} = \frac{7}{2} \times \frac{2}{3} = \frac{14}{6} = \frac{7}{3} = 2\frac{1}{3} $
✔ Answer: $ 2\frac{1}{3} $
---
8. $ 2\frac{1}{4} \div 1\frac{1}{2} $
- $ 2\frac{1}{4} = \frac{9}{4} $,
$ 1\frac{1}{2} = \frac{3}{2} $
- $ \frac{9}{4} \div \frac{3}{2} = \frac{9}{4} \times \frac{2}{3} = \frac{18}{12} = \frac{3}{2} = 1\frac{1}{2} $
✔ Answer: $ 1\frac{1}{2} $
---
9. $ 2\frac{1}{2} \div 7\frac{1}{2} $
- $ 2\frac{1}{2} = \frac{5}{2} $,
$ 7\frac{1}{2} = \frac{15}{2} $
- $ \frac{5}{2} \div \frac{15}{2} = \frac{5}{2} \times \frac{2}{15} = \frac{10}{30} = \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
---
10. $ 2\frac{1}{2} \div 2\frac{1}{4} $
- $ 2\frac{1}{2} = \frac{5}{2} $,
$ 2\frac{1}{4} = \frac{9}{4} $
- $ \frac{5}{2} \div \frac{9}{4} = \frac{5}{2} \times \frac{4}{9} = \frac{20}{18} = \frac{10}{9} = 1\frac{1}{9} $
✔ Answer: $ 1\frac{1}{9} $
---
11. $ 1\frac{1}{2} \div 1\frac{1}{2} $
- $ \frac{3}{2} \div \frac{3}{2} = 1 $
✔ Answer: $ 1 $
---
12. $ 1\frac{1}{2} \div 1\frac{1}{2} $
Same as above → 1
✔ Answer: $ 1 $
---
13. $ 1\frac{1}{2} \div 1\frac{1}{2} $
Again same → 1
✔ Answer: $ 1 $
---
14. $ 4\frac{1}{4} \div 3\frac{1}{2} $
- $ 4\frac{1}{4} = \frac{17}{4} $,
$ 3\frac{1}{2} = \frac{7}{2} $
- $ \frac{17}{4} \div \frac{7}{2} = \frac{17}{4} \times \frac{2}{7} = \frac{34}{28} = \frac{17}{14} = 1\frac{3}{14} $
✔ Answer: $ 1\frac{3}{14} $
---
15. $ 4\frac{1}{2} \div 1\frac{1}{4} $
- $ 4\frac{1}{2} = \frac{9}{2} $,
$ 1\frac{1}{4} = \frac{5}{4} $
- $ \frac{9}{2} \div \frac{5}{4} = \frac{9}{2} \times \frac{4}{5} = \frac{36}{10} = \frac{18}{5} = 3\frac{3}{5} $
✔ Answer: $ 3\frac{3}{5} $
---
16. $ 5\frac{1}{2} \div 1\frac{1}{2} $
- $ 5\frac{1}{2} = \frac{11}{2} $,
$ 1\frac{1}{2} = \frac{3}{2} $
- $ \frac{11}{2} \div \frac{3}{2} = \frac{11}{2} \times \frac{2}{3} = \frac{22}{6} = \frac{11}{3} = 3\frac{2}{3} $
✔ Answer: $ 3\frac{2}{3} $
---
17. $ 1\frac{1}{4} \div 2\frac{1}{2} $
- $ 1\frac{1}{4} = \frac{5}{4} $,
$ 2\frac{1}{2} = \frac{5}{2} $
- $ \frac{5}{4} \div \frac{5}{2} = \frac{5}{4} \times \frac{2}{5} = \frac{10}{20} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
18. $ 8\frac{1}{2} \div 1\frac{1}{4} $
- $ 8\frac{1}{2} = \frac{17}{2} $,
$ 1\frac{1}{4} = \frac{5}{4} $
- $ \frac{17}{2} \div \frac{5}{4} = \frac{17}{2} \times \frac{4}{5} = \frac{68}{10} = \frac{34}{5} = 6\frac{4}{5} $
✔ Answer: $ 6\frac{4}{5} $
---
19. $ 4\frac{1}{2} \div 2\frac{1}{2} $
Same as #2 → $ \frac{9}{2} \div \frac{5}{2} = \frac{9}{5} = 1\frac{4}{5} $
✔ Answer: $ 1\frac{4}{5} $
---
20. $ 1\frac{1}{2} \div 1\frac{1}{2} $
Again → $ 1 $
✔ Answer: $ 1 $
---
21. $ 6\frac{1}{2} \div 1\frac{1}{4} $
- $ 6\frac{1}{2} = \frac{13}{2} $,
$ 1\frac{1}{4} = \frac{5}{4} $
- $ \frac{13}{2} \div \frac{5}{4} = \frac{13}{2} \times \frac{4}{5} = \frac{52}{10} = \frac{26}{5} = 5\frac{1}{5} $
✔ Answer: $ 5\frac{1}{5} $
---
22. $ 3\frac{1}{2} \div 2\frac{1}{2} $
- $ 3\frac{1}{2} = \frac{7}{2} $,
$ 2\frac{1}{2} = \frac{5}{2} $
- $ \frac{7}{2} \div \frac{5}{2} = \frac{7}{2} \times \frac{2}{5} = \frac{14}{10} = \frac{7}{5} = 1\frac{2}{5} $
✔ Answer: $ 1\frac{2}{5} $
---
23. $ 7\frac{1}{2} \div 6\frac{1}{2} $
- $ 7\frac{1}{2} = \frac{15}{2} $,
$ 6\frac{1}{2} = \frac{13}{2} $
- $ \frac{15}{2} \div \frac{13}{2} = \frac{15}{2} \times \frac{2}{13} = \frac{30}{26} = \frac{15}{13} = 1\frac{2}{13} $
✔ Answer: $ 1\frac{2}{13} $
---
24. $ 4\frac{1}{2} \div 2\frac{1}{2} $
Same as #2 and #19 → $ 1\frac{4}{5} $
✔ Answer: $ 1\frac{4}{5} $
---
25. $ 4\frac{1}{2} \div 9\frac{1}{4} $
- $ 4\frac{1}{2} = \frac{9}{2} $,
$ 9\frac{1}{4} = \frac{37}{4} $
- $ \frac{9}{2} \div \frac{37}{4} = \frac{9}{2} \times \frac{4}{37} = \frac{36}{74} = \frac{18}{37} $
✔ Answer: $ \frac{18}{37} $
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. $ 2\frac{1}{2} \div 1\frac{1}{2} $ | $ 1\frac{2}{3} $ |
| 2. $ 4\frac{1}{2} \div 2\frac{1}{2} $ | $ 1\frac{4}{5} $ |
| 3. $ 1\frac{1}{4} \div 1\frac{1}{4} $ | $ 1 $ |
| 4. $ 1\frac{1}{2} \div 3\frac{1}{2} $ | $ \frac{3}{7} $ |
| 5. $ 2\frac{1}{2} \div 1\frac{1}{2} $ | $ 1\frac{2}{3} $ |
| 6. $ 1\frac{1}{2} \div 2\frac{1}{4} $ | $ \frac{2}{3} $ |
| 7. $ 3\frac{1}{2} \div 1\frac{1}{2} $ | $ 2\frac{1}{3} $ |
| 8. $ 2\frac{1}{4} \div 1\frac{1}{2} $ | $ 1\frac{1}{2} $ |
| 9. $ 2\frac{1}{2} \div 7\frac{1}{2} $ | $ \frac{1}{3} $ |
| 10. $ 2\frac{1}{2} \div 2\frac{1}{4} $ | $ 1\frac{1}{9} $ |
| 11. $ 1\frac{1}{2} \div 1\frac{1}{2} $ | $ 1 $ |
| 12. $ 1\frac{1}{2} \div 1\frac{1}{2} $ | $ 1 $ |
| 13. $ 1\frac{1}{2} \div 1\frac{1}{2} $ | $ 1 $ |
| 14. $ 4\frac{1}{4} \div 3\frac{1}{2} $ | $ 1\frac{3}{14} $ |
| 15. $ 4\frac{1}{2} \div 1\frac{1}{4} $ | $ 3\frac{3}{5} $ |
| 16. $ 5\frac{1}{2} \div 1\frac{1}{2} $ | $ 3\frac{2}{3} $ |
| 17. $ 1\frac{1}{4} \div 2\frac{1}{2} $ | $ \frac{1}{2} $ |
| 18. $ 8\frac{1}{2} \div 1\frac{1}{4} $ | $ 6\frac{4}{5} $ |
| 19. $ 4\frac{1}{2} \div 2\frac{1}{2} $ | $ 1\frac{4}{5} $ |
| 20. $ 1\frac{1}{2} \div 1\frac{1}{2} $ | $ 1 $ |
| 21. $ 6\frac{1}{2} \div 1\frac{1}{4} $ | $ 5\frac{1}{5} $ |
| 22. $ 3\frac{1}{2} \div 2\frac{1}{2} $ | $ 1\frac{2}{5} $ |
| 23. $ 7\frac{1}{2} \div 6\frac{1}{2} $ | $ 1\frac{2}{13} $ |
| 24. $ 4\frac{1}{2} \div 2\frac{1}{2} $ | $ 1\frac{4}{5} $ |
| 25. $ 4\frac{1}{2} \div 9\frac{1}{4} $ | $ \frac{18}{37} $ |
---
Let me know if you'd like this in printable format or need explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of dividing fractions and mixed numbers worksheet 6th grade.
