Solve Unit Fraction Division Problems - 5th Grade Math

1. What is $\frac{1}{10} \div 7$?

   $\frac{1}{70}$. Multiply the denominator by 7: $10 \times 7 = 70$.

2. What is $\frac{1}{9} \div 2$?

   $\frac{1}{18}$. Multiply the denominator by 2: $9 \times 2 = 18$.

3. What is the quotient in simplest form: $\frac{1}{2} \div 6$?

   $\frac{1}{12}$. Multiply the denominator: $2 \times 6 = 12$.

4. Identify the missing number: $\square \div \frac{1}{9} = 45$.

   $5$. Divide both sides by $9$: $45 \div 9 = 5$.

5. Identify the missing number: $\frac{1}{5} \div 2 = \frac{1}{\square}$.

   $10$. The denominator becomes $5 \times 2 = 10$.

6. What is $9 \div \frac{1}{4}$?

   $36$. Multiply by the reciprocal: $9 \times 4 = 36$.

7. What is $\frac{1}{12} \div 4$?

   $\frac{1}{48}$. Multiply the denominator by 4: $12 \times 4 = 48$.

8. What is $2 \div \frac{1}{3}$?

   $6$. There are 6 pieces of size $\frac{1}{3}$ in 2 wholes.

9. What is the value of $\frac{1}{8} \div 1$?

   $\frac{1}{8}$. Dividing by 1 doesn't change the value.

10. What does $\frac{1}{b} \div a$ equal when $a$ and $b$ are whole numbers and $a \ne 0$?

    $\frac{1}{ab}$. Dividing by $a$ multiplies the denominator by $a$.

11. What is $\frac{1}{4} \div 5$?

    $\frac{1}{20}$. Multiply the denominator by 5: $4 \times 5 = 20$.

12. What is $\frac{1}{6} \div 3$?

    $\frac{1}{18}$. Multiply the denominator by 3: $6 \times 3 = 18$.

13. What is the value of $9 \div \frac{1}{1}$?

    $9$. Since $\frac{1}{1} = 1$, this equals $9 \div 1 = 9$.

14. What is $\frac{1}{4} \div 7$?

    $\frac{1}{28}$. Apply $\frac{1}{4} \div 7 = \frac{1}{4 \times 7} = \frac{1}{28}$.

15. What is $\frac{1}{12} \div 5$?

    $\frac{1}{60}$. Apply $\frac{1}{12} \div 5 = \frac{1}{12 \times 5} = \frac{1}{60}$.

16. What is the value of $5 \div \frac{1}{5}$?

    $25$. There are 25 pieces of size $\frac{1}{5}$ in 5 wholes.

17. What is $8 \div \frac{1}{5}$?

    $40$. Apply $8 \div \frac{1}{5} = 8 \times 5 = 40$.

18. What is $1 \div \frac{1}{7}$?

    $7$. Dividing by $\frac{1}{7}$ equals multiplying by 7.

19. Identify the missing number: $4 \div \frac{1}{8} = \square$.

    $32$. There are 32 pieces of size $\frac{1}{8}$ in 4 wholes.

20. What is $\frac{1}{5} \div 7$?

    $\frac{1}{35}$. Dividing $\frac{1}{5}$ into 7 equal parts gives $\frac{1}{5} \times \frac{1}{7}$.

21. What is $\frac{1}{8} \div 4$?

    $\frac{1}{32}$. Multiply the denominator: $8 \times 4 = 32$.

22. What is $11 \div \frac{1}{2}$?

    $22$. Multiply by the reciprocal: $11 \times 2 = 22$.

23. Identify the missing number: $\frac{1}{9} \div \square = \frac{1}{45}$.

    $5$. To get $\frac{1}{45}$, divide $\frac{1}{9}$ by 5 (multiply denominators).

24. Identify the missing number: $\frac{1}{\square} \div 3 = \frac{1}{21}$.

    $7$. Since $7 \times 3 = 21$, the original fraction is $\frac{1}{7}$.

25. What is $4 \div \frac{1}{2}$?

    $8$. Apply $4 \div \frac{1}{2} = 4 \times 2 = 8$.

26. What is the value of $\frac{1}{6} \div 2$?

    $\frac{1}{12}$. Dividing $\frac{1}{6}$ into 2 equal parts gives $\frac{1}{6} \times \frac{1}{2}$.

27. What is $3 \div \frac{1}{5}$?

    $15$. Multiply by the reciprocal: $3 \times 5 = 15$.

28. What is $\frac{1}{3} \div 7$?

    $\frac{1}{21}$. Multiply the denominator: $3 \times 7 = 21$.

29. What is $4 \div \frac{1}{10}$?

    $40$. Multiply by the reciprocal: $4 \times 10 = 40$.

30. What is $\frac{1}{5} \div 2$?

    $\frac{1}{10}$. Multiply the denominator: $5 \times 2 = 10$.

31. What is $\frac{1}{10} \div 2$?

    $\frac{1}{20}$. Apply $\frac{1}{10} \div 2 = \frac{1}{10 \times 2} = \frac{1}{20}$.

32. What does dividing by a unit fraction $\frac{1}{n}$ do to a whole number?

    It multiplies the number by $n$. Dividing by $\frac{1}{n}$ is the same as multiplying by $n$.

33. What is $6 \div \frac{1}{4}$?

    $24$. Multiply 6 by the denominator 4: $6 \times 4 = 24$.

34. What is $\frac{1}{12} \div 6$?

    $\frac{1}{72}$. Multiply the denominator: $12 \times 6 = 72$.

35. What is $7 \div \frac{1}{7}$?

    $49$. Apply $7 \div \frac{1}{7} = 7 \times 7 = 49$.

36. What is the equation rule for dividing by a unit fraction: $a \div \frac{1}{n}$?

    $a \div \frac{1}{n} = a \times n$. To divide by a unit fraction, multiply by its reciprocal.

37. What is $\frac{1}{3} \div 6$?

    $\frac{1}{18}$. Apply $\frac{1}{3} \div 6 = \frac{1}{3 \times 6} = \frac{1}{18}$.

38. What is $6 \div \frac{1}{3}$?

    $18$. Apply $6 \div \frac{1}{3} = 6 \times 3 = 18$.

39. What does $a \div \frac{1}{b}$ equal when $a$ and $b$ are whole numbers and $b \ne 0$?

    $ab$. Dividing by a unit fraction multiplies by its denominator.

40. What is $2 \div \frac{1}{9}$?

    $18$. Apply $2 \div \frac{1}{9} = 2 \times 9 = 18$.

41. What is the equation rule for dividing a unit fraction by a whole number: $\frac{1}{n} \div a$?

    $\frac{1}{n} \div a = \frac{1}{n \times a}$. Dividing a unit fraction by $a$ multiplies the denominator by $a$.

42. What is $4 \div \frac{1}{5}$?

    $20$. Multiply 4 by the denominator 5: $4 \times 5 = 20$.

43. Identify the missing number: $3 \div \frac{1}{\square} = 24$.

    $8$. Since $3 \times 8 = 24$, the missing number is 8.

44. What is $\frac{1}{2} \div 8$?

    $\frac{1}{16}$. Multiply the denominator by 8: $2 \times 8 = 16$.

45. What is $3 \div \frac{1}{8}$?

    $24$. Apply $3 \div \frac{1}{8} = 3 \times 8 = 24$.

46. What is $5 \div \frac{1}{4}$?

    $20$. Apply $5 \div \frac{1}{4} = 5 \times 4 = 20$.

47. Identify the missing number: $\frac{1}{7} \div 3 = \frac{1}{\square}$.

    $21$. The denominator becomes $7 \times 3 = 21$.

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