Interpret Fractions as Division - 5th Grade Math

1. What is the quotient $7\div 2$ written as a mixed number?

   $3\frac{1}{2}$. $7 \div 2 = 3$ remainder $1$, so $3\frac{1}{2}$.

2. What is $\frac{3}{4}$ written as a division problem?

   $3\div 4$. The fraction bar means division.

3. What does the fraction $\frac{a}{b}$ mean as a division expression?

   $\frac{a}{b}=a\div b$. A fraction represents the numerator divided by the denominator.

4. Between which two whole numbers does $\frac{50}{9}$ lie?

   Between $5$ and $6$. $\frac{50}{9} = 5\frac{5}{9}$, which is between $5$ and $6$.

5. What multiplication equation shows that $\frac{a}{b}$ is the result of $a\div b$?

   $\frac{a}{b}\times b=a$. Multiplying a fraction by its denominator gives the numerator.

6. What is $11\div 8$ written as a mixed number?

   $1\frac{3}{8}$. $11 \div 8 = 1$ remainder $3$, so $1\frac{3}{8}$.

7. What is $5\div 8$ written as a fraction in simplest form?

   $\frac{5}{8}$. $5$ divided by $8$ gives the fraction $\frac{5}{8}$.

8. What is each person's share if $13$ liters of juice are shared equally among $4$ people?

   $\frac{13}{4}=3\frac{1}{4}$ liters per person. $13 \div 4 = 3$ remainder $1$, so $3\frac{1}{4}$ liters each.

9. What is the missing number $x$ in $\frac{3}{4}\times x=3$?

   $x=4$. Since $\frac{3}{4} \times 4 = 3$, the missing number is $4$.

10. What is $9\div 4$ written as a mixed number?

    $2\frac{1}{4}$. $9 \div 4 = 2$ remainder $1$, so $2\frac{1}{4}$.

11. What is $9\div 2$ written as a mixed number in simplest form?

    $4\frac{1}{2}$. $9 \div 2 = 4$ remainder $1$, so $4\frac{1}{2}$.

12. What is $20\div 7$ written as a mixed number?

    $2\frac{6}{7}$. $20 \div 7 = 2$ remainder $6$, so $2\frac{6}{7}$.

13. What is $8\div 3$ written as a mixed number?

    $2\frac{2}{3}$. $8 \div 3 = 2$ remainder $2$, so $2\frac{2}{3}$.

14. What is $7\div 3$ written as a mixed number in simplest form?

    $2\frac{1}{3}$. $7 \div 3 = 2$ remainder $1$, so $2\frac{1}{3}$.

15. What is the quotient $5\div 8$ written as a fraction in simplest form?

    $\frac{5}{8}$. $5$ divided by $8$ equals the fraction $\frac{5}{8}$.

16. What is each persons share if $9$ meters of ribbon are cut into $5$ equal pieces?

    $\frac{9}{5}=1\frac{4}{5}$ meters per piece. $9 \div 5 = 1$ remainder $4$, so $1\frac{4}{5}$ meters each.

17. Find the correct fraction for this statement: '12 items shared equally by 8 people'.

    $\frac{12}{8}=\frac{3}{2}$ each. $12 \div 8 = \frac{12}{8} = \frac{3}{2}$ in simplest form.

18. What is each persons share if $6$ liters are shared equally by $4$ bottles?

    $1\frac{1}{2}$ liters. $6 \div 4 = 1$ remainder $2$, which simplifies to $1\frac{1}{2}$.

19. What is $15\div 6$ written as a simplified mixed number?

    $2\frac{1}{2}$. $15 \div 6 = 2.5 = 2\frac{1}{2}$ in simplest form.

20. What is the value of $3\div 4$ written as a fraction?

    $\frac{3}{4}$. Division can be written as a fraction.

21. What is $10\div 4$ written as a mixed number in simplest form?

    $2\frac{1}{2}$. $10 \div 4 = 2$ remainder $2$, which simplifies to $2\frac{1}{2}$.

22. What is each persons share if $50$ pounds of rice are shared equally by $9$ people?

    $\frac{50}{9}$ pounds. $50$ pounds divided by $9$ people equals $\frac{50}{9}$ pounds each.

23. What mixed number represents sharing $7$ wholes equally among $3$ people?

    $2\frac{1}{3}$. $7 \div 3 = 2$ remainder $1$, so each gets $2\frac{1}{3}$.

24. What is $0\div 7$ written as a fraction in simplest form?

    $\frac{0}{7}$. Zero divided by any non-zero number equals zero.

25. What is $12\div 5$ written as a mixed number in simplest form?

    $2\frac{2}{5}$. $12 \div 5 = 2$ remainder $2$, so $2\frac{2}{5}$.

26. What is $3\div 4$ written as a fraction in simplest form?

    $\frac{3}{4}$. Division of whole numbers can be written as a fraction.

27. What is each persons share if $4$ pizzas are shared equally among $5$ people?

    $\frac{4}{5}$ pizza. $4$ pizzas divided by $5$ people equals $\frac{4}{5}$ pizza each.

28. What fraction represents sharing $2$ wholes equally among $5$ people?

    $\frac{2}{5}$. Each person gets $\frac{2}{5}$ when $2$ is divided by $5$.

29. Which fraction equals $4\div 6$ in simplest form?

    $\frac{2}{3}$. $4 \div 6 = \frac{4}{6} = \frac{2}{3}$ in simplest form.

30. What is each persons share if $11$ liters of juice are shared equally among $4$ people?

    $2\frac{3}{4}$ liters. $11 \div 4 = 2$ remainder $3$, so each gets $2\frac{3}{4}$ liters.

31. What is the quotient $9\div 4$ written as a mixed number?

    $2\frac{1}{4}$. $9 \div 4 = 2$ remainder $1$, so $2\frac{1}{4}$.

32. What fraction represents sharing $8$ wholes equally among $10$ people in simplest form?

    $\frac{4}{5}$. $8 \div 10 = \frac{8}{10} = \frac{4}{5}$ in simplest form.

33. What does the fraction $\frac{a}{b}$ mean as a division expression?

    $\frac{a}{b}=a\div b$. A fraction represents division of the numerator by the denominator.

34. What is the value of $3\div 4$ written as a fraction in simplest form?

    $\frac{3}{4}$. Division of whole numbers can be written as a fraction.

35. What fraction represents sharing $3$ wholes equally among $4$ people?

    $\frac{3}{4}$. Each person gets $\frac{3}{4}$ when $3$ is divided by $4$.

36. What mixed number represents sharing $7$ wholes equally among $3$ people?

    $2\frac{1}{3}$. Each person gets $\frac{7}{3} = 2\frac{1}{3}$ wholes.

37. What is each persons share if $11$ meters of ribbon are cut equally into $5$ pieces?

    $2\frac{1}{5}$ meters. $11 \div 5 = 2$ remainder $1$, so $2\frac{1}{5}$ meters each.

38. What fraction represents sharing $5$ wholes equally among $6$ people?

    $\frac{5}{6}$. Each person gets $\frac{5}{6}$ when $5$ is divided by $6$.

39. What is the missing number $x$ in $\frac{7}{3}\times x=7$?

    $x=3$. Since $\frac{7}{3} \times 3 = 7$, the missing number is $3$.

40. Identify the missing number: $ \frac{3}{4} \times \square=3$.

    $4$. $\frac{3}{4} \times 4 = 3$, so the missing number is $4$.

41. What is each person's share if $50$ pounds of rice are shared equally by $9$ people?

    $\frac{50}{9}=5\frac{5}{9}$ pounds per person. $50 \div 9 = 5$ remainder $5$, so $5\frac{5}{9}$ pounds each.

42. Between which two whole numbers does $\frac{50}{9}$ lie?

    Between $5$ and $6$. $\frac{50}{9} = 5\frac{5}{9}$, which is between $5$ and $6$.

43. What fraction represents sharing $3$ whole pizzas equally among $4$ people?

    $\frac{3}{4}$ pizza per person. $3$ pizzas divided by $4$ people equals $\frac{3}{4}$ each.

44. What fraction represents sharing $3$ wholes equally among $4$ people?

    $\frac{3}{4}$. Each person gets $\frac{3}{4}$ when $3$ is divided by $4$.

45. What fraction represents sharing $5$ whole sandwiches equally among $6$ people?

    $\frac{5}{6}$ sandwich per person. $5$ sandwiches divided by $6$ people equals $\frac{5}{6}$ each.

46. What is $12\div 5$ written as a mixed number?

    $2\frac{2}{5}$. $12 \div 5 = 2$ remainder $2$, so $2\frac{2}{5}$.

47. What is each person's share if $8$ pizzas are shared equally by $3$ students?

    $2\frac{2}{3}$ pizzas. $8 \div 3 = 2$ remainder $2$, so $2\frac{2}{3}$ pizzas each.

48. What is each persons share if $9$ cookies are shared equally by $12$ children?

    $\frac{3}{4}$ cookie. $9 \div 12 = \frac{9}{12} = \frac{3}{4}$ cookie each.

49. What multiplication equation shows that $\frac{a}{b}$ is the result of $a\div b$?

    $\frac{a}{b}\times b=a$. Multiplying a fraction by its denominator gives the numerator.

50. What is the quotient $12\div 5$ written as a mixed number?

    $2\frac{2}{5}$. $12 \div 5 = 2$ remainder $2$, so $2\frac{2}{5}$.

51. What is $7\div 2$ written as a mixed number?

    $3\frac{1}{2}$. $7 \div 2 = 3$ remainder $1$, so $3\frac{1}{2}$.

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