Solve Fraction Multiplication Word Problems - 4th Grade Math

1. What is $4 \times \frac{2}{9}$?

   $\frac{8}{9}$. Multiply the whole number by the numerator: $4 \times 2 = 8$.

2. What is $\frac{2}{5}$ of $15$?

   $6$. Calculate: $\frac{2 \times 15}{5} = \frac{30}{5} = 6$.

3. What is the total distance if you walk $5$ times $\frac{2}{9}$ mile?

   $5 \times \frac{2}{9} = \frac{10}{9}$. Total distance equals number of trips times distance per trip.

4. What is $2 \times \frac{7}{8}$?

   $\frac{7}{4}$. Calculate: $\frac{2 \times 7}{8} = \frac{14}{8} = \frac{7}{4}$.

5. What is the total time if $8$ songs each last $\frac{3}{10}$ minute?

   $8 \times \frac{3}{10} = \frac{24}{10}$. Total time equals number of songs times duration of each.

6. Find the missing number: $\Box \times \frac{2}{9} = \frac{8}{9}$.

   $4$. Since $4 \times 2 = 8$, the missing number is $4$.

7. What is $\frac{7}{10}$ of $20$?

   $14$. Calculate: $\frac{7 \times 20}{10} = \frac{140}{10} = 14$.

8. What is $6 \times \frac{3}{8}$?

   $\frac{18}{8}$. Multiply the whole number by the numerator: $6 \times 3 = 18$.

9. What is $4 \times \frac{3}{5}$?

   $\frac{12}{5}$. Multiply: $\frac{4 \times 3}{5} = \frac{12}{5}$.

10. What is $12 \times \frac{2}{3}$?

    $8$. Calculate: $\frac{12 \times 2}{3} = \frac{24}{3} = 8$.

11. What is $5 \times \frac{2}{7}$?

    $\frac{10}{7}$. Multiply the whole number by the numerator: $5 \times 2 = 10$.

12. What equation matches: "Each ribbon is $\frac{3}{4}$ m long. There are $6$ ribbons. Total length?"

    $6 \times \frac{3}{4}$. Multiply number of ribbons by length of each ribbon.

13. What is $6 \times \frac{5}{6}$?

    $5$. The $6$s cancel: $\frac{6 \times 5}{6} = 5$.

14. What equation represents "$5$ times as much as $\frac{2}{3}$ of a unit"?

    $5 \times \frac{2}{3}$. Multiply the whole number by the fraction to find the total amount.

15. What does $n \times \frac{a}{b}$ mean in a word problem about equal groups?

    $n$ groups of size $\frac{a}{b}$. Represents $n$ whole groups, each containing $\frac{a}{b}$ units.

16. What is $5 \times \frac{3}{8}$?

    $\frac{15}{8}$. Multiply the whole number by the numerator: $5 \times 3 = 15$.

17. What is $3 \times \frac{5}{6}$?

    $\frac{15}{6}$. Multiply the whole number by the numerator: $3 \times 5 = 15$.

18. What is $7 \times \frac{2}{7}$?

    $2$. The $7$s cancel: $\frac{7 \times 2}{7} = 2$.

19. What is $3 \times \frac{5}{4}$ as a mixed number?

    $3\frac{3}{4}$. Calculate: $\frac{3 \times 5}{4} = \frac{15}{4} = 3\frac{3}{4}$.

20. What is $3 \times \frac{4}{7}$?

    $\frac{12}{7}$. Multiply the whole number by the numerator: $3 \times 4 = 12$.

21. What is $4 \times \frac{1}{6}$?

    $\frac{4}{6}$. Multiply the whole number by the numerator: $4 \times 1 = 4$.

22. What is $5 \times \frac{4}{6}$ in simplest form?

    $\frac{10}{3}$. First simplify $\frac{4}{6} = \frac{2}{3}$, then $5 \times \frac{2}{3} = \frac{10}{3}$.

23. What is $10 \times \frac{3}{5}$?

    $\frac{30}{5}$. Multiply the whole number by the numerator: $10 \times 3 = 30$.

24. What is $\frac{3}{8}$ of $24$?

    $9$. Calculate: $\frac{3 \times 24}{8} = \frac{72}{8} = 9$.

25. Identify the correct equation for "$7$ packs with $\frac{1}{5}$ pound each."

    $7 \times \frac{1}{5}$. Number of packs times weight per pack gives total weight.

26. What is $7 \times \frac{3}{10}$?

    $\frac{21}{10}$. Multiply the whole number by the numerator: $7 \times 3 = 21$.

27. What does $n \times \frac{a}{b}$ mean in a word problem?

    $n$ groups of $\frac{a}{b}$. Represents repeated addition of the fraction $\frac{a}{b}$, taken $n$ times.

28. What is the total length if $4$ ribbons are each $\frac{3}{8}$ meter long?

    $4 \times \frac{3}{8} = \frac{12}{8}$. Total length equals number of ribbons times length of each.

29. What is $7 \times \frac{2}{3}$?

    $\frac{14}{3}$. Multiply the whole number by the numerator: $7 \times 2 = 14$.

30. Which product is greater than $1$: $3 \times \frac{1}{2}$ or $1 \times \frac{3}{4}$?

    $3 \times \frac{1}{2}$. $3 \times \frac{1}{2} = \frac{3}{2} > 1$ while $1 \times \frac{3}{4} = \frac{3}{4} < 1$.

31. What is the total weight if $6$ boxes each weigh $\frac{1}{3}$ pound?

    $6 \times \frac{1}{3} = \frac{6}{3}$. Total weight equals number of boxes times weight of each.

32. What equation represents "$3$ groups of $\frac{2}{5}$"?

    $3 \times \frac{2}{5}$. Multiplication shows repeated groups of the same fraction.

33. What is $3 \times \frac{1}{8}$?

    $\frac{3}{8}$. Multiply: $\frac{3 \times 1}{8} = \frac{3}{8}$.

34. What is $9 \times \frac{5}{9}$?

    $5$. The $9$s cancel: $\frac{9 \times 5}{9} = 5$.

35. What is $\frac{5}{6}$ of $18$?

    $15$. Calculate: $\frac{5 \times 18}{6} = \frac{90}{6} = 15$.

36. What equation represents "$\frac{3}{4}$ of $8$ pounds"?

    $\frac{3}{4} \times 8$. "Of" in fraction problems means multiply.

37. What is $8 \times \frac{3}{4}$?

    $6$. Calculate: $\frac{8 \times 3}{4} = \frac{24}{4} = 6$.

38. What is the total amount if $3$ servings are each $\frac{4}{7}$ cup?

    $3 \times \frac{4}{7} = \frac{12}{7}$. Total amount equals number of servings times amount per serving.

39. What is $6 \times \frac{1}{3}$?

    $2$. Multiply numerator by whole number: $6 \times 1 = 6$, then divide by $3$.

40. What is $3 \times \frac{1}{9}$?

    $\frac{3}{9}$. Multiply the whole number by the numerator: $3 \times 1 = 3$.

41. What does $n \times \frac{a}{b}$ mean in a fraction word problem?

    $n$ groups of $\frac{a}{b}$. Represents repeated addition of the fraction $\frac{a}{b}$, taken $n$ times.

42. Find the missing number: $6 \times \Box = \frac{18}{5}$.

    $\frac{3}{5}$. Since $6 \times 3 = 18$, the missing fraction is $\frac{3}{5}$.

43. What is $4 \times \frac{9}{8}$ as a mixed number?

    $4\frac{1}{2}$. Calculate: $\frac{4 \times 9}{8} = \frac{36}{8} = 4\frac{4}{8} = 4\frac{1}{2}$.

44. What is $2 \times \frac{5}{12}$?

    $\frac{10}{12}$. Multiply the whole number by the numerator: $2 \times 5 = 10$.

45. What is $9 \times \frac{4}{9}$?

    $\frac{36}{9}$. Multiply the whole number by the numerator: $9 \times 4 = 36$.

46. What is $10 \times \frac{3}{10}$?

    $3$. The $10$s cancel: $\frac{10 \times 3}{10} = 3$.

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