Grade 4 fluency with the rule a x (b/c) = (a x b)/c using products like 3 x 2/7, 4 x 3/8, and 5 x 2/3. Students compute improper fractions and convert results such as 12/8 into mixed numbers like 1 1/2. Matching items pair each multiplication expression to its corresponding improper-fraction product for CCSS 4.NF.4. This Grade 4 worksheet supports classroom practice or homework review and works for math centers.
Style:
Multiplying Fractions by Whole Numbers
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Using the rule a x (b/c) = (a x b)/c, the product 3 x 2/7 is 6/7.
2. The product 4 x 3/8 written as an improper fraction is 12/8.
3. Simplifying 12/8 to a mixed number gives 1 1/2.
4. Five copies of 2/3 written as a x b/c form give the product 10/3.
5. The mixed-number form of 10/3 is 3 1/3.
6. The product 7 x 1/4 is 7/4.
7. Writing 7/4 as a mixed number gives 1 3/4.
8. Computing 6 x 2/9 using the rule yields 12/9.
9. The simplest mixed-number form of 12/9 is 1 1/3.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
3 x 2/7
→ 6/7
6/7
4 x 3/8
→ 12/8
12/8
5 x 2/3
→ 10/3
10/3
7 x 1/4
→ 7/4
7/4
Multiplying Fractions by Whole Numbers
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) Using the rule a x (b/c) = (a x b)/c, the product 3 x 2/7 is 6/7.
2) The product 4 x 3/8 written as an improper fraction is 12/8.
3) Simplifying 12/8 to a mixed number gives 1 1/2.
4) Five copies of 2/3 written as a x b/c form give the product 10/3.
5) The mixed-number form of 10/3 is 3 1/3.
6) The product 7 x 1/4 is 7/4.
7) Writing 7/4 as a mixed number gives 1 3/4.
8) Computing 6 x 2/9 using the rule yields 12/9.
9) The simplest mixed-number form of 12/9 is 1 1/3.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
3 x 2/7
→ 6/7
6/7
4 x 3/8
→ 12/8
12/8
5 x 2/3
→ 10/3
10/3
7 x 1/4
→ 7/4
7/4
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