Multiplying Fractions by Whole Numbers — Answer Key
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.
Grade 4 rule keeps denominator while multiplying numerators.
2. The product 4 x 3/8 written as an improper fraction is 12/8.
Grade 4 students multiply 4 by numerator 3 to get 12/8.
3. Simplifying 12/8 to a mixed number gives 1 1/2.
Grade 4 connects 12/8 = 1 4/8 = 1 1/2.
4. Five copies of 2/3 written as a x b/c form give the product 10/3.
Grade 4 rule a x (b/c) = (a x b)/c gives 10/3.
5. The mixed-number form of 10/3 is 3 1/3.
Grade 4 learners convert improper fractions to mixed numbers.
6. The product 7 x 1/4 is 7/4.
Grade 4 unit-fraction rule: a x 1/b = a/b.
7. Writing 7/4 as a mixed number gives 1 3/4.
Grade 4 students rewrite improper fractions in mixed form.
8. Computing 6 x 2/9 using the rule yields 12/9.
Grade 4 multiplication rule keeps denominator 9.
9. The simplest mixed-number form of 12/9 is 1 1/3.
Grade 4 learners simplify before or after converting.
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
Grade 4 rule a x (b/c) = (a x b)/c connects each product to the matching fraction.