Students complete nine fill-in-the-blank problems about multiplication vocabulary, reciprocals of fractions and whole numbers, and product definitions. The matching activity pairs four fraction multiplication problems — including 2/3 × 3/5 and 5/6 × 3/10 — with their simplified products.
Matching fraction pairs to their simplified products requires students to multiply numerators, multiply denominators, and simplify — completing the full fraction multiplication process independently for each problem.
Style:
Multiplying and Dividing Fractions
Part A: Fill in the Blank
Write the missing word or number on each line.
1. The product of two fractions is the result when you multiply them.
2. The reciprocal of 34 is 43.
3. The reciprocal of 5 written as a fraction is 15.
4. Reducing 812 to simplest form means dividing numerator and denominator by their GCF.
5. Cross-cancellation lets you divide a numerator and a denominator by a common factor before multiplying.
6. 23 × 34 = 12 after cross-cancelling the 3s.
7. To divide by a fraction, multiply by its reciprocal.
8. The product of 58 × 45 in simplest form is 12.
9. When a fraction is in simplest form, its numerator and denominator share no common factor other than 1.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
23 × 35
→ 25
29
47 × 78
→ 12
14
12 × 49
→ 29
25
56 × 310
→ 14
12
Multiplying and Dividing Fractions
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) The product of two fractions is the result when you multiply them.
2) The reciprocal of 3/4 is 4/3.
3) The reciprocal of 5 written as a fraction is 1/5.
4) Reducing 8/12 to simplest form means dividing numerator and denominator by their GCF.
5) Cross-cancellation lets you divide a numerator and a denominator by a common factor before multiplying.
6) 2/3 × 3/4 = 1/2 after cross-cancelling the 3s.
7) To divide by a fraction, multiply by its reciprocal.
8) The product of 5/8 × 4/5 in simplest form is 1/2.
9) When a fraction is in simplest form, its numerator and denominator share no common factor other than 1.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
2/3 × 3/5
→ 2/5
2/9
4/7 × 7/8
→ 1/2
1/4
1/2 × 4/9
→ 2/9
2/5
5/6 × 3/10
→ 1/4
1/2
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10 Questions
10-15 minutes
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