Students complete nine fill-in-the-blank problems converting mixed numbers to improper fractions and multiplying fraction pairs, including 1 1/2 × 2/3. The matching activity pairs four mixed-number multiplication and division problems — including 2 1/2 ÷ 5/6 and 3 1/3 ÷ 2/3 — with their answers.
Converting mixed numbers to improper fractions before multiplying or dividing is the key procedural step that extends fraction operations to the format students encounter most often in real-world problems.
Style:
Multiplying and Dividing Fractions
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Convert 213 to an improper fraction: 73.
2. Convert 134 to an improper fraction: 74.
3. 112 × 23 = 32 × 23 = 1.
4. 214 × 13 = 94 × 13 = 34.
5. 312 ÷ 14 = 72 × 41 = 14.
6. 125 × 57 = 75 × 57 = 1.
7. 213 ÷ 12 = 73 × 21 = 423 as a mixed number.
8. 114 × 225 = 54 × 125 = 3.
9. 412 ÷ 34 = 92 × 43 = 6.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
113 × 34
→ 1
1
212 ÷ 56
→ 3
3
134 × 27
→ 12
5
313 ÷ 23
→ 5
12
Multiplying and Dividing Fractions
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) Convert 2 1/3 to an improper fraction: 7/3.
2) Convert 1 3/4 to an improper fraction: 7/4.
3) 1 1/2 × 2/3 = 3/2 × 2/3 = 1.
4) 2 1/4 × 1/3 = 9/4 × 1/3 = 3/4.
5) 3 1/2 ÷ 1/4 = 7/2 × 4/1 = 14.
6) 1 2/5 × 5/7 = 7/5 × 5/7 = 1.
7) 2 1/3 ÷ 1/2 = 7/3 × 2/1 = 4 2/3 as a mixed number.
8) 1 1/4 × 2 2/5 = 5/4 × 12/5 = 3.
9) 4 1/2 ÷ 3/4 = 9/2 × 4/3 = 6.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
1 1/3 × 3/4
→ 1
1
2 1/2 ÷ 5/6
→ 3
3
1 3/4 × 2/7
→ 1/2
5
3 1/3 ÷ 2/3
→ 5
1/2
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10 Questions
10-15 minutes
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