Reciprocals take center stage. Students name the reciprocal of 7/8, write 6 as 1/6, and finish division-by-multiplication chains like 3/4 / 1/2 = 3/4 x 2/1 and 5/9 / 5/6 = 5/9 x 6/5. They also state that any number times its reciprocal equals 1.
A matching task pairs 4/5 / 2/5, 3/7 / 9/14, 1/3 / 2/9, and 5/8 / 5/4 with their answers. By the end, fifth graders see the keep-change-flip rule as a real shortcut, not a memorized trick.
Style:
Multiplying and Dividing Fractions
Part A: Fill in the Blank
Write the missing word or number on each line.
1. The reciprocal of 78 is 87.
2. 34 ÷ 12 = 34 × 21 = 112.
3. 59 ÷ 56 = 59 × 65 = 23.
4. Dividing by 14 is the same as multiplying by 4.
5. 710 ÷ 720 = 710 × 207 = 2.
6. 25 ÷ 415 = 25 × 154 = 112 as a mixed number.
7. A number multiplied by its reciprocal always equals 1.
8. 38 ÷ 34 = 38 × 43 = 12.
9. The reciprocal of 6 written as a fraction is 16.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
45 ÷ 25
→ 2
12
37 ÷ 914
→ 23
23
13 ÷ 29
→ 112
112
58 ÷ 54
→ 12
2
Multiplying and Dividing Fractions
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) The reciprocal of 7/8 is 8/7.
2) 3/4 ÷ 1/2 = 3/4 × 2/1 = 1 1/2.
3) 5/9 ÷ 5/6 = 5/9 × 6/5 = 2/3.
4) Dividing by 1/4 is the same as multiplying by 4.
5) 7/10 ÷ 7/20 = 7/10 × 20/7 = 2.
6) 2/5 ÷ 4/15 = 2/5 × 15/4 = 1 1/2 as a mixed number.
7) A number multiplied by its reciprocal always equals 1.
8) 3/8 ÷ 3/4 = 3/8 × 4/3 = 1/2.
9) The reciprocal of 6 written as a fraction is 1/6.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
4/5 ÷ 2/5
→ 2
1/2
3/7 ÷ 9/14
→ 2/3
2/3
1/3 ÷ 2/9
→ 1 1/2
1 1/2
5/8 ÷ 5/4
→ 1/2
2
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