Of course! Let's solve each of these problems step by step. The key to multiplying mixed numbers and whole numbers is to
convert the mixed number into an improper fraction, then multiply, and finally simplify or convert back to a mixed number if needed.
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1) 6 2/3 × 9
- Convert 6 2/3 to improper fraction:
(6 × 3 + 2)/3 = 20/3
- Multiply:
20/3 × 9 = (20 × 9)/3 = 180/3 =
60
✔ Answer: 60
---
2) 7 × 1 2/9
- Convert 1 2/9 to improper fraction:
(1 × 9 + 2)/9 = 11/9
- Multiply:
7 × 11/9 = (7 × 11)/9 = 77/9
- Convert to mixed number:
77 ÷ 9 = 8 with remainder 5 →
8 5/9
✔ Answer: 8 5/9
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3) 11 × 2 2/7
- Convert 2 2/7 to improper fraction:
(2 × 7 + 2)/7 = 16/7
- Multiply:
11 × 16/7 = (11 × 16)/7 = 176/7
- Convert to mixed number:
176 ÷ 7 = 25 with remainder 1 →
25 1/7
✔ Answer: 25 1/7
---
4) 2 1/4 × 8
- Convert 2 1/4 to improper fraction:
(2 × 4 + 1)/4 = 9/4
- Multiply:
9/4 × 8 = (9 × 8)/4 = 72/4 =
18
✔ Answer: 18
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5) 10 9/10 × 10
- Convert 10 9/10 to improper fraction:
(10 × 10 + 9)/10 = 109/10
- Multiply:
109/10 × 10 = (109 × 10)/10 = 1090/10 =
109
✔ Answer: 109
---
6) 6 × 1 7/12
- Convert 1 7/12 to improper fraction:
(1 × 12 + 7)/12 = 19/12
- Multiply:
6 × 19/12 = (6 × 19)/12 = 114/12
- Simplify: divide numerator and denominator by 6 → 19/2
- Convert to mixed number: 19 ÷ 2 = 9 with remainder 1 →
9 1/2
✔ Answer: 9 1/2
---
7) 2 × 3 2/9
- Convert 3 2/9 to improper fraction:
(3 × 9 + 2)/9 = 29/9
- Multiply:
2 × 29/9 = 58/9
- Convert to mixed number: 58 ÷ 9 = 6 with remainder 4 →
6 4/9
✔ Answer: 6 4/9
---
8) 2 3/5 × 15
- Convert 2 3/5 to improper fraction:
(2 × 5 + 3)/5 = 13/5
- Multiply:
13/5 × 15 = (13 × 15)/5 = 195/5 =
39
✔ Answer: 39
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9) 2 5/6 × 12
- Convert 2 5/6 to improper fraction:
(2 × 6 + 5)/6 = 17/6
- Multiply:
17/6 × 12 = (17 × 12)/6 = 204/6 =
34
✔ Answer: 34
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10) 4 × 7 1/2
- Convert 7 1/2 to improper fraction:
(7 × 2 + 1)/2 = 15/2
- Multiply:
4 × 15/2 = (4 × 15)/2 = 60/2 =
30
✔ Answer: 30
---
11) 5 × 3 7/8
- Convert 3 7/8 to improper fraction:
(3 × 8 + 7)/8 = 31/8
- Multiply:
5 × 31/8 = (5 × 31)/8 = 155/8
- Convert to mixed number: 155 ÷ 8 = 19 with remainder 3 →
19 3/8
✔ Answer: 19 3/8
---
12) 1 10/11 × 2
- Convert 1 10/11 to improper fraction:
(1 × 11 + 10)/11 = 21/11
- Multiply:
21/11 × 2 = 42/11
- Convert to mixed number: 42 ÷ 11 = 3 with remainder 9 →
3 9/11
✔ Answer: 3 9/11
---
##
✔ Final Answers:
1)
60
2)
8 5/9
3)
25 1/7
4)
18
5)
109
6)
9 1/2
7)
6 4/9
8)
39
9)
34
10)
30
11)
19 3/8
12)
3 9/11
Let me know if you’d like to see any steps explained further!
Parent Tip: Review the logic above to help your child master the concept of multiplying whole numbers and improper fractions to mixed numbers worksheet get.
