Explanation:
We are converting improper fractions (where the numerator is bigger than or equal to the denominator) into mixed numbers (a whole number plus a proper fraction).
The method is:
1. Divide the numerator by the denominator.
2. The quotient = whole number part.
3. The remainder = new numerator.
4. The denominator stays the same.
Let’s go one by one:
1) Already done:
9 ÷ 4 = 2 remainder 1 → 2 ¼
✔
2) 10/3
10 ÷ 3 = 3 remainder 1 → 3 ¹⁄₃
3) 5/2
5 ÷ 2 = 2 remainder 1 → 2 ¹⁄₂
4) 15/4
15 ÷ 4 = 3 remainder 3 → 3 ³⁄₄
5) 12/5
12 ÷ 5 = 2 remainder 2 → 2 ²⁄₅
6) 11/6
11 ÷ 6 = 1 remainder 5 → 1 ⁵⁄₆
7) 12/7
12 ÷ 7 = 1 remainder 5 → 1 ⁵⁄₇
8) 8/2
8 ÷ 2 = 4 remainder 0 → 4 (no fraction part — it's a whole number)
9) 13/6
13 ÷ 6 = 2 remainder 1 → 2 ¹⁄₆
10) 19/8
19 ÷ 8 = 2 remainder 3 → 2 ³⁄₈
11) 13/9
13 ÷ 9 = 1 remainder 4 → 1 ⁴⁄₉
12) 23/10
23 ÷ 10 = 2 remainder 3 → 2 ³⁄₁₀
Let me double-check each division quickly:
- 3×3+1=10 ✔️
- 2×2+1=5 ✔️
- 3×4+3=15 ✔️
- 2×5+2=12 ✔️
- 1×6+5=11 ✔️
- 1×7+5=12 ✔️
- 4×2=8 ✔️
- 2×6+1=13 ✔️
- 2×8+3=19 ✔️
- 1×9+4=13 ✔️
- 2×10+3=23 ✔️
All correct.
Final Answer:
2) 3 ¹⁄₃
3) 2 ¹⁄₂
4) 3 ³⁄₄
5) 2 ²⁄₅
6) 1 ⁵⁄₆
7) 1 ⁵⁄₇
8) 4
9) 2 ¹⁄₆
10) 2 ³⁄₈
11) 1 ⁴⁄₉
12) 2 ³⁄₁₀
Parent Tip: Review the logic above to help your child master the concept of improper fractions and mixed numbers worksheet.
