To convert an improper fraction to a mixed number, we divide the numerator (top number) by the denominator (bottom number).
- The
quotient (the result of the division) becomes the whole number.
- The
remainder becomes the new numerator.
- The
denominator stays the same.
Let’s go through each problem:
---
1) 7/3
7 ÷ 3 = 2 with remainder 1 →
2 1/3
2) 13/2
13 ÷ 2 = 6 with remainder 1 →
6 1/2
3) 56/9
56 ÷ 9 = 6 with remainder 2 →
6 2/9
4) 44/6
First, simplify? Not necessary — just divide.
44 ÷ 6 = 7 with remainder 2 →
7 2/6 → but we can reduce 2/6 to 1/3 →
7 1/3
Wait — let’s check:
6 × 7 = 42, 44 - 42 = 2 → so 7 2/6 → yes, reduces to 7 1/3.
But since the worksheet doesn’t specify simplifying, maybe leave as 7 2/6?
Actually, in math, we usually simplify fractions. So better to write
7 1/3
But let’s see what the original fraction is: 44/6 → both divisible by 2 → 22/3 → then 22 ÷ 3 = 7 R1 → 7 1/3. Same answer.
So final:
7 1/3
5) 26/5
26 ÷ 5 = 5 with remainder 1 →
5 1/5
6) 27/6
27 ÷ 6 = 4 with remainder 3 →
4 3/6 → simplify 3/6 to 1/2 →
4 1/2
Check: 6×4=24, 27-24=3 → yes. Simplify → 4 1/2
7) 20/7
20 ÷ 7 = 2 with remainder 6 →
2 6/7
8) 58/9
58 ÷ 9 = 6 with remainder 4 →
6 4/9
9) 11/4
11 ÷ 4 = 2 with remainder 3 →
2 3/4
10) 18/7
18 ÷ 7 = 2 with remainder 4 →
2 4/7
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Double-checking all:
1) 7/3 → 2*3=6, 7-6=1 → 2 1/3
✔
2) 13/2 → 6*2=12, 13-12=1 → 6 1/2
✔
3) 56/9 → 6*9=54, 56-54=2 → 6 2/9
✔
4) 44/6 → 7*6=42, 44-42=2 → 7 2/6 → 7 1/3
✔
5) 26/5 → 5*5=25, 26-25=1 → 5 1/5
✔
6) 27/6 → 4*6=24, 27-24=3 → 4 3/6 → 4 1/2
✔
7) 20/7 → 2*7=14, 20-14=6 → 2 6/7
✔
8) 58/9 → 6*9=54, 58-54=4 → 6 4/9
✔
9) 11/4 → 2*4=8, 11-8=3 → 2 3/4
✔
10) 18/7 → 2*7=14, 18-14=4 → 2 4/7
✔
All correct.
Final Answer:
1) 2 1/3
2) 6 1/2
3) 6 2/9
4) 7 1/3
5) 5 1/5
6) 4 1/2
7) 2 6/7
8) 6 4/9
9) 2 3/4
10) 2 4/7
Parent Tip: Review the logic above to help your child master the concept of turning mixed numbers into improper fractions worksheet.