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Convert improper fractions to mixed numbers in this educational worksheet.

Improper fraction to mixed number worksheet with ten problems requiring conversion of improper fractions to mixed numbers.

Improper fraction to mixed number worksheet with ten problems requiring conversion of improper fractions to mixed numbers.

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Show Answer Key & Explanations Step-by-step solution for: Converting Improper Fraction to Mixed Number Worksheet
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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:

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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.
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