Practice identifying proper, improper, and mixed fractions with this educational worksheet.

Let’s go step by step to solve each part of the worksheet.

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Part A: State whether the given fractions are proper, improper, or mixed numbers.

Remember:
- Proper fraction: numerator < denominator (like 3/5)
- Improper fraction: numerator ≥ denominator (like 7/4 or 8/8)
- Mixed number: whole number + fraction (like 2 1/3)

Now let’s do each one:

1) 8/5 → 8 > 5 → improper fraction

2) 4 6/7 → has a whole number and a fraction → mixed number

3) 4/10 → 4 < 10 → proper fraction

4) 7/2 → 7 > 2 → improper fraction

5) 4 2/7 → whole number + fraction → mixed number

6) 6/11 → 6 < 11 → proper fraction

7) 8/6 → 8 > 6 → improper fraction

8) 7 1/4 → whole number + fraction → mixed number

9) 3/8 → 3 < 8 → proper fraction

10) 10/3 → 10 > 3 → improper fraction

11) 7 2/12 → whole number + fraction → mixed number

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Part B: Multiple choice — identify what kind of fraction it is.

1) 7/12
→ 7 < 12 → proper fraction
Options:
a) an improper fraction ✘
b) a proper fraction ✔
c) a mixed number ✘
→ Answer: b

2) 6 1/2
→ whole number + fraction → mixed number
Options:
a) a mixed number ✔
b) an improper fraction ✘
c) a proper fraction ✘
→ Answer: a

3) 11/9
→ 11 > 9 → improper fraction
Options:
a) a proper fraction ✘
b) a mixed number ✘
c) an improper fraction ✔
→ Answer: c

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Final Answer:

A)
1) improper fraction
2) mixed number
3) proper fraction
4) improper fraction
5) mixed number
6) proper fraction
7) improper fraction
8) mixed number
9) proper fraction
10) improper fraction
11) mixed number

B)
1) b
2) a
3) c