Types of Fractions Worksheets - Free Printable

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.

First, let’s remember what these terms mean:

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

Now let’s check each one:

1) 8/5 → 8 > 5 → improper fraction

2) 4 6/9 → 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 1/2 → whole number + fraction → mixed number

12) 2/12 → 2 < 12 → proper fraction

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Part B: Multiple choice — choose the correct type for each fraction.

1) 6/5
→ 6 > 5 → improper fraction
Options:
a) an improper fraction ✔
b) a proper fraction
c) a mixed number
→ Answer: a

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
12) proper fraction

B)
1) a
2) a
3) c