Types of Fractions worksheet for identifying and classifying fractions.

Let’s go step by step to solve each part.

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

First, let’s remember what each term means:

- Proper fraction: The top number (numerator) is smaller than the bottom number (denominator). Example: 2/5
- Improper fraction: The top number is bigger than or equal to the bottom number. Example: 6/4 or 12/11
- Mixed number: A whole number plus a fraction. Example: 3 5/8 or 5 8/9

Now let’s look at each one:

1) 2/5 → Numerator (2) < Denominator (5) → Proper fraction

2) 12/11 → Numerator (12) > Denominator (11) → Improper fraction

3) 6/4 → Numerator (6) > Denominator (4) → Improper fraction

4) 3 5/8 → Has a whole number (3) and a fraction (5/8) → Mixed number

5) 5 8/9 → Whole number (5) + fraction (8/9) → Mixed number

6) 1/7 → Numerator (1) < Denominator (7) → Proper fraction

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Part B: Identify each fraction and check “proper”, “improper”, or “mixed number” as appropriate.

We’ll use the same rules.

1) 3/10 → 3 < 10 → Proper

2) 9/2 → 9 > 2 → Improper

3) 4 1/6 → Whole number + fraction → Mixed number

4) 7/3 → 7 > 3 → Improper

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Final Answer:

Part A:
1) Proper fraction
2) Improper fraction
3) Improper fraction
4) Mixed number
5) Mixed number
6) Proper fraction

Part B:
1) Proper
2) Improper
3) Mixed number
4) Improper