Mixed and Improper Fractions

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$Number line with fractions illustration$

📊 Part 1: Understanding Mixed and Improper Fractions

1. Which of these is a mixed number?

7/4

2¾

9/8

5/3

2. Which of these is an improper fraction?

1½

3⅖

11/5

2¾

3. Convert 2⅗ to an improper fraction:

7/5

13/5

10/5

8/5

4. Convert 17/4 to a mixed number:

4¼

3¾

4½

5¼

📏 Part 2: Using Number Lines

5. Look at the number line below (marked in thirds). Write the mixed number and improper fraction for point A:

Number line: 0 ——— 1 ——— 2 ——— 3 ——— 4 ——— 5

Point A is located at 2 and 2/3

Mixed number: _______

Improper fraction: _______

6. Convert these fractions and show your working:

a) 3¼ = _______

b) 19/6 = _______

c) 2⅝ = _______

d) 23/8 = _______

7. Place these numbers on the number line by writing them in the correct positions:

Numbers to place: 1½, 7/4, 2⅖, 13/5

Number line: 0 ——— 1 ——— 2 ——— 3

🧠 Part 3: Problem Solving

8. Sarah ate 1¾ pizzas on Monday and 9/4 pizzas on Tuesday. Did she eat the same amount both days? Explain your answer using conversions:

9. A recipe calls for 2⅗ cups of flour. Write this as an improper fraction and explain how you would measure this using a 1-cup measuring cup:

10. Circle all the fractions that are equivalent to 2½:

5/2

10/4

4/2

15/6

20/8

Mixed and Improper Fractions

Mixed and Improper Fractions

📊 Part 1: Understanding Mixed and Improper Fractions

📏 Part 2: Using Number Lines

🧠 Part 3: Problem Solving

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