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Mixed Numbers and Conversions

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Mixed Numbers and Conversions

Mixed numbers and fractions illustration

🔍 Part 1: Identifying Mixed Numbers and Improper Fractions

1. Circle the mixed numbers:

2 ½

7/4

3 ¼

9/5

2. Circle the improper fractions:

3/8

11/6

1 ¾

8/3

3. What makes a fraction "improper"?

The numerator is smaller than the denominator

The numerator is larger than the denominator

It has a whole number part

🔄 Part 2: Converting Between Forms

4. Convert these improper fractions to mixed numbers:

Remember: Divide the numerator by the denominator. The quotient is the whole number, the remainder becomes the new numerator.

a) 9/4 = ___________

b) 11/3 = ___________

c) 13/5 = ___________

5. Convert these mixed numbers to improper fractions:

Remember: Multiply the whole number by the denominator, then add the numerator.

a) 2 ¾ = ___________

b) 1 ⅝ = ___________

🎨 Part 3: Visual Representation

6. Draw circles or rectangles to show the mixed number 2 ½:
7. Look at this real-world example: "Maria ate 1 whole pizza and ¾ of another pizza."

Write this as a mixed number: ___________

Write this as an improper fraction: ___________

8. Explain in your own words: What is the difference between a mixed number and an improper fraction?

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