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Improper Fractions Worksheet

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Improper Fractions Worksheet

Improper Fractions Worksheet / Raina Hautau Kino

Fraction illustration

🔍 Part 1: Definitions and Identification / Whakamarama me te Tautuhi

1. Define an improper fraction in your own words (English and te reo Māori if possible):
2. Circle all the improper fractions below:

3/4

7/5

2/3

9/7

1/2

11/8

3. Fill in the blanks using the correct te reo Māori terms:

In the fraction 13/4, the _____________ (taupānga) is greater than the _____________ (taupato), making it an improper fraction.

🔄 Part 2: Conversion Practice / Whakarerekētanga

4. Convert these improper fractions to mixed numbers. Show your working:

a) 15/4 = _______

b) 23/7 = _______

c) 19/5 = _______

5. Convert these mixed numbers to improper fractions. Show your working:

a) 3 2/5 = _______

b) 4 3/8 = _______

📏 Part 3: Number Line Placement / Whakatakoto Raina Nama

6. Place these fractions and mixed numbers on the number line below. Draw and label each position:

Fractions to place: 7/3, 2 1/4, 11/5, 3 1/2, 8/3

7. Which is larger? Circle the correct answer for each pair:

a)

13/4    
3 1/5

b)

2 3/7    
19/8

c)

25/6    
4 1/8

💭 Part 4: Explanation and Real-World Applications / Whakamārama

8. Explain in your own words why 9/4 is the same as 2 1/4. Use both English and te reo Māori vocabulary where possible:
9. Real-world problem: Aroha is making rewena bread and needs 11/3 cups of flour. How many whole cups (haumaru) does she need, and what fraction of an additional cup?

Answer: _______ whole cups and _______ of another cup

10. Match the Māori mathematical terms with their English meanings:
1. Taupānga
2. Taupato
3. Haumaru
4. Whakarerekētanga
A. Whole number
B. Conversion
C. Numerator
D. Denominator

🎯 Part 5: Challenge Questions / Wero

11. Create your own improper fraction that equals exactly 3 1/2. Show that your fraction is correct:
12. If you have 17/6 pizzas and each person eats 2/3 of a pizza, how many whole people can be fed? Explain your reasoning:

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