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Mixed Numbers and Improper Fractions

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Mixed Numbers and Improper Fractions

Mixed Numbers and Improper Fractions

Fractions and cooking illustration

🍰 Part 1: Identifying Mixed Numbers and Improper Fractions

1. Circle the mixed numbers:

2 1/3

5/4

1 2/5

7/3

3 1/2

2. Circle the improper fractions:

9/4

2 3/4

11/5

1 1/8

8/3

3. A recipe calls for 2 1/4 cups of flour. What type of number is this?

Mixed number

Improper fraction

Whole number

🔄 Part 2: Converting Mixed Numbers to Improper Fractions

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

a) 1 1/2 = _______

b) 2 1/4 = _______

c) 3 2/3 = _______

d) 1 3/5 = _______

5. Remember the rule: To convert a mixed number to an improper fraction:

Step 1: Multiply the whole number by the ____________

Step 2: Add the ____________

Step 3: Write this number over the original ____________

🔄 Part 3: Converting Improper Fractions to Mixed Numbers

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

a) 7/3 = _______

b) 9/4 = _______

c) 11/5 = _______

d) 13/6 = _______

7. To convert an improper fraction to a mixed number, I need to:

Divide the numerator by the denominator

Multiply the numerator by the denominator

Add the numerator and denominator

📏 Part 4: Number Line Practice

8. Draw and mark these fractions on the number line below:

Mark: 1 1/2, 7/4, 2 1/4, 5/2

9. Match the equivalent fractions:
1. 1 1/2
2. 2 1/4
3. 1 3/4
4. 2 1/2
A. 9/4
B. 3/2
C. 7/4
D. 5/2

🍳 Part 5: Real-Life Applications

10. Sarah is making anzac biscuits. Her recipe needs:

• 1 1/2 cups of oats

• 2 3/4 cups of flour

• 1 1/4 cups of sugar

a) Write the amount of oats as an improper fraction: _______

b) Write the amount of flour as an improper fraction: _______

c) Write the amount of sugar as an improper fraction: _______

11. A carpenter has a piece of wood that is 17/4 metres long. Write this as a mixed number:
12. Explain in your own words the difference between a mixed number and an improper fraction:

🌟 Part 6: Challenge Questions

13. Which is larger? Circle your answer and explain why:

2 1/3 or 7/3

2 1/3 is larger

7/3 is larger

They are equal

Explanation: ________________________________

14. Create your own conversion problems:

a) Write a mixed number: _______ = _______ (as an improper fraction)

b) Write an improper fraction: _______ = _______ (as a mixed number)

15. True or False? Circle your answers:

True
False: All improper fractions are greater than 1

True
False: 3/2 and 1 1/2 are equivalent

True
False: Mixed numbers always have a whole number part

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