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Mixed Numbers and Improper Fractions
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Mixed Numbers and Improper Fractions
🍕 Part 1: Understanding Mixed Numbers and Improper Fractions
1. Look at these fractions. Circle whether each is a mixed number or an improper fraction:
a) 2 1/3
Mixed Number
Improper Fraction
b) 9/4
Mixed Number
Improper Fraction
c) 11/7
Mixed Number
Improper Fraction
d) 3 2/5
Mixed Number
Improper Fraction
🔄 Part 2: Converting Mixed Numbers to Improper Fractions
2. Convert these mixed numbers to improper fractions. Show your working:
a) 1 3/4 = _______
b) 2 1/2 = _______
c) 3 2/3 = _______
3. Remember the steps: Multiply the whole number by the denominator, then add the numerator!
🔄 Part 3: Converting Improper Fractions to Mixed Numbers
4. Convert these improper fractions to mixed numbers. Show your working:
a) 7/3 = _______
b) 13/4 = _______
c) 17/5 = _______
5. Remember: Divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator!
🎨 Part 4: Visual Representation
6. Draw pictures to show these fractions. You can use circles, rectangles, or any shapes you like:
a) Draw 1 1/2
b) Draw 5/3
7. Look at your drawings above. Are 1 1/2 and 3/2 the same amount? Explain your thinking:
🍰 Part 5: Real-Life Problems
8. Sarah ate 1 3/4 pizzas at a party. Write this as an improper fraction:
9. Tom has 11/6 metres of ribbon. Write this as a mixed number:
10. Match each mixed number with its equivalent improper fraction:
1. 2 1/4
2. 1 2/3
3. 3 1/2
4. 2 3/5
A. 13/5
B. 5/3
C. 7/2
D. 9/4
🌟 Part 6: Challenge Questions
11. Create your own fraction story problem using mixed numbers or improper fractions:
12. True or False? Tick all the statements that are correct:
An improper fraction has a numerator larger than its denominator
A mixed number always has a whole number part
4/4 is an improper fraction
2 1/2 is the same as 5/2
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