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2. There are three types of fractional numbers
Numerator smaller than the Denominator
Proper Fractions:
Numerator greater than the Denominator
Improper Fractions:
TOP HEAVY
A whole number plus a proper fraction
Mixed Fractions:
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3. Every improper fraction (Top heavy) can be written as a mixed fraction
Every mixed fraction can be written as an improper fraction (Top heavy)
Every improper fraction (Top heavy) can be written as a mixed fraction
I am top heavy …
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4. 1 = = 11 1 1 = + + + +
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5. 1 = = 7 1 1 = + + + +
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6. 1 = = 9 1 = + +
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7. 1 = = 16 1 1 = + + + +
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8. Converting Improper Fractions to Mixed Fractions
How many halves in a whole?
How many wholes can I make out of 7 halves?
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9. 1 3 2 Easy… Converting Improper Fractions to Mixed Fractions
Q: How many wholes can I make out of 7 halves?
A: 3 wholes,
and 1 half left over
Easy…
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10. 2 2 3 4 1 5 Q: How many wholes can I make out of 8 thirds?
A: 2 wholes,
and 2 thirds left over 4 1 5
Q: How many wholes can I make out of 9 fifths?
A: 1 whole,
and 4 fifths left over
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11. 3 2 4 1 3 6 A: 2 wholes, and 3 quarters left over A: 3 wholes,
Q: How many wholes can I make out of 11 quarters?
A: 2 wholes,
and 3 quarters left over 1 3 6
Q: How many wholes can I make out 19 sixths?
A: 3 wholes,
and 1 sixth left over
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12. Change the following fractions into top heavy fractions or mixed fractions1. 7.
13.
19.
25. 2. 8.
14.
20.
26. 3. 9.
15.
21.
27. 4.
10.
16.
22.
28. 5.
11.
17.
23.
29. 6.
12.
18.
24.
30.
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14. How many quarters in 2 ? How many quarters in 3 ?
How many tenths in 2 ?
How many tenths in 1 ?
How many twelfths in 1 ? 3 4 2 3 4 = 11 4 1 2 3 10 3 5 1 3
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15. How many quarters in 2 ? How many quarters in 3 ?
How many tenths in 2 ?
How many tenths in 1 ?
How many twelfths in 1 ? 3 4 2 3 4 = 11 4 1 2 3 1 2 = 7 2 = 14 4 3 10 3 5 1 3
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16. How many quarters in 2 ? How many quarters in 3 ?
How many tenths in 2 ?
How many tenths in 1 ?
How many twelfths in 1 ? 3 4 2 3 4 = 11 4 1 2 3 1 2 = 7 2 = 14 4 3 10 2 3 10 = 23 10 3 5 1 3
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17. How many quarters in 2 ? How many quarters in 3 ?
How many tenths in 2 ?
How many tenths in 1 ?
How many twelfths in 1 ? 3 4 2 3 4 = 11 4 1 2 3 1 2 = 7 2 = 14 4 3 10 2 3 10 = 23 10 3 5 1 3 5 = 8 5 = 16 10 1 3
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18. How many quarters in 2 ? How many quarters in 3 ?
How many tenths in 2 ?
How many tenths in 1 ?
How many twelfths in 1 ? 3 4 2 3 4 = 11 4 1 2 3 1 2 = 7 2 = 14 4 3 10 2 3 10 = 23 10 3 5 1 3 5 = 8 5 = 16 10 1 3 1 1 3 = 4 3 = 16 12
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19. Mixed & Improper Fractions
Practice on
Mixed & Improper Fractions
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20. Mixed Fractions to Improper Fractions
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21. Improper Fractions to Mixed Fractions
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22. Mixed Fractions to Improper Fractions
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23. Improper Fractions to Mixed Fractions
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24. Mixed Fractions to Improper Fractions
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25. Improper Fractions to Mixed Fractions
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26. Mixed & Improper Fractions
Quick Test on
Mixed & Improper Fractions
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27. Change from mixed numbers to improper fractions and vice versa7. 6. 5. 4. 3. 2. 1.
14.
13.
12.
11.
10. 9. 8.
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28. Change from mixed numbers to improper fractions and vice versa7. 6. 5. 4. 3. 2. 1.
14.
13.
12.
11.
10. 9. 8.
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29. Change from mixed numbers to improper fractions and vice versa7. 6. 5. 4. 3. 2. 1.
14.
13.
12.
11.
10. 9. 8.
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30. Change from mixed numbers to improper fractions and vice versa7. 6. 5. 4. 3. 2. 1.
14.
13.
12.
11.
10. 9. 8.
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31. Change from mixed numbers to improper fractions and vice versa7. 6. 5. 4. 3. 2. 1.
14.
13.
12.
11.
10. 9. 8.
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32. © T Madas