1. MIXED NUMBERS AND IMPROPER FRACTIONS
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2. PRE-REQUISITE SKILL DIVIDE AND ROUND TO THE NEAREST TENTH 8 ÷ 3 = 2.7
19 ÷ 6 = 3.2
52 ÷ 8 = 6.5
67 ÷ 9 = 7.4
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3. MIXED NUMBERS
A Mixed Number indicates the sum of a whole number and a fraction. A number like /3 is an example of a mixed number.
1 1/3 = 1 + 1/3
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4. Improper Fraction
If the numerator is greater than the denominator, then the fractions ae called improper fractions.
Mixed Numbers can written as improper fraction.
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5. The number below shows the number line show 2 groups of fractions.
The numerators are less than the denominators
The numerators are greater than the denominators
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6. MIXED NUMBERS AS IMPROPER FRACTIONS
Draw a model for 4 1/6, then write 4 1 as 6
Improper fractions.
Since the mixed number is greater than 4, draw 5 models that are divided into 6 equal sections to show sixths. Then shade four wholes and one sixth.
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7. Write 4 1 as an improper fraction 6
There are twenty-five 1/6 s. So, 4 1/6 can be written as 25 6
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8. Now your turn!
Draw a model for 3 3/8. Then write 3 3/8 as an improper fraction.
3 3/8 = 27/8
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9. Mixed Numbers as Improper Fractions
Multiply the whole number and the denominator. Then add the numerator
6 ½ = (6 x 2) + 1 = 13
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10. Example – 2 Write 3 ¼ as improper fractions.
i.e 3 ¼ = (3 x 4) + 1 = 13
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11. Your Turn!!!
Write each mixed number as an improper fraction.
4 3/8 = ( 4 x 8) = 35
4 ¾ = (4 x 4) = 19
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12. Improper Fractions as Mixed Fractions
Improper fractions can also be written as mixed numbers. Divide the numerator by the denominator.
Example: 18 4
Use the remainder as the numerator of the fraction 4
4 2 4 4 18 16 2
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13. EXAMPLE – 2 Write 17 into mixed fractions 8 Divide 17/8 17 8 16 1
17 = 2 1
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14. Now your turn Write each improper fraction as a mixed fraction.
19 = 3 4
= 1 11
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15. BREAK
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16. JUST RELAX AND SOLVE THIS
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17. PRACTICE PROBLEMS
I Draw a model for 9/4. Write the fraction as mixed fraction.
II Draw a model for each fraction and write the mixed number as an improper fraction.
i) 4 1/ ii) 3 ¾
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18. Answers I ¼
9 = 2 ¼ 4 2
4 + 1/8 = 33/8
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19. Answer- II (ii) ¾
3 + ¾ = 3 ¾
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20. MORE PRACTICE ROBLEMS
III Write each mixed number as an improper fraction
i) 5 1/8 = 41/8 ii) 2 7/8 =23/8
iii) 1 5/6 = 11/6 iv) 3 1/3= 10/3 v) 9 ¼ = 37/4
IV Write each improper fraction as a mixed number
i) 17/8= 2 1/8 ii) 37/3= 12 1/3
iii) 13/3 = 4 1/3 iv) 28/16 = 1 12/16
v) 78/8 = 9 6/8
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21. Assignments
Mr. G walked 59/ 8 meters. Write the distance Mr. G walked as mixed number.
Answer : divide 59/8
59 ÷ 8 = 7 3/8 7 8 59 56 3
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22. Assignments
The width of a piece of paper is 17 ½ inches. Write 17 ½ as an improper fraction.
Answer: 17 ½ = (17 x 2) +1 = 35
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23. Do this problems
City W is 45/4 meters long. Write the distance as mixed numbers.
45/4 = 11 ¼
Mr. Stephen said to Miss Mary that he wants 3 ¾ spoons of sugar for a tea. Represent 3 ¾ as improper fractions
3 ¾ = 15/4
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24. Review
A mixed number indicates the sum of a whole number and a fraction
If the numerator is greater than the denominator, then the fraction is called improper fraction.
To convert a mixed number into improper fraction, multiply the whole number and denominator and to the product add the numerator.
To convert an improper fraction into a mixed fraction, divide the numerator by the denominator and use the remainder as the numerator of the fraction.
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25. THAT’S ALL ABOUT MIXED NUMBERS AND IMPROPER FRACTIONS
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