MIXED NUMBERS AND IMPROPER FRACTIONS
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Transcript of MIXED NUMBERS AND IMPROPER FRACTIONS
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CONFIDENTIAL 1
MIXED NUMBERS AND IMPROPER FRACTIONS
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CONFIDENTIAL 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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CONFIDENTIAL 3
MIXED NUMBERS
• A Mixed Number indicates the sum of a whole number and a fraction. A number like 11/3 is an example of a mixed number.
• 1 1/3 = 1 + 1/3
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CONFIDENTIAL 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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CONFIDENTIAL 5
The number below shows the number line show 2 groups of fractions.
0 1 2 3 4 5 6 7 8 9 10 11 12 6 6 6 6 6 6 6 6 6 6 6 6
The numerators are less than the denominators
The numerators are greater than the denominators
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CONFIDENTIAL 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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CONFIDENTIAL 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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CONFIDENTIAL 8
Now your turn!
• Draw a model for 3 3/8. Then write 3 3/8 as an improper fraction.
3 3/8 = 27/83 3/8 = 27/8
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CONFIDENTIAL 9
Mixed Numbers as Improper Fractions
• Multiply the whole number and the denominator. Then add the numerator
• 6 ½ = (6 x 2) + 1 = 13
2 2
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CONFIDENTIAL 10
Example – 2 • Write 3 ¼ as improper fractions.
• i.e 3 ¼ = (3 x 4) + 1 = 13
4 4
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CONFIDENTIAL 11
Your Turn!!!
• Write each mixed number as an improper fraction.
• 4 3/8 = ( 4 x 8) + 3 = 35
8 8
4 ¾ = (4 x 4) + 3 = 19
4 4
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CONFIDENTIAL 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
1188116 6 22
44
444 4 2 2 44
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CONFIDENTIAL 13
EXAMPLE – 2 • Write 17 into mixed fractions
8
Divide 17/8 17171616 11
88
22
1717 = 2 = 2 118 88 8
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CONFIDENTIAL 14
Now your turn
• Write each improper fraction as a mixed fraction.
• 19 = 3 4
5 7
. 28 = 1 11
17 17
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CONFIDENTIAL 15
BREAK
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CONFIDENTIAL 16
JUST RELAX AND SOLVE THIS
http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/03-28-06-sxc-snail.html
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CONFIDENTIAL 17
PRACTICE PROBLEMSI 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 1/8 ii) 3 ¾
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CONFIDENTIAL 18
Answers
II
2 + 2 + ¼¼9 = 2 ¼ 4
22
4 + 1/8 = 4 + 1/8 = 33/8 33/8
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CONFIDENTIAL 19
Answer- II (ii)
3 + 3 + ¾ ¾ 3 + ¾ = 3 ¾ 3 + ¾ = 3 ¾
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CONFIDENTIAL 20
MORE PRACTICE ROBLEMSIII 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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CONFIDENTIAL 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
59595656 33
88
77
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CONFIDENTIAL 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
2 2
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CONFIDENTIAL 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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CONFIDENTIAL 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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CONFIDENTIAL 25
THAT’S ALL ABOUT THAT’S ALL ABOUT MIXED NUMBERS MIXED NUMBERS AND IMPROPER AND IMPROPER FRACTIONSFRACTIONS