Transcript MIXED NUMBERS AND IMPROPER FRACTIONS

MIXED NUMBERS AND
IMPROPER FRACTIONS
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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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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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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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The number below shows the
number line show 2 groups of
fractions.
0
1
2
6
6
3
6
4
5
6
7
8
9
10
11
12
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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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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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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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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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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Example – 2
• Write 3 ¼ as improper fractions.
• i.e 3 ¼ = (3 x 4) + 1 = 13
4
4
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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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Improper Fractions as
Mixed Fractions
• Improper fractions
can also be written as
mixed numbers.
Divide the numerator
by the denominator.
4
• Example: 18
4
18
42
4
16
4
2
Use the remainder as the
numerator of the
fraction
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EXAMPLE – 2
• Write 17 into mixed
fractions
8
2
17
8
Divide 17/8
1
17 = 2 1
8
16
8
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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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BREAK
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JUST RELAX AND SOLVE THIS
http://www.thekidzpage.com/onlinejigsawpu
zzles/jigsaw-puzzles/12-piece-jigsaw/0328-06-sxc-snail.html
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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 1/8
ii) 3 ¾
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Answers
I
2
+
¼
9 = 2¼
4
2
4 + 1/8 = 33/8
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Answer- II (ii)
3
+
¾
3+¾=3¾
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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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Assignments
• Mr. G walked 59/ 8 meters. Write the
distance Mr. G walked as mixed number.
Answer : divide 59/8
7
59 ÷ 8 = 7 3/8
8
59
56
3
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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
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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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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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THAT’S ALL ABOUT
MIXED NUMBERS AND
IMPROPER FRACTIONS
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