Improper fractions and mixed numbers

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Transcript Improper fractions and mixed numbers

These numbers are called
1
whole numbers
15
6
22
3
47
These numbers are called
1
2
3
15
5
6
Proper
fractions
2
3
4
7
12
22
These numbers are called
4
2
Improper
fractions
25
15
7
6
9
3
30
22
10
7
When a number includes both
whole numbers and fractions
1
1
2
What is it called?
It is called a
mixed number
1
1
2
Here are some
mixed numbers
2
1
3
1
3
6
8
2
5
5
4
9
2
1
4
How much chocolate?
= Whole chocolate bar
= Whole chocolate bar
If 1 bar contains 4 squares…….
= 1 bar of chocolate
Then how many bars of chocolate
are here?
10
8
80
4
= 80 ÷4 = 20
Can you do this on your
whiteboard?
= 1 bar of chocolate
32
= ???
6
Remember:
numerator ÷ denominator
Can you do this on your
whiteboard?
= 1 bar of chocolate
32
6
= 32 ÷ 6 = 5r2 = 5
Remember: The denominator
stays the same
2
6
To convert an improper fraction to
a mixed number what do you do?
Numerator ÷ Denominator
If it isn’t a whole number then
keep the denominator the same.
Do some in your book…
44
5
36
4
16
3
87
10
61
6
18
8
But, how do you convert a mixed
number to an improper fraction?
2 =?
1
2
2
1
2
2 groups of 2 with 1
remaining.
(2 x 2)+1 = 5 =
5
2
5 =?
3
4
23
(5 x 4)+3 = 23 =
4
23
4
= 23 ÷ 4 = 5r3 = 5
3
4
To convert a mixed number to an
improper fraction what do you do?
(Whole number × Denominator)
+ Numerator
Keep the denominator the same.
Do some in your book…
7
9
2
3
4
8
3
5
3
4
1
5
6
4
5
8
6
9