Download Equivalent Fractions

Making
Equivalent Fractions
Equivalent Fractions
• Name the same amount but have
different numerators and
denominators.
1
2
1 = 2
2
4
1
4
1
4
Equivalent Fractions
•
Are sometimes called equal
fractions: two or more fractions
that name the same number.
1
2
1 = 2
2
4
1
4
1
4
Equivalent Fraction Models
1
2
=
2
4
=
3
6
Equivalent Fraction Models
1
2
=
4
8
=
5
10
Equivalent Fraction Models
1
2
=
4
8
Equivalent Fraction Models
3
4
=
6
8
Equivalent Fraction Models
2
3
=
4
6
What are the missing numbers?
1
2
=
2
4
=
3
6
What are the missing numbers?
1
2
=
4
8
=
5
10
What are the missing numbers?
1
2
=
4
8
What are the missing numbers?
3
4
=
6
8
What are the missing numbers?
2
3
=
4
6
To Find Equivalent Fractions
• Multiply the numerator and
the denominator by the same
number.
1 x 3
3
=
3
3
9
To Find Equivalent Fractions
• Divide the numerator and the
denominator by the same
number.
4 ÷ 4
1
=
12
4
3
To Make Equivalent Fractions
• Multiply the numerator and
denominator by the same number.
• You will get a new fraction with the
same value as the original fraction.
• We are not changing the value of the
fraction, because we are simply
multiplying by a fraction that is
equivalent to ONE.
What do you get when you multiply a
number by 1?
You get that number!
5x1=5
7x1=7
37 x 1 = 37
23 x 1 = 23
17 x 1 = 17
All these fractions = 1
7
2
When the
numerator &
denominator of a
fraction are the same,
the fraction
equals 1.
7
2
33
33
5
5
4
4
What do you get when you multiply
a fraction by 1?
You get
AN EQUIVALENT FRACTION
that makes
adding & subtracting fractions
possible.
Make An Equivalent Fraction
Find the Missing Numerator!
x3
x3
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x4
x4
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x9
x9
Make An Equivalent Fraction
Find the Missing Numerator!
x3
x3
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x9
x9
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x3
x3
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x7
x7
Make An Equivalent Fraction
Find the Missing Numerator!
x5
x5
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x4
x4
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x5
x5
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x6
x6
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x9
x9
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x6
x6
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x4
x4
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x8
x8
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x6
x6
Given the new
denominator, can you
find the missing
numerator?
Make Equivalent Fractions
Find the Missing Numerators!
44
12
55
42
45
28
54
63
Equivalent fractions
Another way of looking at them.
1 whole
1/
1/
1/
8
1/
2
1/
4
1/
8
1/
8
1/
4
1/
8
1/
8
2
1/
4
1/
8
1/
8
4
1/
8
1 whole
½
½
¼
1/
8
¼
1/
1/
8
8
¼
1/
8
1/
8
¼
1/
8
1/
8
We can see that
1/
2/ = 4/ = 8/
=
1
2
4
8
They are equivalent fractions
1/
8
1 whole
1/
1/
1/
8
1/
2
1/
4
1/
8
1/
8
1/
4
1/
8
1/
2
1/
4
8
1/
8
1/
8
4
1/
8
We can see that 2/8 is the same length as 1/4
So 2/8 = 1/4
They are equivalent fractions
Which fractions are equivalent to
½?
1 whole
½
¼
1/
8
1/
¼
1/
8
1/
8
1/
2/ = 4/
=
2
4
8
8
1 whole
1/
1/
1/
1/
4
1/
8
1/
2
8
1/
8
1/
4
1/
8
1/
8
2
1/
4
1/
8
1/
1/
2
1/
8
Which of these fractions is equivalent to 1/4
1/
8
4
?
2/
8
8
1 whole
1/
1/
1/
1/
2
1/
4
1/
8
8
1/
8
1/
4
1/
8
1/
8
1/
4
1/
2/
4
1/
8
Which of these fractions is equivalent to 4/8
1/
8
2
4
1/
8
?
1/
4
8
1 whole
1/
1/
1/
12
1/
3
1/
3
1/
6
1/
12
1/
=
2/
6
1/
6
12
1/
12
=
1/
12
1/
3
1/
6
1/
12
1/
12
1/
6
1/
12
1/
12
3
1/
6
1/
12
1/
12
6
1/
4/
12
Look at the equivalent fractions – each time the numerators double, the
denominators also double. Which other fraction will be equivalent?
8/
24
6/
24
4/
24
12
Think of a pizza cut into six pieces
How many sixths are equivalent to
½?
Fractions
12
Two
One
quaters
half – one
– two
part
parts
of twoof four
24
1 4
2
Four
eighths
–– four
parts
of twoeightHalf–
Oneparts
part of
Two One
quaters
two
four42 8
Fractions
1
2
4
Therefore
 
2 4 8
What is the connection between the numerator and denomiator ?
Fractions
Numerator X 2
Denominator
1
2
2
X2
5
10
2 X2
22 
44
The Denominator is double the Numerator
or
The Numerator is half the Denominator
2
Fractions
1
Each one of these fractions is equal to
2
a
?
6
b
?
14
c
10
?
ch
11
?
d
19
?
dd
23
?
e
?
70
f
?
146
ff
267
?
g
?
1368
Fractions
Write the fractions that are equal to
1
3
=
1
3
=
3?
9?
5?
?
15
Fractions
Numerator
X3
Denominator
1
3
3
X3
3
9
3 X3
5 
15
3
Fractions
Each one of these fractions is equal to
a
?
6
dd
?
18
ng
25
?
b
?
21
e
11
?
h
15
?
c
9
?
f
?
36
i
?
39
ch
6
?
100
ff
?
l
36
?
d
8
?
g
?
60
ll
?
144
1
3
Fractions
Write the fractions that are equal to
2
5
=
=
?4
10
?
?
16
?
40
2
5
Fractions
X4
X2
2
5
4
10
X2
16
40
X4
To make equivalent fractions we must multiply both
numbers by the same number
Fractions
2
Each one of these fractions is equal to
5
a
?
20
dd
?
35
ng
?
25
b
6
?
e
10
?
h
8
?
c
18
?
f
?
55
i
?
60
ch
?
50
ff
40
?
120
l
?
d
100
?
g
?
200
ll
?
250
Fractions
3
2
2
5
2
4
10
12
30
3
To simplify fractions we must divide both numbers
by the same number
Fractions
Simplify each one of these fractions
4 ?

20 5
6 2

24 ?
30 3

50 ?
22 ?

33 3
21 3

28 ?
20 2

100 ?
35 7

60 ?
18 ?

54 3
27 ?

72 8
44 4

60 ?
30 3

50 ?
22 ?

33 3