making equivalent fractions. name the same amount but have different numerators and denominators. 1...
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Making Equivalent Fractions
Equivalent Fractions
• Name the same amount but have different numerators and denominators.
12
= 24
12
1414
Equivalent Fractions
• Are sometimes called equal fractions: two or more fractions that name the same number.
12
= 24
12
4
4
1
1
Equivalent Fraction Models
12
24
36
= =
Equivalent Fraction Models
12
48
510
= =
Equivalent Fraction Models
12
48
=
Equivalent Fraction Models
34
68
=
Equivalent Fraction Models
23
46
=
What are the missing numbers?
12
24
36
= =
What are the missing numbers?
12
48
510
= =
What are the missing numbers?
12
48
=
What are the missing numbers?
34
68
=
What are the missing numbers?
23
46
=
To Find Equivalent Fractions
• Multiply the numerator and the denominator by the same number.
13
33
39
x =
To Find Equivalent Fractions
• Divide the numerator and the denominator by the same number.
412
44
13
÷ =
• 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.
To Make Equivalent Fractions
5 x 1 = 5
23 x 1 = 23
37 x 1 = 377 x 1 = 7
17 x 1 = 17
What do you get when you multiply a number by 1?
You get that number!
All these fractions = 1
4
4
33
33
5
5
2
2
7
7
When the numerator &
denominator of a fraction are the same,
the fractionequals 1.
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 FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 3
x 3
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 4
x 4
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 9
x 9
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 3
x 3
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 9
x 9
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 3
x 3
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 7
x 7
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 5
x 5
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 4
x 4
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 5
x 5
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 6
x 6
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 9
x 9
Make An Equivalent FractionFind the Missing Numerator!
Given the newdenominator, can you
find the missing numerator?
x 6
x 6
Given the newdenominator, can you
find the missing numerator?
Make An Equivalent FractionFind the Missing Numerator!
x 4
x 4
Given the newdenominator, can you
find the missing numerator?
Make An Equivalent FractionFind the Missing Numerator!
x 8
x 8
Given the newdenominator, can you
find the missing numerator?
Make An Equivalent FractionFind the Missing Numerator!
x 6
x 6
Make Equivalent FractionsFind the Missing Numerators!
55
54
42
63
44 12
45 28
Equivalent fractions
1 whole
1/21/2
1/41/4
1/41/4
1/81/8
1/81/8
1/81/8
1/81/8
Another way of looking at them.
1 whole
½ ½
¼¼¼¼
1/81/8
1/81/8
1/81/8
1/81/8
We can see that
1/1 = 2/2 = 4/4 = 8/8
They are equivalent fractions
We can see that 2/8 is the same length as 1/4
So 2/8 = 1/4
They are equivalent fractions
1 whole
1/21/2
1/41/4
1/41/4
1/81/8
1/81/8
1/81/8
1/81/8
½
¼¼
1/81/8
1/81/8
Which fractions are equivalent to ½?
1 whole
1/2 = 2/4 = 4/8
Which of these fractions is equivalent to 1/4 ?
2/81/8
1/2
1 whole
1/21/2
1/41/4
1/41/4
1/81/8
1/81/8
1/81/8
1/81/8
2/41/4
Which of these fractions is equivalent to 4/8 ?
1/8
1 whole
1/21/2
1/41/4
1/41/4
1/81/8
1/81/8
1/81/8
1/81/8
1 whole
1/31/3
1/3
1/61/6
1/61/6
1/61/6
1/121/12
1/121/12
1/121/12
1/121/12
1/121/12
1/121/12
=
1/32/6
4/12
= Look at the equivalent fractions – each time the numerators double,
the denominators also double. Which other fraction will be equivalent?
6/244/24
8/24
Think of a pizza cut into six pieces
How many sixths are equivalent to ½?
Two quaters – two parts of four4
2One half – one part of two-
2
1
Four eighths – four parts of eight- 8
4Two quaters – two parts of four-
4
2One Half– One part of two-
2
1
Fractions
8
4
4
2
2
1
What is the connection between the numerator and denomiator ?
Therefore
Fractions
Denominator
Numerator
44
22
10
5
2
1
The Denominator is double the Numerator
X 2 X 2 X 2
The Numerator is half the Denominator
2 2 2
or
Fractions
a c d e ff
b ch dd f g
6
?
14
?
?
10
?
11
?
19
?
23
70
?
146
?
?
267
1368
?
2
1Each one of these fractions is equal to
Fractions
3
1= =
?
??
?
Write the fractions that are equal to3
1
9
315
5
Fractions
Denominator
Numerator
15
5
9
3
3
1X 3 X 3 X 3 3 3 3
Fractions
3
1
a b c ch d
dd e f ff g
ng h i l ll
6
?
18
?
21
?
?
11
?
9
36
?
?
6
?
100
?
8
60
?
Each one of these fractions is equal to
?
25
?
15
39
?
?
36144
?
Fractions
5
2= =
5
2
?
?
?
?
Write the fractions that are equal to
10
4
40
16
Fractions
40
16
10
4
5
2X 2 X 4
X 2 X 4
To make equivalent fractions we must multiply both numbers by the same number
Fractions
20
?
35
?
?
6
?
10
?
18
55
?
50
?
?
40
?
100
200
?
5
2Each one of these fractions is equal to
a b c ch d
dd e f ff g
ng h i l ll25
?
?
8
60
??
120
250
?
Fractions
Fractions
30
12
10
4
5
2 2
To simplify fractions we must divide both numbers by the same number
3
2 3
5
?
20
4
?
2
24
6
?
3
50
30
3
?
33
22
Simplify each one of these fractions
Fractions
?
3
28
21
?
2
100
20
?
7
60
35
3
?
54
18
8
?
72
27
?
4
60
44
?
3
50
30
3
?
33
22