making equivalent fractions. name the same amount but have different numerators and denominators. 1...

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