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Equivalent Fractions

Mrs. Emeott's 4th Grade Class

Clare Primary School

Table of Contents:

What is an Equivalent Fraction?Why use Equivalent Fractions?

How to find Equivalent Fractions? Now you try to find Equivalent Fractions

Equivalent Fractions

Equivalent means “Equal”

The numerator (top number) is differentThe denominator (bottom number) is different.

Although they are different numbers they are the same amount.

Fraction Models:

Fraction Models:

So 2/3 is the same as 8/12.

One Whole

One Whole

Cut Them in Half

1 The

Numerator

2 The

Denominator (How many pieces its cut into)

Cut them in Half Again

I still show the same thing, but now I also show a new fraction that is equal (equivalent)

1 And Also 2

2 4

They are the Same!

One Half is equivalent to 2 quarters.

1 22 = 4

Why use Equivalent Fractions?

Equivalent Fractions make large numbers easier to deal with.

Smaller numbers are simple.

50 5 1100 = 10 = 2

To Find Equivalent Fractions:

Multiply the numerator and denominator by the same number.

1 4 4

5 x 4 = 20

To Find Equivalent Fractions

Multiply the numerator and denominator by the same number.

15 Divide by 3

45 Divide by 3

Both 15 and 45 have 3as a common factor!

Find Equivalent Fractions

15 Divide by 3 5

45 = Divide by 3 15

Start thinking ahead. Can we make the 5/15 smaller? What number do 5 and 15

have in common?

5 and 15 have the number ____ in common!

a. 3

b. 2

c. 5

d. 15

That's Correct!

5 and 15 both have the number 5 in common!

So 5/15 can be made smaller by dividing the top and bottom numbers by 5!

5 1

15 = 3

That's Incorrect.

Sorry that's not right but don't give up!!!

5 and 15 both have the number 5 in common!

So 5/15 can be made smaller by dividing the top and bottom numbers by 5!

5 1

15 = 3

Now you try it!

Look at the top picture. It is cut into fourths.

The bottom picture is cut into eighths. How many eighths would be equal to the the ¾ that are shaded red?

3/4 is equal to...

a. 4/8

b. 6/8

c. 8/8

d. 3/8

Click on the correct answer.

That's Correct!

6/8 is the equivalent fraction to 3/4!

3 x 2 6

4 x 2 = 8

That's Incorrect!

6/8 is the equivalent fraction to 3/4!

3 x 2 6

4 x 2 = 8

Did you get the right answer?

6, That's Right!

6/8 = 3/4

6 divided by 2=3

8 divided by 2= 4

Find the Equivalent Fraction:

2 x 3

5 x 3 = ?

a. 6/15

b. 3/12

c. 2/3

d. 1/10

That's Correct!

2 x 3 6

5 x 3 = 15

That's Incorrect.

2 x 3 6

5 x 3 = 15

Find the Equivalent Fraction:

3 ?

8 = 56

a. 6/56

b. 18/56

c. 3/56

d. 21/56

That's Correct!

3 x7 21

8 x7 = 56

That's Incorrect.

3 x7 21

8 x7 = 56

What's the Equivalent Fraction?

What is the equivalent fraction to

½ (There is a HINT in the picture).

a. 2/4

b.1/4

c. 2/2

d. 3/4

That is Correct!

The equivalent fraction to 1/2 is 2/4.

1 x 2= 2

2 x 2= 4

That's Incorrect.

The equivalent fraction to 1/2 is 2/4.

1 x 2= 2

2 x 2= 4

Try your hand at these bonus problems!

1) Find the Equivalent Fraction to 6/9.

a. 3/9

b. 12/18

c. 6/18

d. 2/3

That's Correct!

That's Incorrect.

Bonus Problem #2

2) Find the Equivalent Fraction to 5/10.

a. 3/5

b. 2/10

c. 1/2

d. 5/20

Bonus Problem #3

3) Find the Equivalent Fraction to 11/12.

a. 111/112

b. 33/22

c. 5/6

d. 22/24

Bonus Problem #4

4) Find the Equivalent Fraction to 2/3.

a. 1/2

b. 4/6

c. 4/8

d. 1/3

Bonus Problem #5

5) Find the Equivalent Fraction to 2/8.

a. 1/4

b. 1/8

c. 3/21

d. 2/18

Sources Used: http://commons.wikimedia.org/wiki/File:Equal_Fractions_123.svg

http://commons.wikimedia.org/wiki/File:Cake_fractions.svg

http://openclipart.org/detail/66535/the-star-by-aungkarns

http://openclipart.org/detail/1697/pencil-and-note-pad-by-ausis

http://openclipart.org/detail/27962/number-animals-by-kablam

http://openclipart.org/detail/22412/emoticons:-question-face-by-nicubunu

http://kmott.wikispaces.com/Equivalent+Fraction+Chart

Http://visualfractions.com/highercircle.1gif

http://openclipart.org/detail/159643/thank-you-pinned-by-juliobahar