numbers that name part of a whole or part of a group. 1 2 1 4 1 3

37
Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Upload: gabriella-fowler

Post on 03-Jan-2016

217 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Numbers that name part of a whole or part of a group.

1

2

1

4

1

3

Page 2: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on an Arrow Button to Learn About Fractions With the

Four Basic Operations:

Page 3: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on an arrow button to learn about:

1

4 4

2

+

Adding with the same denominator

1

2 5

3

+

Adding with a different denominator

Page 4: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Adding fractions with like denominators is easy.

3

8

2

8+Like denominators are fractions with the same denominator

To complete this fraction sentence:

3

8

2

8+ =

Add the numerators

Keep the denominators the same

5

8

Add the numerators

Keep the denominators the same

Page 5: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Here are more examples:

4

12

6

12+ =10

12

1

7

4

7+ =5

7

10

25

10

25+ =20

25

Page 6: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on the yellow box below to practice adding fractions with like denominators.

Scroll down to the section to practice and check your answers.

Adding Fractions Online - Like

Click on the Education button to complete a worksheet.

Print it off and hand it to your teacher.

Page 7: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Adding fractions with unlike denominators takes more work.

Unlike denominators are fractions with different denominators.

To add these fractions, we need to change them so the denominators are the same (Least Common Denominator - LCD).

3

8

1

4+

Page 8: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

3

8

1

4+To answer this question: First we need to find the multiples of both denominators

8

16

24

32

4

8

12

16

The LCD is 8 !

Our fraction denominators will now be 8:

8

8+Now we only

need calculate the numerators!

Page 9: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

3

8

1

4+

8

8+

First we find out what number we use to multiply the numerator to the LCD:

x1 x2

We use these numbers to multiply and find the numerator.

3 2

Page 10: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Let us look at some examples:

2

3

3

4+3

6

9

12

4

8

12

16

Page 11: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

1

3

2

4+

12

12+x4 x3

4 6

The LCD is 12.

Page 12: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Let us look at one more:

4

7

3

5+7

14

21

28

35

40

45

5

10

15

20

25

30

35

Page 13: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

2

7

3

5+

35

35+x5 x7

10 21

The LCD is 35.

Page 14: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Once you have found the LCD – you simply add the numerators and the denominators stay the same!

4

12

6

12+

6

16

4

16+

10

35

21

35+

=10

16

=10

12

=31

35

Page 15: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on the yellow box below to practice adding fractions with unlike denominators.

Scroll down to the section to practice and check your answers. Use paper to help you.

Click on the Education button to complete a worksheet.

Print it off and hand it to your teacher.

Adding Fractions Online - Unlike

Page 16: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on an arrow button to learn about:

3

4 4

1

-

Subtracting with the same denominator

1

2 7

2

-

Subtracting with a different denominator

Page 17: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Subtracting fractions with like denominators is easy.

4

8

2

8-Like denominators are fractions with the same denominator

To complete this fraction sentence:

4

8

2

8- =

Subtract the numerators

Keep the denominators the same

2

8

Subtract the numerators

Keep the denominators the same

Page 18: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Here are more examples:

6

12

5

12- =1

12

5

7

4

7- =1

7

21

25

13

25- =8

25

Page 19: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on the yellow box below to practice subtracting fractions with like denominators.

Scroll down to the section to practice and check your answers.

Click on the Education button to complete a worksheet.

Print it off and hand it to your teacher.

Subtracting Fractions Online - Like

Page 20: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Subtracting fractions with unlike denominators takes more work.

Unlike denominators are fractions with different denominators.

To subtract these fractions, we need to change them so the denominators are the same (Least Common Denominator - LCD).

5

8

1

4-

Page 21: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

5

8

1

4-To answer this question: First we need to find the multiples of both denominators

8

16

24

32

4

8

12

16

The LCD is 8 !

Our fraction denominators will now be 8:

8

8-Now we only

need calculate the numerators!

Page 22: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

5

8

1

4-

8

8-

First we find out what number we use to multiply the numerator to the LCD:

x1 x2

We use these numbers to multiply and find the numerator.

5 2

Page 23: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Let us look at some examples:

3

4

2

3-4

8

12

16

3

6

9

12

Page 24: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

3

4

2

3-

12

12-x3 x4

9 8

The LCD is 12.

Page 25: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Let us look at one more:

5

7

2

5-7

14

21

28

35

40

45

5

10

15

20

25

30

35

Page 26: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

5

7

2

5-

35

35-x5 x7

25 14

The LCD is 35.

Page 27: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Once you have found the LCD – you simply subtract the numerators and the denominators stay the same!

7

12

3

12-

6

16

4

16-

30

35

15

35-

=2

16

=4

12

=15

35

Page 28: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on the yellow box below to practice subtracting fractions with unlike denominators.

Scroll down to the section to practice and check your answers.

Click on the Education button to complete a worksheet.

Print it off and hand it to your teacher.

Subtracting Fractions Online - Unlike

Page 29: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

2

3 7

3x

Page 30: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Multiplying fractions is easy.

3

4

2

5x

It doesn’t matter whether the denominators are the same or different!

To complete this fraction sentence:

3

4

2

5x =

Multiply the numerators

Multiply the denominators

6

20

Multiply the numerators

Multiply the denominators

Page 31: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Here are more examples:

2

12

2

3x =

4

36

1

7

3

5x =

3

35

2

6

8

10x =

16

60

Don’t forget to simplify/reduce your fraction!

Page 32: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on the yellow box below to practice multiplying fractions.

Scroll down to the section to practice and check your answers. Use paper to help you simplify them.

Click on the button below to complete a worksheet.

Print it off and hand it to your teacher.

Multiplying Fractions Online

Page 33: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

2

3 7

3

Page 34: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Dividing fractions only has a couple of steps.

3

4

2

5

The first thing to do is change it into a multiplication problem.

3

4x

5

2

To do this, you simply turn-over (invert) the numerator and denominator of the latter fraction.

Page 35: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Our question started as:

3

4

2

5

Then we changed it to:

3

4x

5

2We simply complete this problem in the same regular

way we answer any multiplying fraction problem.

Page 36: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

That is:

3

4x

5

2

Don’t forget to simplify/reduce the fraction!

Multiply the numerators

Multiply the denominators= 15

8

Page 37: Numbers that name part of a whole or part of a group. 1 2 1 4 1 3

Click on the yellow box below to practice dividing fractions.

Scroll down to the section to practice and check your answers. Use paper to help you simplify them.

Click on the Education button to complete a worksheet.

Print it off and hand it to your teacher.

Dividing Fractions Online