Fraction IX Least Common Multiple Least Common Denominator - PowerPoint PPT Presentation

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Fraction IX Least Common Multiple Least Common Denominator. Product. The answer to a multiplication problem. 6 X 6 = 36. What is the product?. 7 X 8 = 56. What is the product?. 8 X 9 = 72. Multiple. The product of a whole number multiplied times any other whole number.

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Fraction IX Least Common Multiple Least Common Denominator

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Fraction IXLeast Common Multiple Least Common Denominator

Product

• The answer to a multiplication problem.

6 X 6 = 36

7 X 8 = 56

8 X 9 = 72

Multiple

• The product of a whole number multiplied times any other whole number.

Some multiples of 6

6, 12, 18, 24, 30, 36, 42

Name some multiples of 5

5, 10, 15, 20, 25, 30, 35

Name some multiples of 7

7, 14, 21, 28, 35, 42, 49

Name some multiples of 4

4, 8, 12, 16, 20, 24, 28

Name some multiples of 9

9, 18, 27, 36, 45, 54, 63

Common Multiple

• A number that is a multiple of two or more numbers.

Some multiples of 3 & 6

6, 12, 18, 24, 30, 36, 42

What are some Common Multiples for 2 & 8?

8, 16, 24, 32, 40, 48, 56

What are some Common Multiples for 4 & 6?

12, 24, 36, 48, 56, 60

21, 42, 63

What are some Common Multiples for 5 & 10?

10, 20, 30, 40, 50, 60

Least Common Multiple

• The smallest common multiple of a set of two or more numbers.

5 = 5, 10, 15, 20, 25, 30

6 = 6, 12, 18, 24, 30, 36

What is the Least Common Multiple of 3 & 8

3 = 3, 6, 9, 12, 15, 21, 24

8 = 8, 16, 24, 32, 40, 48

What is the Least Common Multiple of 4 & 8

4 = 4, 8, 12, 16, 20, 24

8 = 8, 16, 24, 32, 40, 48

What is the Least Common Multiple of 6 & 8

6 = 6, 12, 18, 24, 30, 36

8 = 8, 16, 24, 32, 40, 48

What is the Least Common Multiple of 4 & 10

4 = 4, 8, 12, 16, 20, 24

10 = 10, 20, 30, 40, 50,

What is the Least Common Multiple of 3 & 9

3 = 3, 6, 9, 12, 15, 21,

9 = 9, 18, 27, 36, 45, 54

To Add or Subtract Fractions With Unlike Denominators

• Find the multiples of each denominator.

1

5

= 5, 10, 15, 20, 25, 30

1

+

10

= 10, 20, 30, 40, 50

To Add or Subtract Fractions With Unlike Denominators

• Compare the lists of multiples. Circle the common multiples between the two lists.

1

5 = 5, 10, 15, 20, 25, 30

1

+

10 = 10, 20, 30, 40, 50

To Add or Subtract Fractions With Unlike Denominators

• Use the lowest common multiple as the denominator.

1

5 = 5, 10, 15 ,20 ,25 ,30

1

+

10 = 10, 20, 30, 40, 50

To Add or Subtract Fractions With Unlike Denominators

• This number is also called the least common denominator.

1

5 = 5, 10, 15 ,20 ,25 ,30

1

+

10 = 10, 20, 30, 40, 50

Find the Least Common Denominator or Least Common Multiple

1

2 = 2, 4, 6, 8, 10, 12

1

+

8 = 8, 16, 24, 32, 40

Find the Least Common Denominator or Least Common Multiple

1

10 = 10, 20, 30, 40,

1

+

8 = 8, 16, 24, 32, 40

Find the Least Common Denominator or Least Common Multiple

1

10 = 10, 20, 30, 40,

1

+

4 = 4, 8, 12, 16, 20,

Find the Least Common Denominator or Least Common Multiple

1

2 = 2, 4, 6, 8, 10,

1

+

4 = 4, 8, 12, 16, 20,

Find the Least Common Denominator or Least Common Multiple

1

2 = 2, 4, 6, 8, 10, 12

1

+

12 = 12, 24, 36, 48

Find the Least Common Denominator or Least Common Multiple

1

3 = 3, 6, 9, 12, 15

1

+

4 = 4, 8, 12, 16, 20,

Find the Least Common Denominator or Least Common Multiple

1

3 = 3, 6, 9, 12, 15

1

+

5 = 5, 10, 15, 20, 25,

Find the Least Common Denominator or Least Common Multiple

1

3 = 3, 6, 9, 12, 15

1

+

9 = 9, 18, 27, 36, 45,

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Check to see if the smaller denominator

divides evenly into the larger denominator.

If it does, use the larger denominator for

1

3 will divide evenly into 9,

so 9 is your LCD or LCM.

3

1

+

9

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Using the shortcut, what is the LCD or

LCM?

1

2 will divide evenly into 4,

so 4 is your LCD or LCM.

2

1

+

4

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Using the shortcut, what is the LCD or

LCM?

1

2 will divide evenly into 10,

so 10 is your LCD or LCM.

2

1

+

10

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Using the shortcut, what is the LCD or

LCM?

1

2 will divide evenly into 12,

so 12 is your LCD or LCM.

2

1

+

12

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Using the shortcut, what is the LCD or

LCM?

1

4 will divide evenly into 8,

so 8 is your LCD or LCM.

4

1

+

8

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Using the shortcut, what is the LCD or

LCM?

1

3 will divide evenly into 6,

so 6 is your LCD or LCM.

3

1

+

6

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Using the shortcut, what is the LCD or

LCM?

1

3 will divide evenly into 12,

so 12 is your LCD or LCM.

3

1

+

12

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Using the shortcut, what is the LCD or

LCM?

1

3 will divide evenly into 15,

so 15 is your LCD or LCM.

3

1

+

15

Shortcut for Finding the Least Common Denominator or Least Common Multiple

Using the shortcut, what is the LCD or

LCM?

1

3 will not divide evenly into

8, so find the least common

multiple.

3

1

+

8