unit 4 lesson 2 equivalent fractions. multiple the product of a whole number multiplied times any...

UNIT 4 LESSON 2 EQUIVALENT FRACTIONS

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

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 5 & 10?

10, 20, 30, 40, 50, 60

LEAST COMMON MULTIPLE

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

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

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

WHAT IS THE LEAST COMMON MULTIPLE OF 3 & 8

8 = 8, 16, 24, 32, 40, 48 3 = 3, 6, 9, 12, 15, 21, 24

WHAT IS THE LEAST COMMON MULTIPLE OF 4 & 8

8 = 8, 16, 24, 32, 40, 48 4 = 4, 8, 12, 16, 20, 24

PRACTICE FIND LCM FOR THE FOLLOWING• 2

• 5

WHAT IS THE LCD OR LEAST COMMON DENOMINATOR

• Find the multiples of each denominator.1

= 5, 10, 15, 20, 25, 301

= 10, 20, 30, 40, 50+

5

10

WHAT IS THE LCD OR LEAST COMMON DENOMINATOR

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

15 = 5, 10, 15, 20, 25, 301

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

WHAT IS THE LCD OR LEAST COMMON DENOMINATOR

• Use the lowest common multiple as the denominator.

15 = 5, 10, 15 ,20 ,25 ,301

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

WHAT IS THE LCD OR LEAST COMMON DENOMINATOR

• This number is also called the least common denominator.

15 = 5, 10, 15 ,20 ,25 ,301

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

FIND THE LEAST COMMON DENOMINATOR OR LEAST COMMON MULTIPLE

12 = 2, 4, 6, 8, 10, 1218 = 8, 16, 24, 32, 40+

FIND THE LEAST COMMON DENOMINATOR OR LCD

110 = 10, 20, 30, 40, 18 = 8, 16, 24, 32, 40+

FIND THE LEAST COMMON DENOMINATOR

110 = 10, 20, 30, 40, 14 = 4, 8, 12, 16, 20, +

What is the LCM used for?The LCM is used to find common denominators so that fractions may be easily compared, added, or subtracted.

5

8

7

1224 24

15 14 33 2

2 >

GIANT ONE

GIANT ONE

The Giant One is used to find equivalent fractions.

It is used to reduce or simplify fractions.

The giant one works because of the Identity Property.

3 5 15

4 5 20

4 2 2

10 2 5

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To compare fractions sometimes we use inequality symbols rather than an equal

sign. Means larger or greater than Means smaller or less thanMeans equal to

><=Large # Small #

The hungry alligator eats the larger number.

To compare fractions sometimes we use inequality symbols rather than an equal

sign. Means larger or greater than Means smaller or less thanMeans equal to

><=

5 4 5 is greater

than 4

Which is greater?

715

920

LCM 60

60

6028 27

>

7 9 is greater than 15 20

44 3

3

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Use < or > to compare the fractions below.

4 5 5 735

35

28 25> 7

7 5

5

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Use < or > to compare the fractions below.

5 9 8 1616

1610 9 2

2 1

1

Use < or > to compare the fractions below.

5 4 12 936

36

15 16 33 4

4

Use < or > to compare the fractions below.

5 4 12 936

36

15 16 33 4

4

PRACTICE PROBLEMS

• Pages 130 and 131 # 7 through #35