UNIT 4 LESSON 2 EQUIVALENT FRACTIONS. MULTIPLE The product of a whole number multiplied times any...

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UNIT 4 LESSON 2 EQUIVALENT FRACTIONS

Transcript of UNIT 4 LESSON 2 EQUIVALENT FRACTIONS. MULTIPLE The product of a whole number multiplied times any...

Page 1: 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,

UNIT 4 LESSON 2 EQUIVALENT FRACTIONS

Page 2: 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,

MULTIPLE

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

Some multiples of 6 6, 12, 18, 24, 30, 36, 42

Page 3: 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,

NAME SOME MULTIPLES OF 5

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

Page 4: 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,

NAME SOME MULTIPLES OF 7

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

Page 5: 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,

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

Page 6: 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,

WHAT ARE SOME COMMON MULTIPLES FOR 2 & 8?

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

Page 7: 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,

WHAT ARE SOME COMMON MULTIPLES FOR 5 & 10?

10, 20, 30, 40, 50, 60

Page 8: 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,

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

Page 9: 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,

WHAT IS THE LEAST COMMON MULTIPLE OF 3 & 8

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

Page 10: 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,

WHAT IS THE LEAST COMMON MULTIPLE OF 4 & 8

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

Page 11: 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,

PRACTICE FIND LCM FOR THE FOLLOWING• 2

• 5

Page 12: 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,

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

Page 13: 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,

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+

Page 14: 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,

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+

Page 15: 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,

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+

Page 16: 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,

FIND THE LEAST COMMON DENOMINATOR OR LEAST COMMON MULTIPLE

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

Page 17: 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,

FIND THE LEAST COMMON DENOMINATOR OR LCD

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

Page 18: 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,

FIND THE LEAST COMMON DENOMINATOR

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

Page 19: 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,

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

Page 20: 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,

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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Page 21: 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,

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.

Page 22: 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,

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

Page 23: 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,

Which is greater?

715

920

LCM 60

60

6028 27

>

7 9 is greater than 15 20

44 3

3

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Page 24: 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,

Use < or > to compare the fractions below.

4 5 5 735

35

28 25> 7

7 5

5

copyright©amberpasillas2010

Page 25: 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,

Use < or > to compare the fractions below.

5 9 8 1616

1610 9 2

2 1

1

Page 26: 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,

Use < or > to compare the fractions below.

5 4 12 936

36

15 16 33 4

4

Page 27: 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,

Use < or > to compare the fractions below.

5 4 12 936

36

15 16 33 4

4

Page 28: 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,
Page 29: 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,

PRACTICE PROBLEMS

• Pages 130 and 131 # 7 through #35