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The product of a whole number multiplied by The product of a whole number multiplied by any other whole number is called a any other whole number is called a multiple..

Name the first six multiples of 6

6, 12, 18, 24, 30, 36


Name the first six multiples of 5

5, 10, 15, 20, 25, 30


A Common Multiple is a numberthat is a multiple of two numbers.Here are common multiples for thenumbers 4 and 10

10 = 10, 20, 30, 40, 50, 4 = 4, 8, 12, 16, 20, 24


is the smallestnumber that a set of given numbers dividesevenly into.

LCM -Least Common Multiple

It is useful to know how to do this so you can find a common denominator when adding or subtracting fractions.

LCM is also known as finding the Least Common Denominator


To find the To find the LCM 4 and 12 4 and 12

2) Find the least multiple that both numbers have in common.

1) List the multiples of both numbers

4 = 4, 8, 12, 16, 20…12 = 12, 24, 36, 48…LCM is 12

This method is useful if both numbers are small.


What is the LCM of 6 & 8?

8 = 8, 16, 24, 32, 40, 48 6 = 6, 12, 18, 24, 30, 36


What is the LCM of 3 & 9?

9 = 9, 18, 27, 36, 45, 54 3 = 3, 6, 9, 12, 15, 21,


Make a List of Multiples

Find the LCM of 10 and 12.

LCM = 60

10 = 10, 20, 30, 40, 50, 60, 70, 80… 12 = 12, 24, 36, 48, 60, 72…


Make a List of Multiples

Find the LCM of 25 and 30.

LCM = 150

25 = 25, 50, 75, 100, 125, 150, 175… 30 = 30, 60, 90, 120, 150, 180…


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


Identity Property states that any number multiplied by one equals itself

2 2 4

3 2 6

This is useful to know so you can find a common denominator for adding and subtracting fractions.

1n n



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.




><=

5 4 5 is greater

than 4




><=

5 4

If this method confuses you…try this!

4


5If this method confuses you…try this!

4

>< reater thaness than

Left hand = Less than

Which is greater?

715

920

LCM 60

60

6028 27

>

7 9 is greater than 15 20

44 3

3


Use < or > to compare the fractions below.

4 5 5 735

35

28 25> 7

7 5

5



5 9 8 1616

1610 9> 2

2 1

1



5 4 12 936

36

15 16< 33 4

4


The GCF and LCM are used so regularly thatmost people find them mentally.

GCF = 1

LCM = 72

GCF = 5

LCM = 60

1) 8 9 2) 15 20


The GCF and LCM are used so regularly thatmost people find them mentally.

GCF = 4

LCM = 60

GCF = 4

LCM = 24

1) 12 20 2) 8 12


THE END!Take out your study guide.



TO FIND THE LCM OF 4 and 12:

2) Find the least multiple that both numbers have in common.

1) List the multiples of both numbers

4 = 4, 8, 12, 16, 20…12 = 12, 24, 36…

LCM is 12

#6

Least Common Multiple is also known as LCD.


< Less than> Greater than

Less than or equal to Greater than or equal to

Read these symbols from left to right.

****************************************************************

Comparing Fractions #7

To compare fractions you must show your work!

810

91260

60

48 45> 66 5

5

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Documents

common denominator slide

common multiples

equivalent fractions

larger number

equal sign

common denominators

list of multiples

smallest number