Post on 17-Dec-2015
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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
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Name the first six multiples of 5
5, 10, 15, 20, 25, 30
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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
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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
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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.
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What is the LCM of 6 & 8?
8 = 8, 16, 24, 32, 40, 48 6 = 6, 12, 18, 24, 30, 36
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What is the LCM of 3 & 9?
9 = 9, 18, 27, 36, 45, 54 3 = 3, 6, 9, 12, 15, 21,
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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…
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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…
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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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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
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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.
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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
><=
5 4 5 is greater
than 4
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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
><=
5 4
If this method confuses you…try this!
4
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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
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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
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Use < or > to compare the fractions below.
5 4 12 936
36
15 16< 33 4
4
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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
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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
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THE END!Take out your study guide.
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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.
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< 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