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
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MULTIPLE
• The product of a whole number multiplied times any other whole number.
Some multiples of 6 6, 12, 18, 24, 30, 36, 42
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NAME SOME MULTIPLES OF 5
5, 10, 15, 20, 25, 30, 35
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NAME SOME MULTIPLES OF 7
7, 14, 21, 28, 35, 42, 49
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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
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WHAT ARE SOME COMMON MULTIPLES FOR 2 & 8?
8, 16, 24, 32, 40, 48, 56
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WHAT ARE SOME COMMON MULTIPLES FOR 5 & 10?
10, 20, 30, 40, 50, 60
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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
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WHAT IS THE LEAST COMMON MULTIPLE OF 3 & 8
8 = 8, 16, 24, 32, 40, 48 3 = 3, 6, 9, 12, 15, 21, 24
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WHAT IS THE LEAST COMMON MULTIPLE OF 4 & 8
8 = 8, 16, 24, 32, 40, 48 4 = 4, 8, 12, 16, 20, 24
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PRACTICE FIND LCM FOR THE FOLLOWING• 2
• 5
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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
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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+
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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+
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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+
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FIND THE LEAST COMMON DENOMINATOR OR LEAST COMMON MULTIPLE
12 = 2, 4, 6, 8, 10, 1218 = 8, 16, 24, 32, 40+
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FIND THE LEAST COMMON DENOMINATOR OR LCD
110 = 10, 20, 30, 40, 18 = 8, 16, 24, 32, 40+
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FIND THE LEAST COMMON DENOMINATOR
110 = 10, 20, 30, 40, 14 = 4, 8, 12, 16, 20, +
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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
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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.
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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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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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Use < or > to compare the fractions below.
5 4 12 936
36
15 16 33 4
4
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PRACTICE PROBLEMS
• Pages 130 and 131 # 7 through #35