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