Transcript Comparing and Ordering Fractions

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Objective
Compare and order fractions
Vocabulary
Least common denominator (LCD)
The least common multiple (LCM) of the
denominators
Example 1 Compare Fractions
Example 2 Order Fractions
Replace with < , > or = to make
true.
Write comparison using a circle
instead of the dot
8  21 =
0.381
Use calculator to convert each
fraction to a decimal
Convert
to a decimal
Enter numerator of 8
Enter division sign 
Enter denominator of 21
Enter equal sign =
1/2
Replace with < , > or = to make
Convert
3 
0.381
0.492
true.
to a decimal
Enter numerator of 3
7
=
Enter division sign 
Enter denominator of 7
Enter equal sign =
Compare decimals by lining up
the decimals vertically
1/2
Replace with < , > or = to make
<
3 
0.381
0.492
7
=
true.
Compare decimals beginning at
the decimal since there are no
whole numbers
The 3 is less than 4 so 0.381 is
less than 0.492
Place the comparison symbol in
the original problem
Circle answer!
1/2
Replace with < , > or = to make
Answer:
true.
<
1/2
Order the fractions
to greatest.
and
from least
Write the fractions
0.667
0.80
Convert
to a decimal
Numerator 2  denominator 3
Convert
to a decimal
Numerator 4  denominator 5
2/2
Order the fractions
to greatest.
0.667
and
Convert
from least
to a decimal
0.800
Numerator 8  denominator 15
0.533
Convert
0.600
to a decimal
Numerator 3  denominator 5
2/2
Order the fractions
to greatest.
and
from least
0.667
Compare decimals beginning at
the decimal since there are no
whole numbers
0.800
5 is the smallest number so
is the smallest fraction
0.533
6 is the next smallest number
and there are 2 decimals to
compare the next place value
0.600
2/2
Order the fractions
to greatest.
0.667
and
from least
The 0 is smaller than the 6 so
is the next fraction
Then
will be the next fraction
0.800
0.533
0.600
Only one fraction remains, so
is the largest fraction
Answer:
2/2
Order the fractions
to greatest.
and
from least
Answer:
2/2
Assignment
Lesson 5:5
Comparing and
Ordering Fractions
10 - 25 All
MULTIPLE-CHOICE TEST ITEM According to the
table, how is most land in the United States used?
A as arable land
Land Use in the
B as permanent pastures
C as forests and woodland
D B and C are equal
First, find the LCM of the
denominators
United States
arable
(cropland)
permanent
pastures
forests and
woodlands
other
Source: CIA World Fact Book
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First, find the LCM of the
denominators
2 100 2 4 2 10
2 50
2 50
2
5
5 25
5 25
5
5
Circle the greatest power of
each number and multiply
Land Use in the
United States
arable
(cropland)
permanent
pastures
forests and
woodlands
other
Source: CIA World Fact Book
2  2  5  5 = 100
Convert fractions to like denominators by proportions
3/3
Land Use in the
United States
arable
(cropland)
x
permanent
pastures
x
forests and
woodlands
x
other
Source: CIA World Fact Book
How is most land in the
United States used?
Determine the largest numerator of like fractions
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So,
is the greatest fraction.
A as arable land
B as permanent pastures
C as forests and woodland
D B and C are equal
Land Use in the
United States
arable
(cropland)
permanent
pastures
forests and
woodlands
other
Answer: C
Source: CIA World Fact Book
3/3
*
MULTIPLE-CHOICE TEST ITEM According to a
survey data, what did most people say should be
done with the length of the school year?
A lengthen the school year
B shorten the school year
C keep the length the same
D cannot tell from the data
Answer: A
How long should the
school year be?
lengthen the
school year
shorten the
school year
keep the length
the same
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