Comparing and ordering whole numbers and decimals

Use <, > or = to compare each
set of fractions

How do we order these fractions:
4
9
5
6
1
5

There are other ways to order
fractions.
1. Using Fraction Sense
Close to 0, ½ or 2
4
9
5
6
1
5
0 ½ 1

2. Visual Reasoning
4
9
5
6
1
5

east
ommon
ultiple
3. Renaming to Like Fractions

east
ommon
inominator
3. Renaming to Like Fractions

Find the LCM or LCD.
4
9
5
6
1
5
40
90
75
90
18
90
5 =
9 =
6 =
5, 10, 15, 20, 25, 30, 35, 40, 45, 50,
55, 60, 65, 70, 75, 80, 85, 90
9, 18, 27, 36, 45, 54, 63, 72, 81, 90
6, 12, 18, 24, 30, 36, 42, 48, 54, 60,
66, 72, 78, 84, 90
Compare the numerators.

4. Using Patterns
Order the fractions from Least to greatest.
2
3
2
9
2
7
2
5
, , , 2
9
2
7
2
5
2
3
, , ,
For fraction with the same numerators,
the bigger the denominator,
the smaller the value of that fraction.

4. Using Cross-Products
Determine the cross-product of the fraction.
Compare the products.
4
9
5
6
The numerator that yields the bigger product
is greater.
24 45
1
5
4
9
9 20
1
5
5
6
6 25
Order from greatest to least:
4
9
5
6
1
5
, ,

5. Mixed Numbers
Order 5 5/6, 5 , 5 7/8 from greatest to least.¾
 Compare the whole number
 Find the LCD and change them to similar fractions.
5
6
3
4
7
8
=
=
=
20
24
18
24
21
24
The fraction that yields the
greatest numerator is the
greatest
55
6
53
4
57
8
Order from greatest to least:

Exercises:
Order the fractions in descending order:
3 3
4
1. 3 5
8
3 1
2
6 3
4
6 2
3
7 1
10
1 2
6
1 3
6
1 4
6
2.
3.
4 2
7
4 3
7
4 5
7
4.
1 2
4
1 3
6
1 1
2
5.

What are the different ways of
ordering fractions?
1)Using Fraction Sense
2)Visual Reasoning
3)Renaming to Like
Fraction
4)Using Patterns
5)Using Cross-Products
6)Mixed Number

What should be the basis in
ordering fraction in ascending
order?
From lowest to highest fractions

What should be the basis in
ordering fraction in descending
order?
From highest to lowest fractions

Read and Solve.
Perry helped his father do repair
work in the yard for 1 ¼ hours,
1 ½ hours in the house, and 1 1/6
hours in the garage. What activity
does Perry spend the most time?
least time?
Answer:
 Perry spend most time in the house.
 Perry spend least time in the garage.

Evaluation:
Arrange the fraction in ascending order:
2
5
1
3
4
8
1. , ,
8 1
4
5 2
5
7 1
2
, ,2.
8 1
8
2 1
8
6 1
8
,3.
4. 5
8
,
, ,3
4
2
3
5. 3
4
, ,2
3
5
9
=
=
=
=
=
4
8
2
5
1
3
, ,
5 2
5
7 1
2
8 1
4
, ,
2 1
8
6 1
8
8 1
8
, ,
5
8
2
3
3
4
, ,
5
9
2
3
3
4
, ,

Assignment:
Arrange the fraction in descending order.
4
12
4
9
4
10
1
2
1
5
1
10
4
3
3
4
7
10
4
5
3
4
7
10
5
6
7
8
13
6
1.
3.
2.
4.
5.
6.
7.
8.
9.
10.
3 1
2
2 3
4
3 3
4
1
2
2 7
8
3 1
5
2 7
8
2 3
5
2 2
3
3 5
12
5
8
5
11
5
6
2
3
7
12

Comparing and ordering whole numbers and decimals

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