ORDERING FRACTIONS
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ORDERING FRACTIONS
Use <, > or = to compare each set of fractions
How do we order these fractions:
49
56
15
There are other ways to order fractions.
1.Using Fraction Sense Close to 0, ½ or 2
49
56
15
0 ½ 1
2. Visual Reasoning
49
56
15
east
ommon
ultiple
3. Renaming to Like Fractions
east
ommon
inominator
3. Renaming to Like Fractions
Find the LCM or LCD.
49
56
15
4090
7590
1890
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 PatternsOrder the fractions from Least to greatest.
23
29
27
25
, , , 29
27
25
23
, , ,
For fraction with the same numerators,
the bigger the denominator,
the smaller the value of that fraction.
4. Using Cross-ProductsDetermine the cross-product of the fraction.Compare the products.
49
56
The numerator that yields the bigger product is greater.
24 45
15
49
9 20
15
56
6 25
Order from greatest to least:
49
56
15
, ,
5. Mixed NumbersOrder 5 5/6, 5 ¾ , 5 7/8 from greatest to least.
Compare the whole number Find the LCD and change them to similar fractions.
5634
78
=
=
=
20241824
2124
The fraction that yields the greatest numerator is the greatest
55653
457
8
Order from greatest to least:
Exercises:
Order the fractions in descending order:
3 34
1. 3 58
3 12
6 34
6 23
7 1 10
1 26
1 36
1 46
2.
3.
4 27
4 37
4 57
4.
1 24
1 36
1 12
5.
What are the different ways of ordering fractions?
1)Using Fraction Sense2)Visual Reasoning3)Renaming to Like Fraction4)Using Patterns5)Using Cross-Products6)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:
25
13
48
1. , ,
8 14
5 25
7 12
, ,2.
8 18
2 18
6 18
,3.
4. 58
,
, ,34
23
5. 34
, ,23
59
=
=
=
=
=
48
25
13
, ,
5 25
7 12
8 14
, ,
2 18
6 18
8 18
, ,
58
23
34
, ,
59
23
34
, ,
Assignment:
Arrange the fraction in descending order.
4 12
49
4 10
1 2
15
1 10
4 3
34
7 10
4 5
34
7 10
5 6
78
13 6
1.
3.
2.
4.
5.
6.
7.
8.
9.
10.
3 12
2 34
3 34
12
2 78
3 15
2 78
2 35
2 23
3 5 12
58
5 11
56
23
7 12
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