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4-7 Comparing and Ordering Fractions
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Warm UpFind the missing number that makes the fraction equivalent.
1. 2.
3. 4.
9 8
15
Course 1
4-7 Comparing and Ordering Fractions
35__
15=
34__
20=
23__ ___
12=
58__
24= 15
Course 1
4-7 Comparing and Ordering Fractions
Problem of the Day
From 4:00 to 5:30, Carlos, Lisa, and Toni took turns playing the same computer game. Carlos played for hour, and Lisa played for hour. For how many minutes did Toni play the game?
34
___
12
___
15 minutes
Course 1
4-7 Comparing and Ordering Fractions
Learn to use pictures and number lines to compare and order fractions.
Course 1
4-7 Comparing and Ordering Fractions
Vocabulary
like fractionsunlike fractionscommon denominator
Course 1
4-7 Comparing and Ordering Fractions
When you are comparing fractions, first check their denominators. When fractions have the same denominator, they are called like fractions. For
example, and are like fractions. When two fractions have different denominators, they are called unlike
fractions. For example, and are unlike fractions.
6
7___ 4
7___
7
10___ 1
2___
Course 1
4-7 Comparing and Ordering Fractions
Additional Example 1A: Comparing Fractions
Compare. Write <, >, or =.
67__ 4__
7
67
__ __74
>
From the model, > .67
__ __74
Course 1
4-7 Comparing and Ordering Fractions
Additional Example 1B: Comparing Fractions
Compare. Write <, >, or =.
19__ 5__
9
19
__ __95
<
From the model, < .19
__ __95
Course 1
4-7 Comparing and Ordering Fractions
Check It Out: Example 1A
Compare. Write <, >, or =.
46__ 5__
6
46
__ __65
<
From the model, < .46
__ __65
Course 1
4-7 Comparing and Ordering Fractions
Check It Out: Example 1B
Compare. Write <, >, or =.
39__ 2__
9
39
__ __92
>
From the model, > .39
__ __92
Course 1
4-7 Comparing and Ordering Fractions
To compare unlike fractions, first rename the fractions so they have the same denominator. This is called finding a common denominator.
Course 1
4-7 Comparing and Ordering Fractions
Additional Example 2: Cooking Application
23
__
34
__Compare and .23
__
34
__
Find a common denominator by multiplying the denominators.
3 • 4 = 12
Ray has cup of nuts. He needs cup to
make cookies. Does he have enough nuts for the recipe?
Course 1
4-7 Comparing and Ordering Fractions
Additional Example 2 Continued
Find equivalent fractions with 12 as the denominator.
23
__12__=
23______
• 4=
• 4 __128
34
__12__=
34______
• 3• 3 __
129
23
__ 34
____128
=
=
= __129
Course 1
4-7 Comparing and Ordering Fractions
Additional Example 2 Continued
Compare the like fractions.
__128 __
129 2
3__ 3
4__ < , so < .
Since cup is less than cup, he does not
have enough.
23
__ 34
__
Course 1
4-7 Comparing and Ordering Fractions
Check It Out: Example 2
13
__
14
__Compare and .13
__
14
__
Find a common denominator by multiplying the denominators.
3 • 4 = 12
Trevor has cup of soil. He needs cup to
fill a small planter. Does he have enough soil to fill the planter?
Course 1
4-7 Comparing and Ordering Fractions
Find equivalent fractions with 12 as the denominator.
13
__12__=
13______
• 4=
• 4 __124
14
__12__=
14______
• 3• 3 __
123
13
__ 14
____124
=
=
= __123
Check It Out: Example 2 Continued
Course 1
4-7 Comparing and Ordering Fractions
Compare the like fractions.
__124 __
123 1
3__ 1
4__
> , so > .
Since cup is more than cup, he does have
enough.
13
__ 14
__
Check It Out: Example 2 Continued
Course 1
4-7 Comparing and Ordering Fractions
Additional Example 3: Ordering Fractions
Order , , and from least to greatest.45__
4 5
_______
23__
2 3
_______ 1 3
_______
• 3• 3
• 5• 5
• 5• 510
15__12
15__= == 5
15__ Rename with like
denominators.
13__
13
__ 23
__The fractions in order from least to greatest are , , .4
5__
5 15
1 3
10 15
2 3
0 1
12 15
4 5
Course 1
4-7 Comparing and Ordering Fractions
Numbers increase in value as you move from left to right on a number line.
Remember!
Course 1
4-7 Comparing and Ordering Fractions
Check It Out: Example 3
Order , , and from least to greatest.47__
4 7
_______
34__
3 4
_______ 1 4
_______
• 4• 4
• 7• 7
• 7• 721
28__16
28__= == 7
28__ Rename with like
denominators.
14__
14
__ 47
__
The fractions in order from least to greatest
are , , .34
__
7 28
4 7
16 28
3 4
21 28
1 4
0 1
Lesson Quiz
Compare. Write <, >, or =.
1. 2.
3. You drilled three holes in a piece of wood. The
diameters of the holes are , , and
inches. Which hole is the largest?
Order the fractions from least to greatest.
4. 5.
=
Insert Lesson Title Here
Course 1
4-7 Comparing and Ordering Fractions
78
__,
__84 >5
8__
169__
18
__ 38
__ 316__
36
__
58
__ , 23
__
8 __,5 2
3__, 7
8__ 3
4 __ , 5
8__ , 5
6__
85 5
6____, 3
4__ ,
38
__