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Compare Fractions
By Enaam Alotaibi
1
Grade 4 Math
How to Compare
Fractions?
2
Grade 4 Math
3
4
5
Numerator
Denominator
What is Numerator and Denominator ?
Grade 4 Math
To compare Fractions, you
should use these symbols:
<
Less than
>
Greater than
=
Between two
4
Grade 4 Math
 If the Numerator is
the same: we will
Compare Denominator.
1
4
1
8
<
 If the Denominator is
the same: we will
Compare Numerator
3
10
8
10
>
5
Grade 4 Math
Exercise:
𝟑
𝟖
𝟓
𝟖
𝟑
𝟒
𝟑
𝟓
<
>
6
Grade 4 Math
 If both Numerator and Denominator are not the same:
We can used different methods
Method 1
Benchmark
Method 2
Area model
Method 3
Number
line
Method 4
Butterfly
7
Grade 4 Math
Method 1
Benchmark
Method 2
Area model
Method 3
Number
line
Method 4
Butterfly
8
Grade 4 Math
What is
Benchmarks?
9
Grade 4 Math
Benchmarks:
10
• To compare two fractions , we can compare both
with third fraction called “benchmark fraction”.
• Example of benchmark fraction:
1
4
,
1
3
,
1
2
,
2
3
,
3
4
Grade 4 Math
Example:
11
Merry needs
3
8
stick of butter to make cupcake and
2
3
stick of butter to
make cookies. Which one needs more butter?
𝟑
𝟖
<
1
2
𝟐
𝟑
>
1
2
So
𝟑
𝟖
<
2
3
𝟑
𝟖
𝟐
𝟑
Cookies need more butter
Grade 4 Math
Method 1
Benchmark
Method 2
Area model
Method 3
Number
line
Method 4
Butterfly
12
Grade 4 Math
13
Example:
Compare between :
1
4
,
3
4
and use benchmark
1
2
1
4
1
2
3
4
Grade 4 Math
𝟏
𝟒
𝟏
𝟐
𝟑
𝟒
𝟏
𝟐
𝟏
𝟒
𝟑
𝟒
< >
<
14
Grade 4 Math
Exercise 1
4
3
6
5
<
4
3
6
5
15
Grade 4 Math
Exercise 2
4
3
2
1
4
3
2
1
>
16
Grade 4 Math
Method 1
Benchmark
Method 2
Area model
Method 3
Number
line
Method 4
Butterfly
17
Grade 4 Math
The Numbers are read as whole
numbers.
The marks in between are read as
fractions.
0 1
18
𝟏
𝟒
𝟐
𝟒
𝟑
𝟒
Grade 4 Math
How to reading fractions on a number line?
2-Count the spaces in between the zero and the one on the number
line. That is your denominator.
0 1
4
19
1-Count the sticks, starting at the first stick after zero. Stop at the point
you are naming. This is the Numerator.
3
Grade 4 Math
0
1
20
Example:
Compare between fractions:
2
3
,
7
8
0
1
𝟐
𝟑
𝟕
𝟖
𝟕
𝟖
𝟐
𝟑>Grade 4 Math
Method 1
Benchmark
Method 2
Area model
Method 3
Number
line
Method 4
Butterfly
21
Grade 4 Math
Example:
5
3
3
2
9 10<
<
22
Grade 4 Math
Exercise:
10
3
4
1
12 10>
>
23
Grade 4 Math
Thank you

24
Grade 4 Math

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Compare fractions - Grade 4