Grade 4 Math 1

Compare Fractions

By Enaam Alotaibi

Grade 4 Math 2

How to Compare Fractions?

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45

Numerator

Denominator

What is Numerator and Denominator ?

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To compare Fractions, you should use these symbols:

<Less than

>Greater

than

=Between

two

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If the Numerator is the same: we will

Compare Denominator.

<

If the Denominator is the same: we will Compare Numerator

>

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Exercise:

<>

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If both Numerator and Denominator are not the same: We can used different methods

Method 1 Benchmark

Method 2Area model

Method 3Number line

Method 4Butterfly

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Method 1 Benchmark

Method 2Area model

Method 3Number line

Method 4Butterfly

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What is Benchmarks?

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Benchmarks:

• To compare two fractions , we can compare both with third fraction called “benchmark fraction”.

• Example of benchmark fraction: , ,,

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Example: Merry needs stick of butter to make cupcake and stick of butter to make cookies. Which one needs more butter?

So

𝟑𝟖

𝟐𝟑

Benchmark

Cookies need more butter

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Method 1 Benchmark

Method 2Area model

Method 3Number line

Method 4Butterfly

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Example:Compare between : benchmark

14

12

34

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𝟏𝟒

𝟏𝟐

𝟑𝟒

𝟏𝟐

𝟏𝟒

𝟑𝟒

< >

<

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Exercise 1

43

65<

43

65

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Exercise 2

43

21

43

21>

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Method 1 Benchmark

Method 2Area model

Method 3Number line

Method 4Butterfly

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The Numbers are read as whole numbers.

The marks in between are read as fractions.

0 1

𝟏𝟒𝟐𝟒

𝟑𝟒

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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

1-Count the sticks, starting at the first stick after zero. Stop at the point you are naming. This is the Numerator.

3

0 1

20

Example: Compare between fractions:

0 1

𝟐𝟑

𝟕𝟖

𝟕𝟖

𝟐𝟑>

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Method 1 Benchmark

Method 2Area model

Method 3Number line

Method 4Butterfly

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Example:

53

32

9 10

<

<

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Exercise:

103

41

12

10

>

>

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Thank you