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This ppt explains, how to compare fractions and order them by using examples. A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

1.
Comparing and

Ordering Fractions

and Mixed

Topic 9-5

Pgs. 230-231

Ordering Fractions

and Mixed

Topic 9-5

Pgs. 230-231

2.
How can you compare

Problem: Shawna and Tom walked

two different paths in Trout park.

Shawna walked 5/6 mile. Tom

walked ¾ mile. Which is greater,

5/6 or ¾?

Problem: Shawna and Tom walked

two different paths in Trout park.

Shawna walked 5/6 mile. Tom

walked ¾ mile. Which is greater,

5/6 or ¾?

3.
Which is greater 5/6 or ¾?

One Way Multiply your

fractions by the

To compare fractions,

number it takes to

find a common get 12 as a

denominator by denominator

writing the multiples 5 x 2 = 10

of each denominator 6 2 12

4: 4, 8, 12, 16, 20… 3 x 3 = 9

6: 6, 12, 16, 18, 24… 4 3 12

Use 12 as the common 10/12 > 9/12 so,

denominator 5/6 > 3/4

One Way Multiply your

fractions by the

To compare fractions,

number it takes to

find a common get 12 as a

denominator by denominator

writing the multiples 5 x 2 = 10

of each denominator 6 2 12

4: 4, 8, 12, 16, 20… 3 x 3 = 9

6: 6, 12, 16, 18, 24… 4 3 12

Use 12 as the common 10/12 > 9/12 so,

denominator 5/6 > 3/4

4.
Which is greater 5/6 or ¾?

Another Way: Multiply your fractions

You can multiply the by the number it

takes to get 24 as

denominators to the denominator

find a common

5 x 4 = 20

denominator.

6 4 24

Compare ¾ and 5/6

3 x 6 = 18

Multiply denominators:

4 x 6 24

4 x 6= 24 20/24 > 18/24 so

Use 24 as the common 5/6 > 3/4

denominator

Another Way: Multiply your fractions

You can multiply the by the number it

takes to get 24 as

denominators to the denominator

find a common

5 x 4 = 20

denominator.

6 4 24

Compare ¾ and 5/6

3 x 6 = 18

Multiply denominators:

4 x 6 24

4 x 6= 24 20/24 > 18/24 so

Use 24 as the common 5/6 > 3/4

denominator

5.
How can you order

fractions and mixed

Write 2 5/12, 11/12, 3 1/6, 2 1/3 in order from least to

greatest

You know that 11/12 < 1 and all the mixed numbers are

greater than 1. So 11/12 is the least number

When comparing mixed numbers, look at the whole number

parts. Since 3>2, you know that 3 1/6 is greater than both 2

1/3 and 2 5/12

Next, compare 2 1/3 and 2 5/12. Since the whole numbers

are the same, compare the fractions.

Compare 1/3 and 5/12. Change 1/3 to 4/12

4/12 < 5/12 so 2 1/3 < 2 5/12

From greatest to least, the numbers are 3 1/6, 2 5/12, 2 1/3,

11/12

fractions and mixed

Write 2 5/12, 11/12, 3 1/6, 2 1/3 in order from least to

greatest

You know that 11/12 < 1 and all the mixed numbers are

greater than 1. So 11/12 is the least number

When comparing mixed numbers, look at the whole number

parts. Since 3>2, you know that 3 1/6 is greater than both 2

1/3 and 2 5/12

Next, compare 2 1/3 and 2 5/12. Since the whole numbers

are the same, compare the fractions.

Compare 1/3 and 5/12. Change 1/3 to 4/12

4/12 < 5/12 so 2 1/3 < 2 5/12

From greatest to least, the numbers are 3 1/6, 2 5/12, 2 1/3,

11/12

6.
Let’s Try it Together

Compare the Order from least

following to greatest

fractions 1) 2 1 9

1. 3 4 3 , 4 , 10

5 5 Answer: ¼, 2/3, 9/10

<, >, or =? 2) 1 2 2 1 1 9

2. 1 2 3 10 4

Answers: 1 2/3, 1 9/10, 2 1/4

4 3

Compare the Order from least

following to greatest

fractions 1) 2 1 9

1. 3 4 3 , 4 , 10

5 5 Answer: ¼, 2/3, 9/10

<, >, or =? 2) 1 2 2 1 1 9

2. 1 2 3 10 4

Answers: 1 2/3, 1 9/10, 2 1/4

4 3

7.
Independent Practice #7-

Use your notes to determine the

correct answer for #7-12.

We will review the answers in 10

minutes

Good Luck!

Use your notes to determine the

correct answer for #7-12.

We will review the answers in 10

minutes

Good Luck!

8.
Common Factors

and Greatest

Common Factors

9-6

Pgs. 232- 233

and Greatest

Common Factors

9-6

Pgs. 232- 233

9.
Ifa number is a factor of two

numbers, it is called a common

factor

The greatest common factor (GCF)

of two numbers is the greatest

number that is a factor of both

numbers

numbers, it is called a common

factor

The greatest common factor (GCF)

of two numbers is the greatest

number that is a factor of both

numbers

10.
How can you find the

greatest common factor of

20 and 30?

Problem: A pet store has One Way:

goldfish and angelfish To find the greatest common

that have to be put into factor of 20 and 30, you

the fewest number of can list all the factors of

glass containers. Each each and circle the

container must contain numbers they have in

common

the same number of fish,

20: 1, 2, 4, 5, 10, 20

and each must contain all

goldfish or all angelfish. 30: 1, 2, 3, 5, 6, 10, 15, 30

Of all the numbers they have

Find the GCF of 20 and in the common what is the

30 largest number?

10 so the GCF of 20 and

30=10

greatest common factor of

20 and 30?

Problem: A pet store has One Way:

goldfish and angelfish To find the greatest common

that have to be put into factor of 20 and 30, you

the fewest number of can list all the factors of

glass containers. Each each and circle the

container must contain numbers they have in

common

the same number of fish,

20: 1, 2, 4, 5, 10, 20

and each must contain all

goldfish or all angelfish. 30: 1, 2, 3, 5, 6, 10, 15, 30

Of all the numbers they have

Find the GCF of 20 and in the common what is the

30 largest number?

10 so the GCF of 20 and

30=10

11.
How can you find the

greatest common factor of

20 and 30?

Another way is to use prime factorization to find the

GCF

Find GCF of 24 and 18 (pg. 232)

1. Find the prime factors of each number

2. List the prime factors of each number

24= 2 x 2 x 2 x 3

18= 2 x 3 x 3

3. Circle the prime factors that both numbers share which

are 2 and 3

4. Multiply the common factors: 2 x 3=6

So, the GCF of 18 and 24 is 6

greatest common factor of

20 and 30?

Another way is to use prime factorization to find the

GCF

Find GCF of 24 and 18 (pg. 232)

1. Find the prime factors of each number

2. List the prime factors of each number

24= 2 x 2 x 2 x 3

18= 2 x 3 x 3

3. Circle the prime factors that both numbers share which

are 2 and 3

4. Multiply the common factors: 2 x 3=6

So, the GCF of 18 and 24 is 6

12.
Let’s Try it Together!

Find the GCF of Answers:

each pair of

numbers

1. 3

1) 9 and 12 2. 5

2) 20 and 45 3. 7

3) 7 and 28 4. 2

4) 18 and 32

5) If two numbers are

prime, what is their

GCF?

Find the GCF of Answers:

each pair of

numbers

1. 3

1) 9 and 12 2. 5

2) 20 and 45 3. 7

3) 7 and 28 4. 2

4) 18 and 32

5) If two numbers are

prime, what is their

GCF?

13.
Independent Practice

Complete #7-14 and we will review

them as a class

Good Luck

Complete #7-14 and we will review

them as a class

Good Luck