RN Simplifying Fractions

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

15

45

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

10

 5

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

15

5

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

20

24

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

18

6

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

30

60

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

40

30

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

3

9

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

6

9

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

18

12

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

2 but not 3 or 5

3 but not 2 or 5

5 but not 2 or 3

2, 3, & 5

•The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

•The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3)

•The divisibility rule for five is ends in 5 or zero.

20

15

This  fraction simplifies because both are

divisible by...

2  and 3 but not 5
3 and 5 but not 2

2 and 5 but not 3

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

35

20

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

18

12

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

30

20

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

20

15

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

28

14

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

27

18

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

36

27

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

75

25

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

15

12

=

 

The divisibility rule for five is ends in 5 or zero.

The divisibility rule for three is sum-of-the-digits

 divisible by three (ex. 45 is 4+5 = 15 so divisible by 3).

The divisibility rule for two is all even numbers (ending

in 0, 2, 4, 6, or 8) are divisible by 2.

Simplify.

45

27

=

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