RN Adding Mixed Fractions
The least common denominator for this problem is

To add mixed fractions, the first step is to find the

common denominator and make new equivalent

fractions.  To find the common denominator, list

the multiples of the denominators until you find a

common one.

3:  3, 6, 9, 12, 15....

4:  4, 8, 12, 16, 20...

+

5

4
3

2

3

4

After this you make new equivalent fractions with the

common denominator.

+

5

4
3

2

3

4

x 4 
x 4 
x 3 
x 3 

=

=

5

4

12

12

8

The next step is to add the numerators and the whole

numbers.  REMEMBER:  we NEVER add (or subtract) the

denominators.

=

=

9

5

4

12

12

12

9

8

One final step.  Make sure it is in simplest form (which

this one is in simplest form) AND there is not an

improper fraction with a whole number (this one has

one).  If there is an improper fraction, change to mixed.

9

5

4

17

12

12

12

9

8

=

9

9 + 1 makes the 10.

+

12

12

+

 5

12

This is one. 

=

10

12

The least common denominator for this problem is

To add mixed fractions, the first step is to find the

common denominator and make new equivalent

fractions.  To find the common denominator, list

the multiples of the denominators until you find a

common one.

2:  2, 4, 6, 8, 10, 12, 14...

7:  7, 14, 21, 28, 35...

+

3

2
6

1

2

7

After this you make new equivalent fractions with the

common denominator.

+

3

2
6

1

2

7

x 7
x 7
x 2
x 2

=

=

5

4

14

14

7

The next step is to add the numerators and the whole

numbers.  REMEMBER:  we NEVER add (or subtract) the

denominators.

=

=

5

3

2

14

14

14

12

7

Last step.  Check for simplest form (which this one

is) AND there is not an improper fraction with a whole 

number.  If so, change to mixed.

5

3

2

19

14

14

14

12

7

=

5

Improper with a whole number

+

14

14

+

 5

14

=

6

14

The least common denominator for this problem is

To add mixed fractions, the first step is to find the

common denominator and make new equivalent

fractions.  To find the common denominator, list

the multiples of the denominators until you find a

common one.

3:  3, 6, 9, 12, 15....

5:  5, 10, 15, 20...

+

6

2
4

2

3

5

After this you make new equivalent fractions with the

common denominator.

+

6

2
4

2

3

5

x 5
x 5
x 3 
x 3 

=

=

6

2

15

15

10

The next step is to add the numerators and the whole

numbers.  REMEMBER:  we NEVER add (or subtract) the

denominators.

=

=

8

6

2

15

15

15

12

10

Last step.  Check for simplest form (which this one

is) AND there is not an improper fraction with a whole 

number.  If so, change to mixed.

8

6

2

22

15

12

15

10

15

=

8

This equals one

+

15

15

+

 7

15

=

9

15

The least common denominator for this problem is

Find the least common denominator.

5:  5, 10, 15, 20...

4:  4, 8, 12, 16, 20...

+

2

5
3

4

5

4

Make new equivalent fractions with the

common denominator.

+

2

5
3

4

5

4

x 4 
x 4 
x 5
x 5

=

=

2

5

20

20

16

The next step is to add the numerators and the whole

numbers.  REMEMBER:  we NEVER add (or subtract) the

denominators.

=

=

7

2

5

20

20

20

15

16

Last step.  Check for simplest form (which this one

is) AND there is not an improper fraction with a whole 

number.  If so, change to mixed.

7

2

5

31

20

15

20

16

20

=

7

This equals one

+

20

20

+

11

20

=

8

20

The least common denominator for this problem is

Find the common denominator.

3:  3, 6, 9, 12, 15....

12:  12, 24, 36, 48....

+

6

3

12

7

2

3

Make new equivalent fractions with the

common denominator.

+

6

3

12

7

2

3
x 4 =
x 4 =

=

=

6

3

12

12

8

The next step is to add the numerators and the whole

numbers.  REMEMBER:  we NEVER add (or subtract) the

denominators.

=

=

9

6

3

12

12

12

7

8

Last step.  Check for simplest form (which this one

is NOT) AND there is not an improper fraction with a 

whole number.  If so, change to mixed.

9

6

3

12

15

12

12

7

8

=

9

This equals one

+

12

12

+

12

3

=

Simplify this one.

10

4

Now you try.

+

10

6

3

18

5

6

8

9

+

10

7

2

30

5

6

4

5

+

  8

6

1

10

 2

7

4

5

+

6

3

1

9

8

9

+

2

3

5

6

8

9

+

5

6

1

3

6

7

+

2

3

5

6

1

9

+

2

3

5

6

1

6

+

2

3

1

6

1

3

+

5

3

2

3

7

9

参加了这次测试的学生也参加了 :

创建 That Quiz — 在数学和其他学科的出题与测试更加便利。.