Steps
Adding Fractions w/ unlike denominators
Subtracting fractions w/ unlike denominators
Adding and subtracting mixed numbers w/ unlike denominators
Vocabulary
100

What is the first step when solving adding and subtracting fractions with unlike denominators?

Circle the denominators and then skip count to find the LCM.

100


  2         1

____ + ____ =

  3          4


11

___

12

100

  1         1

____ - ___ =

  3        4

                                             

  1

___

 12

100

      3          2

2  ____ +  ___ =

      4          3

  41

____.       or.   3  5/12 

  12

100

What is a denominator?

The number below the line in a fraction.

200

What is the second step when adding and subtracting fractions with unlike denominators?

Create equivalent fractions with like denominators.

200

  3         2

____ + ___ =

  4         3

17

___.      or     1  5/12

12

200

  2          1

____ - ___ =

  3         5

                                              

  7

____

  15

200

      1         5

2  ____ +  ___ =

      4         6

   74

______.    or   4 2/24.  or.  4  1/12

   24

200

What is a numerator?

The number above the line in a fraction.

300

What is the third step when adding and subtracting fractions with unlike denominators?

Add fractions with like denominators.

300

  4         3

____ + ___ =

  5         4

  31

____.       1 11/20

  20

300

  1         1

____ - ___ =

  2         5

                                             

  3

___

 10

300

       1          4

3  ____ +   ___ =

      4           5

  81

____.   or   4 1/20

  20

300

What does equivalent mean?

Equal in value or the same in value.

400

What is the fourth step when adding and subtracting fractions with unlike denominators?

Simplify the fraction (If Needed).

400

  3        5

____ + ___ =

  4        12

  14

_____.      or    1 2/12.     or     1  1/6

  12

400

  4         2

____ - ___ =

  5         3

  2

___

15

400

      1          4

3  ____ -   ___ =

      5          6

  76

____.   or   2 16/30. or 2 8/15 

  30

400

What does simplify mean?

To reduce a fraction to it's simplest form.

500

 2          1

____ + ___ =

 5          3

    8

_____

   15

500

  5         1

____ - ___ =

  7         3

  8

___

 21

500

      2            2

4  ____ -  3  ___ =

      6            3

4/6   or   2/3 

500

What is a common denominator?

When your denominators are the same value.