Steps
Adding Fractions with Unlike Denominators
Subtracting Fractions with Unlike Denominators
Adding and Subtracting Mixed Numbers with Unlike Denominators
Vocabulary
100

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

Write out the multiples of the denominators

100

  1         1

____ + ____ =

 2          4


3

__

4


100


  1         1

____ - ___ =

  2         4


 1

___

  4

100

     3          2

  ____ +  ___ =

      4          3

17

____

  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?

Circle the number that is the least between the two.

200


 1          2

____ + ___ =

 6           3



5

___

6


200


  2          1

____ - ___ =

  3         6


  3

_____

    6

200

 1         5

   ____ +  ___ =

      4         12

8

______

   12

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?

Set up the new equation with the new denominator.

300


  1         3

____ + ___ =

  5         10


 5

____

  10

300


  1         1

____ - ___ =

  5         10


1

_____

   10

300

  2          4

____ +   ___ =

    4           16

12

____

  16

300

What does equivalent mean?

Equal 

400

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

Find the numerators; multiply by the same number as the denominator

400


  6          2

____ + ___ =

  12         6


 2

_____

  12

400


  2         2

____ - ___ =

  4         8



  2

___

  8


400

   3          4

  ____ -   ___ =

      5          15

5

____

  15

400

What does simplify mean?

To make the fraction smaller; to put in its smallest form

500

What is the fifth step with adding or subtracting fractions with unlike denominators?

Solve! Add the numerators and keep the denominators the same.

500

 2         7

____ + ___ =

 7          14

 11

_____

   14

500


  4         1

____ - ___ =

  6         12


 7

___

 12

500

 2          2

   ____ -    ___ =

      7          21

 4

_____

   21

500

What is a common denominator?

When the bottom number of the fraction is the same for both fractions.