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 adding and subtracting fractions with unlike denominators?

Find a common denominator

100


  2         1

____ + ____ =

  3          4


11

___

12

100

  1         1

____ - ___ =

  3        4

                                             

  1

___

 12

100

      3          2

2  ____ +  ___ =

      4          3

  41

____

  12


or 2 17/12  or 3 5/12

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 a common denominator.

200

  3         2

____ + ___ =

  4         3

17

___

12

200

  2          1

____ - ___ =

  3         5

                                              

  7

____

  15

200

      1         5

2  ____ +  ___ =

      4         6

   74

______

   24


or 2 26/24  or 3 2/24

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 or subtract fractions with common denominators.

300

  4         3

____ + ___ =

  5         4

  31

____

  20

300

  1         1

____ - ___ =

  2         5

                                             

  3

___

 10

300

       1          4

3  ____ +   ___ =

      4           5

  81

____

  20


or 3 21/20 or 4 1/20

300

What does equivalent mean?

Equal in value or the same in value.

400

How do you convert a mixed number into a fraction greater than 1? 

Multiply the denominator by the whole number then add the numerator. 

400

  6         5

____ + ___ =

  7         6

  71

_____

  42

400

  4         2

____ - ___ =

  5         3

  2

___

15

400

      4          1

3  ____ -   ___ =

      5          6

3 19/30


400

What does simplify mean?

To reduce a fraction to it's simplest form. 

To convert fraction greater than 1 into a mixed number

500

How do you borrow when subtracting mixed numbers when the first fraction is smaller than the second? 

You take one whole fraction from the whole number and add to the fraction part.

Ex: 7 1/3 would become 6 4/3

500

  5         7

____ + ___ =

 7          8

   89

_____

   56

500

  5         1

____ - ___ =

  7         3

  8

___

 21

500

      2            2

4  ____ -  3  ___ =

       3            6

 1 6/18

500

What is a common denominator?

When your denominators are the same value.