Adding and Subtracting Fractions w/ like Denominators

Fraction Questions

100

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

Draw a model or a number line to represent the fraction.

200

What are the 3 steps for turning an improper fraction to a mixed number?

1. Divide the numerator by the denominator.
2. Write down the whole number result.
3. Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

300

When adding and subtracting fractions, should we add and subtract the numerators and denominators?

No, if the denominators are the same, they remain the same.

400

What is the final step when adding and subtracting fractions?

If the fraction is improper turn it into a mixed number.

500

How do you check your answers for adding and subtracting fractions?

Use a different strategy.

Number line

Model

Number Sentence

Adding Fractions w/ like denominators

100

  2         1

____ + ____ =

  3          3

1 whole

200

  8         2

____ + ___ =

  9        9

10

___.      or     1  1/9

9

300

  4         3

____ + ___ =

  12         12

  7

____

  12

400

          

_20__ + 10___ =

  10        10

 30

_____.      or    3

  10

500

 7        8

____ + ___ =

 4         4

    15

_____ or 3 3/4

  4

Reduce Fractions

100

  2         

____ =

  6       

                                             

  1/3

200

  4          

____ = ___ 

 8         

                                              

2/4 or 1/2

300

  7         

____ = ___ 

  21         

                                             

 1/3

400

  5         

____ = ___ 

  25         

1/5

500

           

 8/32 

          

 1/4

Adding and subtracting mixed numbers w/ like denominators

100

      3          2

  ____ +  ___ =

      4          4

 5

____.       or.   1 1/4 

  4

200

      1         5

2  ____ +  ___ =

      7         7

   

2 6/7 

      

300

       1          4

3  ____ +   ___ =

      5           5

  4

400

      4          2

3  ____ -   ___ =

      6         6

 3 2/6

500

      6            2

4  ____ -  3  ___ =

      6            6

1 4/6

Vocabulary

100

What is a denominator?

The number below the line in a fraction.

Represents the total.

200

What is a numerator?

The number above the line in a fraction.

Represents how many pieces of the whole.

300

What does equivalent mean?

Equal in value or the same in value.

400

Do you subtract denominators?

NO!

500

What is a common (Like) denominator?

When your denominators are the same value.