Adding and Subtracting Fractions w/ like Denominators

Fraction Questions

2

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.

5

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.

8

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.

11

What is the final step when adding and subtracting fractions?

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

15

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

2

  2         1

____ + ____ =

  3          3

1 whole

5

  8         2

____ + ___ =

  9        9

10

___.      or     1  1/9

9

8

  4         3

____ + ___ =

  12         12

  7

____

  12

11

          

_20__ + 10___ =

  10        10

 30

_____.      or    3

  10

15

 7        8

____ + ___ =

 4         4

    15

_____ or 3 3/4

  4

Reduce Fractions

2

  2         

____ =

  6       

                                             

  1/3

5

  4          

____ = ___ 

 8         

                                              

2/4 or 1/2

8

  7         

____ = ___ 

  21         

                                             

 1/3

11

  5         

____ = ___ 

  25         

1/5

15

           

 8/32 

          

 1/4

Adding and subtracting mixed numbers w/ like denominators

2

      3          2

  ____ +  ___ =

      4          4

 5

____.       or.   1 1/4 

  4

5

      1         5

2  ____ +  ___ =

      7         7

   

2 6/7 

      

8

       1          4

3  ____ +   ___ =

      5           5

  4

11

      4          2

3  ____ -   ___ =

      6         6

 3 2/6

15

      6            2

4  ____ -  3  ___ =

      6            6

1 4/6

Vocabulary

2

What is a denominator?

The number below the line in a fraction.

Represents the total.

5

What is a numerator?

The number above the line in a fraction.

Represents how many pieces of the whole.

8

What does equivalent mean?

Equal in value or the same in value.

11

Do you subtract denominators?

NO!

15

What is a common (Like) denominator?

When your denominators are the same value.