What is the first step when solving adding and subtracting fractions?
See if the denominators are the same.
2 1
____ + ____ =
3 3
1 whole
2
____ =
6
1/3
3 2
____ + ___ =
4 4
5
____. or. 1 1/4
4
2 4
1 ____ - ___ =
5 5
3
____
5
What is a improper fraction?
It is a fraction where the numerator is larger than the denominator (ex. 12/5)
8 2
____ + ___ =
9 9
10
___. or 1 1/9
9
4
____ = ___
8
2/4 or 1/2
1 5
2 ____ + ___ =
7 7
2 6/7
4 7
5 ____ - 3 ___ =
8 8
5
1 ____
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.
4 3
____ + ___ =
12 12
7
____
12
7
____ = ___
21
1/3
1 4
3 ____ + ___ =
5 5
4
1 3
25 ____ - 11 ___ =
4 4
2 1
13 ____ or 13 ___
4 2
What is the final step when adding and subtracting fractions?
See if you can reduce the fraction (simplify) (ex. 2/4 to 1/2)
_20__ + 10___ =
10 10
30
_____. or 3
10
5
____ = ___
25
1/5
4 2
3 ____ - ___ =
6 6
3 2/6
12 14
7 ____ - 2 ___ =
15 15
13
4 ____
15
How do you check your answers for adding and subtracting fractions?
Use a different strategy.
Number line
Model
Number Sentence
7 8
____ + ___ =
4 4
15
_____ or 3 3/4
4
8/32
1/4
6 2
4 ____ - 3 ___ =
6 6
1 4/6
67 92
14 ____ - 10 ___ =
100 100
75 15
3 ____ or 3 ___
100 20