Adding Fractions

1
Adding Fractions
Arrrr ya ready?!?!
2
Adding Like Denominators
Only add the numerators
1/4
1/4
3
1
4


4
4
4
1/4
1/4
1

3
Add these fractions
1/5
1/5
3
1
4

1/5

5
5
5
1/5
4
Add these fractions
1/4
1/4
2
1
3


4
4
4
1/4
5
Add these fractions
1
1
1
6
6
6
5
2
3


6
6
6
1
1
6
6
6
Add these fractions
1
1
1
1
6
6
6
6
4
2
2
2
2




6
6
6
2
3
ALWAYS SIMPLIFY YOUR ANSWER!
7
Add these fractions
8
4
2
3
5




4
3
12
12
12
SIMPLIFY!!!
8
Add these fractions
4
2
2
3
1




2
5
10
10
10
WOO WOO!!!!!
9
Find a common denominator
Adding Unlike Denominators
Check to see if the smaller denominator divides
evenly into the larger denominator. If it does,
use the larger denominator.
For example
1
3 will divide evenly into 9, so 9 is your common
denominator.
3
1

9
10
To Add Fractions With Unlike Denominators

• Rewrite the fractions using a common
  denominator.

1
5
10
1

10
10
11
To Add Fractions With Unlike Denominators

• Find the equivalent fractions with 10 as the
  denominator.

To find the top number, ask yourself what do you
multiply the 5 by to get 10?
1
5
10
1

10
10
12
To Add Fractions With Unlike Denominators

• Find the equivalent fractions with 10 as the
  denominator.

Whatever you multiply the denominator by, you
must also multiply by the numerator!
1
x 2
5
10
x 2
1

10
10
13
To Add Fractions With Unlike Denominators

• Find the equivalent fractions with 10 as the
  denominator.

To find the top number just multiply 2 x 1 to get
your equivalent fraction.
1
2
x 2
5
10
x 2
1

10
10
14
To Add Fractions With Unlike Denominators

• Find the equivalent fractions with 10 as the
  denominator.

1
2
What do you multiply the 10 by to get 10??
x 2
5
10
x 2
1
1
x 1

10
10
x 1
15
To Add Fractions With Unlike Denominators

• Now just add the numerators.

1
2
x 2
Remember when adding fractions you never add the
denominators.
5
10
x 2
x 1
1
1

10
10
x 1
3
10
16
Add these Fractions
Use the short cut to find a common denominator.
1
2
8
1

8
8
17
Add these Fractions
Now find equivalent fractions.
1
2
8
x 4
1

8
8
x 1
What do you multiply 2 by to get 8?
What do you multiply 8 by to get 8?
18
Add these Fractions
Since you are writing equivalent fractions,
now multiply the numerators by the same number
you did in the denominators.
1
x 4
2
8
x 4
1
x 1

8
8
x 1
19
Add these Fractions
1
Now multiply across.
4
x 4
2
8
x 4
1
1
x 1

8
8
x 1
20
Add these Fractions
1
Add your new numerators.
4
x 4
2
8
x 4
1
1
x 1

8
8
x 1
5
8
21
Arrrrgg matey! These youngins think they arrr
smarrrt. Lets see if they can handle this
one.arrgg!!
22
Add these Fractions
Find a common denominator by finding the LCM
of 5 and 3.
2
5
15
1

3
15
23
Add these Fractions
Ask yourself what you multiply the denominator by
to get 15.
2
5
15
x 3
1

3
15
x 5
24
Add these Fractions
Multiply the numerator by the same number you did
in the bottom.
2
x 3
5
15
x 3
1
x 5

3
15
x 5
25
Add these Fractions
Multiply across.
2
6
x 3
5
15
x 3
1
5
x 5

3
15
x 5
26
Add these Fractions
Now add your new numerators.
2
6
x 3
5
15
x 3
1
5
x 5

3
15
x 5
11
15
27
DRATS!!!! These youngins are smarty pants. We
are really gonna have to stump em now
28
Add these Fractions
1
2
x 2
6
12
x 2
1
3
x 3

4
12
x 3
5
12
29
ARGG!!!! How did you get so smart?? You must
have one awesome teacher. ?
30
Add these Fractions
2
6
x 3
3
9
x 3
1
1
x 1

9
9
x 1
7
9
31
AYE! That was an easy one!!!! Heres a tough one
fer ya..
32
Add these Fractions
5
20
x 4
6
24
x 4
3
9
x 3

8
24
x 3
29
24
33
Simplify Your Answer
5
1
24
29
24)
29
24
24
5
34
Ahoy! Did that one get ya?? Try one more
35
Add these Fractions
4
12
x 3
5
15
x 3
2
10
x 5

3
15
x 5
22
15
36
Simplify Your Answer
7
1
15
22
15)
22
15
15
7
37
Aye, you kiddos are too smart fer me. Good luck
on yer assignment WS C-39!!
but first.....
38
(No Transcript)
39
(No Transcript)
40
(No Transcript)
41
(No Transcript)