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Adding FractionsAdding Fractions
Arrrr ya ready?!?!
Adding Adding LikeLike DenominatorsDenominators
1/434
1/4
1/414
44
1/4
+ =
Only add the numeratorsOnly add the numerators
= 1
Add these fractionsAdd these fractions
1/5
1/51/5
1/5
35
15
+ =45
Add these fractionsAdd these fractions
1/4
1/4
1/424
14
+ =34
Add these fractionsAdd these fractions
56
26
36
+ =
16
16
16
16
16
Add these fractionsAdd these fractions
46
26
26
+ =
16
16
16
16
=22
23
÷
ALWAYS SIMPLIFY YOUR ANSWER!
Add these fractionsAdd these fractions
312
512
+ = 812
=44
23
÷
SIMPLIFY!!!
Add these fractionsAdd these fractions
310
110
+ = 410
=22
25
÷
WOO WOO!!!!!
**Find a common **Find a common denominator**denominator**
1319+
Check to see if the smaller denominator divides evenly into the larger denominator.If it does, use the larger denominator.
3 will divide evenly into 9, so 9 is your common denominator.
Adding Adding UnlikeUnlike Denominators Denominators
For example:
To Add Fractions With To Add Fractions With Unlike DenominatorsUnlike Denominators
Rewrite the fractions using a Rewrite the fractions using a common denominator.common denominator.
151
10 +
10
10
To Add Fractions With To Add Fractions With Unlike DenominatorsUnlike Denominators
Find the equivalent fractions Find the equivalent fractions with 10 as the denominator.with 10 as the denominator.
151
10 +
10
10
To find the topnumber, ask yourselfwhat do you multiplythe 5 by to get 10?
To Add Fractions With To Add Fractions With Unlike DenominatorsUnlike Denominators
Find the equivalent fractions Find the equivalent fractions with 10 as the denominator.with 10 as the denominator.
151
10 +
10
10
Whatever you multiply the
denominator by, you must also multiply by the
numerator!
x 2 =x 2 =
To Add Fractions With To Add Fractions With Unlike DenominatorsUnlike Denominators
Find the equivalent fractions Find the equivalent fractions with 10 as the denominator.with 10 as the denominator.
151
10 +
10
10
To find the top number
just multiply 2 x 1 toget your equivalent
fraction.
x 2 =x 2 = 2
To Add Fractions With To Add Fractions With Unlike DenominatorsUnlike Denominators
Find the equivalent fractions Find the equivalent fractions with 10 as the denominator.with 10 as the denominator.
151
10 +
10
10
What do you multiply the 10 by to get 10??1
x 1=x 1 =x 2 =x 2 = 2
To Add Fractions With To Add Fractions With Unlike DenominatorsUnlike Denominators
Now just add the Now just add the numerators.numerators.1
51
10 +
10
10
Remember when
adding fractions you
never add the denominators.
1x 2 =x 2 = 2
103
x 1 =x 1 =
Add these FractionsAdd these Fractions
1218+
Use the shortcut to find a
commondenominator.
8
8
Add these FractionsAdd these Fractions
1218+
Now find equivalentfractions.
8
8x 1 =
x 4 =
What do you multiply 2 by to get 8?
What do you multiply 8 by to get 8?
Add these FractionsAdd these Fractions
1218+
Since you arewriting equivalent
fractions, nowmultiply the
numerators by thesame number you
did in the denominators.
8
8x 1 =
x 4 =x 1 =
x 4 =
Add these FractionsAdd these Fractions
1218+
Now multiplyacross.
8
8x 1 =
x 4 =x 1 =
x 4 =
1
4
Add these FractionsAdd these Fractions
1218+
Add yournew
numerators.
8
8x 1 =
x 4 =x 1 =
x 4 =
1
4
58
Arrrrgg matey! These young’ins think they arrr
smarrrt. Let’s see if they can handle this one….arrgg!!
Add these FractionsAdd these Fractions
2513+
Find a common denominator
by finding the LCM of 5 and 3.
15
15
Add these FractionsAdd these Fractions
2513+
Ask yourselfwhat you
multiply thedenominatorby to get 15.
15
15x 5 =
x 3 =
Add these FractionsAdd these Fractions
2513+
Multiply thenumerator
by the samenumber you
did in thebottom.
15
15x 5 =
x 3 =x 5 =
x 3 =
Add these FractionsAdd these Fractions
2513+
Multiplyacross.
15
15x 5 =
x 3 =x 5 =
x 3 =
5
6
Add these FractionsAdd these Fractions
2513+
Now addyour new
numerators.15
15x 5 =
x 3 =x 5 =
x 3 =
5
6
1115
DRATS!!!! These young’ins are
smarty pants. We are really gonna have to stump ‘em now……
Add these FractionsAdd these Fractions
1614+
12
12x 3 =
x 2 =x 3 =
x 2 =
3
2
512
ARGG!!!! How did you get so smart?? You
must have one awesome
teacher….
Add these FractionsAdd these Fractions
2319+
9
9x 1 =
x 3 =x 1 =
x 3 =
1
6
79
AYE! That was an easy
one!!!! Here’s a tough one
fer ya…..
Add these FractionsAdd these Fractions
5638+
24
24x 3 =
x 4 =x 3 =
x 4 =
9
20
2924
Simplify Your AnswerSimplify Your Answer
2924 24) 29
1
524
524
Ahoy! Did that one get
ya?? Try one
more………
Add these FractionsAdd these Fractions
4523+
15
15x 5 =
x 3 =x 5 =
x 3 =
10
12
2215
Simplify Your AnswerSimplify Your Answer
2215 15) 22
1
157
715
Aye, you kiddos are too smart fer me. Good
luck on yer assignment… WS C-39!!