Fraction XI Adding Mixed Numbers With Unlike Denominators By Monica Yuskaitis.
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Fraction XIFraction XIAdding Mixed Numbers Adding Mixed Numbers
With Unlike With Unlike DenominatorsDenominatorsBy Monica YuskaitisBy Monica Yuskaitis
Common MultipleCommon Multiple
A number that is a A number that is a multiple of two or more multiple of two or more numbers.numbers.
Some multiples of 3 & 4
12, 24, 36, 48,
Least Common MultipleLeast Common Multiple
The smallest common The smallest common multiple of a set of two or multiple of a set of two or more numbers.more numbers.
5 = 5, 10, 15, 20, 25, 30 4 = 4, 8, 12, 16, 20, 24, 28
Mixed NumbersMixed Numbers
Mixed numbers are whole Mixed numbers are whole numbers and fractions numbers and fractions together.together.
123
Shortcut for Finding the Least Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon Multiple
1218+
Check to see if the smaller denominator divides evenly into the larger denominator.If it does, use the larger denominator for your LCD or LCM.
2 will divide evenly into 8, so 8 is your LCD or LCM.
3
1
To Add Fractions Mixed To Add Fractions Mixed Numbers With Unlike Numbers With Unlike
DenominatorsDenominators Find the multiples of Find the multiples of
each denominator.each denominator.
1= 4, 8, 12, 16, 20, 30
1= 10, 20, 30, 40, 50+
4
10
3
1
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
Compare the lists of multiples. Compare the lists of multiples. Circle the common multiples Circle the common multiples between the two lists.between the two lists.
1= 4, 8, 12, 16, 20, 24
1= 10, 20, 30, 40, 50+ 10
3
14
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1= 4, 8, 12, 16, 20, 24
1= 10, 20, 30, 40, 50+ 10
3
14
Use the least commonUse the least common
multiple as the multiple as the denominator.denominator.
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1= 4, 8, 12, 16, 20, 24
1= 10, 20, 30, 40, 50+ 10
3
14
This number is also calledThis number is also called
the least common the least common denominator.denominator.
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1
1+ 10
3
14 20
20
Find the equivalent fractions for Find the equivalent fractions for 1/4 & 1/10 with 20 as the 1/4 & 1/10 with 20 as the denominator.denominator.
Ask yourself whatyou multiply 4 by
to get 20.x 5 =
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1
1+ 10
3
14 20
20
Find the equivalent fractions for Find the equivalent fractions for 1/4 & 1/10 with 20 as the 1/4 & 1/10 with 20 as the denominator.denominator.
x 5 =
That’s right 5. Sinceyou are looking for
the equivalent fractionyou know the top
number must also bemultiplied by 5.
x 5 =
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1
1+ 10
3
14 20
20
Find the equivalent fractions for Find the equivalent fractions for 1/4 & 1/10 with 20 as the 1/4 & 1/10 with 20 as the denominator.denominator.
x 5 =x 5 = To find the top number
just multiply 1 x 5 toget your equivalent
fraction.
5
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1
1+ 10
3
14 20
20
Find the equivalent fractions for Find the equivalent fractions for 1/4 & 1/10 with 20 as the 1/4 & 1/10 with 20 as the denominator.denominator.
x 5 =x 5 = Now ask what you
multiply the 10 byto get 20.
5
x 2 =
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1
1+ 10
3
14 20
20
Find the equivalent fractions for Find the equivalent fractions for 1/4 & 1/10 with 20 as the 1/4 & 1/10 with 20 as the denominator.denominator.
x 5 =x 5 = 5
x 2 =
That’s right 2. Since you are looking for the equivalent fraction you know the top number must also be multiplied by 2.
x 2 = 2
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1
1+ 10
3
1
4 20
20
Now just add the Now just add the numerators.numerators.
x 5 =x 5 = 5
x 2 =Remember! We never add the denominators.
x 2 = 2
720
To Add Mixed Fractions To Add Mixed Fractions With Unlike DenominatorsWith Unlike Denominators
1
1+ 10
3
1
4 20
20
Now add the whole Now add the whole numbers.numbers.
x 5 =x 5 = 5
x 2 =x 2 = 2
7204
Add These Mixed NumbersAdd These Mixed Numbers
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Use the shortcut to find the
Least CommonDenominator
(LCD).
6
6
10
3
Add These Mixed NumbersAdd These Mixed Numbers
1316+
Now find theequivalent
fractions for1/3 & 1/6.
6
6x 1 =
x 2 =
Ask what do you multiply 3 by to get 6and what do you multiply 6 by to get 6.
10
3
Add These Mixed NumbersAdd These Mixed Numbers
1316+
Since you arewriting equivalent
fractions, nowmultiply the topnumbers by the
same number you did in the bottom.
6
6x 1 =
x 2 =x 1 =
x 2 =10
3
Add These Mixed NumbersAdd These Mixed Numbers
1316+
Now multiplyacross.
6
6x 1 =
x 2 =x 1 =
x 2 =
1
210
3
Add These Mixed NumbersAdd These Mixed Numbers
1316+
Add yournew
numerators.
6
6x 1 =
x 2 =x 1 =
x 2 =
1
2
36
3
10
Add These Mixed NumbersAdd These Mixed Numbers
1316+
Add yourwhole
numbers.
6
6x 1 =
x 2 =x 1 =
x 2 =
1
2
36
3
10
13
Simplify Your AnswerSimplify Your Answer
36
13 33 = 13 1
2÷÷
Add These Mixed NumbersAdd These Mixed Numbers
4513+
Find the common
multiples for5 and 3. Write
this numberas your newdenominator.
15
15
11
2
Add These Mixed NumbersAdd These Mixed Numbers
4513+
Ask yourselfwhat you
multiply thebottom number
by to get 15.
15
15x 5 =
x 3 =11
2
Add These Mixed NumbersAdd These Mixed Numbers
4513+
Multiply thetop numberby the samenumber you
did in thebottom.
15
15x 5 =
x 3 =x 5 =
x 3 =
2
11
Add These Mixed NumbersAdd These Mixed Numbers
4513+
Multiplyacross.
15
15x 5 =
x 3 =x 5 =
x 3 =
5
1211
2
Add These Mixed NumbersAdd These Mixed Numbers
4513+
Now addyour new
numerators.15
15x 5 =
x 3 =x 5 =
x 3 =
5
12
1715
11
2
Change Your Improper Change Your Improper FractionFraction
to a Mixed Numberto a Mixed Number
4513+
15
15x 5 =
x 3 =x 5 =
x 3 =
5
12
1715
11
215)17
1
152
215
Add Your 1 to Your Whole Add Your 1 to Your Whole NumbersNumbers
4513+
15
15x 5 =
x 3 =x 5 =
x 3 =
5
12
1715
11
215)17
1
152
215
1
14
Put Your Remainder FractionPut Your Remainder FractionNext to Your AnswerNext to Your Answer
4513+
15
15x 5 =
x 3 =x 5 =
x 3 =
5
12
1715
11
215)17
1
152
215
1
14 215
Your Final Answer Is 14 2/15Your Final Answer Is 14 2/15
4513+
15
15x 5 =
x 3 =x 5 =
x 3 =
5
12
1715
11
215)17
1
152
215
1
14 215
Add These Mixed NumbersAdd These Mixed Numbers
5658+
24
24x 3 =
x 4 =x 3 =
x 4 =
15
20
3524
24
324)35
1
11
1124
24
1
28 1124
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