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Parts of a FractionParts of a Fraction
34
= the number of parts
= the total number of parts that equal a whole
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Parts of a FractionParts of a Fraction
34
= numerator
= denominator
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A Common Multiple is a number that is a multiple of two or more numbers.
Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42
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The LCM is the smallest multiple that two numbers have in common.
6 = 6, 12, 18, 24, 30, 36 5 = 5, 10, 15, 20, 25, 30
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List the multiples of each denominator to find the LCM.
1= 5, 10, 15, 20, 25, 30
1= 10, 20, 30, 40, 50+
5
10
To Add or Subtract Fractions With To Add or Subtract Fractions With Unlike DenominatorsUnlike Denominators
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1= 5, 10, 15, 20, 25, 30
1= 10, 20, 30, 40, 50+
5
10
To Add or Subtract Fractions With To Add or Subtract Fractions With Unlike DenominatorsUnlike Denominators
Compare your lists. Which multiples do 5 and 10 have in common?
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1= 5, 10, 15, 20, 25, 30
1= 10, 20, 30, 40, 50+
5
10
To Add or Subtract Fractions With To Add or Subtract Fractions With Unlike DenominatorsUnlike Denominators
This number is also called the least common denominator.
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1
1+
5
10
SHORTCUT: 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.
5 will divide evenly into 10, so 10 is your denominator.
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Rewrite the fractions using the least common denominator or least common multiple.
151
10 +
10
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Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator.
151
10 +
10
10
You know that 1/10 is equal to 1/10 so
Put a 1 over theDenominator of 10.
1
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Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator.
151
10 +
10
101
To find the topnumber, ask yourselfwhat do you multiply
the 5 by to get 10.
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151
10 +
10
101
x 2 x 2 = 2
Now just add the numerators.
Remember whenadding fractions
you never add the denominators.
103
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Identity Property states that any number multiplied by one equals itself
2 2 43 2 6
This is useful to know so you can find a common denominator for adding and subtracting fractions.
1n n
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12-18+
Find a Least CommonDenominator
(LCD).
8
8
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12-18+
Now fill in your
Giant Ones.8
8x 1 =
x 4 =x 4 = 4
x 1 = -1
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12-18+
Add numerators.The denominator
stays the same.
8
8x 1 =
x 4 =x 4 = 4
x 1 = -1
38
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-2513+
What is a good denominator?
15
15
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-2513+
Ask yourselfwhat do youmultiply thedenominatorby to get 15.
15
15x 5 =
x 3 =
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-2513+
Fill in yourGiant Ones.
15
15x 5 =
x 3 =x 3 = -6
x 5 = 5
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-2513+
15
15x 5 =
x 3 =x 3 = -6
x 5 = 5Add the
numerators.The denominator
stays the same.-115
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-1614+
12
12x 3 =
x 2 =x 3 =
x 2 =
3
-2
112
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5618-
24
24x 3 =
x 4 =x 3 =
x 4 =
3
20
1724
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-2319-
9
9x 1 =
x 3 =x 1 =
x 3 =
1
-6
-79
-6 – 1 =
-6 + -1 =
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-242 8+
8
8x 1 =
x 2 =x 1 =
x 2 =
2
-4
-28
-4 + 2 =
-1 4
=
-2
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-45-23-
15
15x 5 =
x 3 =x 5 =
x 3 =
-10
-12
-215
-12 – -10 =
-12 + +10 =
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REMEMBER: REMEMBER: To Always Show Your Work To Always Show Your Work
and The Giant One!and The Giant One!Take out your study guide!!!Take out your study guide!!!
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Add Fractions45-23+
15
15x 5 =
x 3 =x 5 =
x 3 =
-10
12
215
1) Find a common denominator.
2) Add the numerators.
3) Keep the common denominator the same.
#23
4) Simplify or reduce. Change improper fractions to mixed #s.
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Add & Subtract Negative Add & Subtract Negative FractionsFractions
-2634+
12
12x 3 =
x 2 =x 3 =
x 2 =
9
-4
512
#24
-451
10
10
10x 1 =
x 2 =x 1 =
x 2 =
1
-8
-910
-8 – 1 =-8 + -1 =
--9
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ExtrasExtras
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4523+
15
15x 5 =
x 3 =x 5 =
x 3 =
10
12
2215
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2215 15) 22
1157
715
Simplify Your Simplify Your AnswerAnswer
ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION!
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-2319-
9
9x 1 =
x 3 =x 1 =
x 3 =
1
-6
-79
-6 – 1 =
-6 + -1 =
-6 + -1 = -7
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