Copyright©amberpasillas2010. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010

copyright©amberpasillas2010

Parts of a FractionParts of a Fraction

3

4

= the number of parts

= the total number of parts that equal a whole


Parts of a FractionParts of a Fraction

3

4

= numerator

= denominator


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


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


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


1= 5, 10, 15, 20, 25, 30

1= 10, 20, 30, 40, 50+

5

10


Compare your lists. Which multiples do 5 and 10 have in common?


1= 5, 10, 15, 20, 25, 30

1= 10, 20, 30, 40, 50+

5

10


Use the lowest common multiple as the denominator.


1= 5, 10, 15, 20, 25, 30

1= 10, 20, 30, 40, 50+

5

10


This number is also called the least common denominator.


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.


Rewrite the fractions using the least common denominator or least common multiple.

151

10 +

10

10copyright©amberpasillas2010

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



151

10 +

10

101

To find the topnumber, ask yourselfwhat do you multiply

the 5 by to get 10.



151

10 +

10

101

Since you are looking for the equivalent fraction you know the numerator must also be multiplied by 2.

x 2 x 2 =

2


151

10 +

10

101

x 2 x 2 =

2

Now just add the numerators.

Remember whenadding fractions

you never add the denominators.

103



Identity Property states that any number multiplied by one equals itself

2 2 4

3 2 6

This is useful to know so you can find a common denominator for adding and subtracting fractions.

1n n

12 18+

Use the shortcut to find the

Least CommonDenominator

(LCD).

8

8


12 18+

Now find theequivalent

fractions for1/2 & 1/8.

8

8x 1 =

x 4 =

Ask what do you multiply 2 by to get 8and what do you multiply 8 by to get 8.


12 18+

Since you arewriting equivalent

fractions, nowmultiply the

numerator by the same number you

did on the denominator.

8

8x 1 =

x 4 =x 4 = 4


12 18+

Since you arewriting equivalent

fractions, nowmultiply the

numerator by the same number you

did on the denominator.

8

8x 1 =

x 4 =x 4 = 4

x 1 =1


12 18+

Now add numerators.

The denominator stays the same.

8

8x 1 =

x 4 =x 4 = 4

x 1 =1

85


2513+

Find the least least commonmultiple for 5

and 3. Write it asyour denominator

15

15


2513+

Ask yourselfwhat do youmultiply thedenominatorby to get 15.

15

15x 5 =

x 3 =


2513+

Multiply thenumerator

by the samenumber you

did in thedenominator

15

15x 5 =

x 3 =x 3 = 6


2513+

15

15x 5 =

x 3 =x 5 =

x 3 =

5

6 Multiply thenumerator

by the samenumber you

did in thedenominator.


2513+

Add your numerators. The

denominatorstays the

same.

15

15x 5 =

x 3 =x 5 =

x 3 =

5

6

1115


1614+

12

12x 3 =

x 2 =x 3 =

x 2 =

3

2

512


4523+

15

15x 5 =

x 3 =x 5 =

x 3 =

10

12

2215

ALWAYS SIMPLIFY

YOUR ANSWER IF YOUR

ANSWER IS AN IMPROPER FRACTION!


2215 15) 22

1157

715

ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION!


5618-

24

24x 3 =

x 4 =x 3 =

x 4 =

3

20

1724


2319-

9

9x 1 =

x 3 =x 1 =

x 3 =

1

6

59


242 8+

8

8x 1 =

x 2 =x 1 =

x 2 =

2

4

68

3 4

=


45 23-

15

15x 5 =

x 3 =x 5 =

x 3 =

10

12

2 15



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!!!


Add Fractions45 23+

15

15x 5 =

x 3 =x 5 =

x 3 =

10

12

2215

1) Find a common denominator.

2) Add the numerators.

3) Keep the common denominator the same.

#11

4) Simplify or reduce. Change improper fractions to mixed #s.

15) 221

15

715

7


Subtract Fractions5618-

24

24x 3 =

x 4 =x 3 =

x 4 =

3

20

1724

Always SHOWYOUR WORK! This includes theGiant One.

#12

Giant O

ne

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Copyright©amberpasillas2010. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010