copyright©amberpasillas2010. parts of a fraction 3 4 = the number of parts = the total number of...

Parts of a FractionParts of a Fraction

34

= the number of parts

= the total number of parts that equal a whole


Parts of a FractionParts of a Fraction

34

= 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


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


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.


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 43 2 6

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

1n n


12-18+

Find a Least CommonDenominator

(LCD).

8

8


12-18+

Now fill in your

Giant Ones.8

8x 1 =

x 4 =x 4 = 4

x 1 = -1


12-18+

Add numerators.The denominator

stays the same.

8

8x 1 =

x 4 =x 4 = 4

x 1 = -1

38


-2513+

What is a good denominator?

15

15


-2513+

Ask yourselfwhat do youmultiply thedenominatorby to get 15.

15

15x 5 =

x 3 =


-2513+

Fill in yourGiant Ones.

15

15x 5 =

x 3 =x 3 = -6

x 5 = 5


-2513+

15

15x 5 =

x 3 =x 3 = -6

x 5 = 5Add the

numerators.The denominator

stays the same.-115


-1614+

12

12x 3 =

x 2 =x 3 =

x 2 =

3

-2

112


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

-79

-6 – 1 =

-6 + -1 =


-242 8+

8

8x 1 =

x 2 =x 1 =

x 2 =

2

-4

-28

-4 + 2 =

-1 4

=

-2


-45-23-

15

15x 5 =

x 3 =x 5 =

x 3 =

-10

-12

-215

-12 – -10 =

-12 + +10 =

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!!!



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.

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


ExtrasExtras

4523+

15

15x 5 =

x 3 =x 5 =

x 3 =

10

12

2215


2215 15) 22

1157

715

Simplify Your Simplify Your AnswerAnswer

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


-2319-

9

9x 1 =

x 3 =x 1 =

x 3 =

1

-6

-79

-6 – 1 =

-6 + -1 =

-6 + -1 = -7


copyright©amberpasillas2010. parts of a fraction 3 4 = the number of parts = the total number of...

Documents