Download Fractions and Mixed Numbers

ch9secondhalfnotes.notebook
January 07, 2015
9.5
Fractions and Mixed Numbers
Dec 18­4:29 PM
pull
The top number is the NUMERATOR
This tells us how many parts in the fraction.
¾
The bottom number is the DENOMINATOR
This tells us how many equal parts
are in the whole.
pull
Denominator/numerator
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ch9secondhalfnotes.notebook
January 07, 2015
Mixed Numbers
Mixed numbers have a whole number AND a fraction!
Dec 20­10:16 AM
Step 1: Write the improper fraction.
8
5
Step 2: Divide the numerator by the denominator.
5
1r3
8
Step 3: The quotient becomes the whole number and the
remainder is put over the denominator.
3
15
Jul 9­5:25 AM
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ch9secondhalfnotes.notebook
January 07, 2015
Improper Fractions
Improper fractions have a numerator that
is greater or equal to the denominator.
Dec 20­10:15 AM
Th
Step 1: Write the mixed number.
e B
3
ig 2
C!
4
Step 2: Multiply the denominator by the whole number and
then add the denominator.
2
x
4
+
3
=
11
Step 3: Put the resulting number over the original
denominator to produce the improper fraction.
11
4
Jul 9­5:25 AM
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ch9secondhalfnotes.notebook
January 07, 2015
9.6
Equivalent Fractions and Simplest Form
1/2 = 2/4
Kelsey Shue
EDTC 4001 ­ 001
East Carolina University
Elementary Education
Nov 27­11:07 AM
When finding equivalent fractions, whatever you do to the numerator, you have to do to the denominator!!
x3
1
_
2
x3
Dec 18­4:49 PM
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ch9secondhalfnotes.notebook
January 07, 2015
To find an equivalent fraction, multiply the
numerator and the denominator by the same
multiplier.
Example:
2
3
3x2
6
x =
=
2
5
5 x 2 10
3
3 x 4 12
4
x =
=
5
4
5 x 4 20
6
3
=
5
10
12
3
=
20
5
Mar 19­7:45 AM
"To Reduce" means to make smaller.
We are going to learn how to make the digits, in the
numerator and denominator of a fraction, smaller, yet the
amount of area they represent stays the same.
2/8=1/4
Jan 30­12:35 PM
5
ch9secondhalfnotes.notebook
January 07, 2015
We can use our multiplication chart to help us reduce the
fractions.
Let's reduce the following fraction.
35
50
Ask yourself, "What row in the multiplication chart has both a 35
and a 50?".
Use the Inside Out Multiplication Chart to find GCF
Jan 30­12:45 PM
If ever you get a fraction that you can still find both the numerator
and the denominator in one row of your multiplication chart...do the
steps again with the new numerator and denominator. This is called
Reducing to Lowest Terms.
90
120
9
10 = 12
10 =
3
3= 4
3=
So...
90 = 3
120 4
Jan 30­2:13 PM
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ch9secondhalfnotes.notebook
January 07, 2015
9.8 Relating Fractions, Mixed Numbers, and Decimals
Dec 18­5:04 PM
A number can be shown as a fraction and a decimal. To show the numbers in the same way, decide which is easier: writing fractions to decimals or decimals as fractions. Dec 18­5:05 PM
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ch9secondhalfnotes.notebook
January 07, 2015
Fraction to Decimal: Change the denominator to a 10, 100, or 1,000 and write the appropriate decimal number.
Ex. 1 = 5 How would you write 2/10 as a decimal number? Dec 18­5:11 PM
Jan 3­8:42 AM
8
ch9secondhalfnotes.notebook
January 07, 2015
Important things to remember!
*REDUCE!!
* WHOLE #
Jan 3­9:18 AM
Decimal to Fraction: Put the decimal number as a fraction by writing the number in the numerator's place and the place value as the denominator. Reduce if needed. 0.2 = 2
10
Can 2/10 be reduced? How do you know? Dec 18­5:11 PM
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ch9secondhalfnotes.notebook
January 07, 2015
9.9
Compare and Order Fractions and Decimals
Dec 18­5:14 PM
There are several ways to compare and order fractions. 1.) Find equivalent fractions with a common denominator. 5
6
5
8
Find the LCM of the denominators!
6:
8:
5
6
5
8
Which fraction has the bigger numerator? Dec 18­5:22 PM
10
ch9secondhalfnotes.notebook
January 07, 2015
2.) Think about a number line!
When the numerators are the same, the fraction with the greater denominator is less than the other fraction. The larger the denominator, the smaller the pieces!
5
6
These numerators are the same!
5
8
Bigger denominator = smaller pieces
Dec 18­5:26 PM
3.) Think about where a half and a whole would be. Find half of the denominator. 5
6
5
8
Closer to one whole
5 is close to 6. Half of 8 is 4 and 5 is closer to 4 than 8, so 5/8 is closer to 1/2. Dec 18­5:30 PM
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ch9secondhalfnotes.notebook
January 07, 2015
If you have a mix of decimals and fractions, make them all fractions or all decimals!
Look back at 9.8!
Dec 18­5:34 PM
MUST KNOW CONVERSIONS
Jan 4­9:11 AM
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