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Bell Ringer 9/_/11

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Bell Ringer 9/_/11

3. Jasmine was asked to give an example of a natural number and said zero. Is jasmine correct? Why or why not?

BOA. 202

4. Solve 5q=50 XEI.202

5. Calculate the average of

1, 0, and 11, 1PSD. 201

1. There are 4 quarters in a dollar. How many quarters are in 12 dollars? What operation is required to solve this question?XEI.202

xei. 202

2. State why 3 12/5 is not a mixed fraction Ms. Orlowski would accept? Ncp. 201

Date:

Objective: Reducing/Simplifying Fractions

FIRST: List all Factors!

2nd : Underline/bold common factors

3rd : Circle greatest common factor!

VOCAB:

- Factor: the numbers you multiply to get another number
- Greatest Common Factor (GCF): of two or more non-zero intergers, is the largest natural number that divides the numbers without a remainder.

Steps to reducing fractions using the gcf!

Trick: FCG

EXAMPLE 1: GCF

2nd : Underline/bold common factors

8 = 1• 8 12 = 1 • 12

8 = 2 • 4 12= 2• 6

12= 3 • 4

3rd : Circle greatest common factor!

8 = 1 • 8 12 = 1 • 12

8 = 2 • 4 12= 2• 6

12= 3 • 4

FIRST: List all Factors!

8 = 1 • 8 12 = 1 • 12

8 = 2 • 4 12= 2 • 6

12= 3 • 4

EXAMPLE:

the GCF of 8 and 12 is 4.

BUT HOW??

ALSO KNOWN AS: greatest common divisor (gcd) or highest common factor (hcf)

GCF = GCD= HCF

Now that you know how to find the GCF, its time to REDUCE FRACTIONS!!

6/9 Step 1: List all Factors

Step 2: Underline Common factors

Step 3: Circle the GREATEST COMMON FACTOR!

EXAMPLE 2 GCF Reducing Fraction

6

/ 3

2

=

9

/ 3

3

Step 1:

6 = 1 • 6 9 = 1 • 9

6 = 2 • 3 9 = 3 • 3

Step 4: DIVIDE THE NUMERATOR AND DENOMINATOR BY THE GCF!!

Step 2:

6 = 1 • 6 9 = 1 • 9

6 = 2 • 3 9 = 3 • 3

Step 3:

6 = 1 • 6 9 = 1 • 9

6 = 2 • 3 9 = 3 • 3

GCF = 3

Partner Practice

- List the 4 steps required when reducing fractions.
- Identify the GCF of 16 and 6.
- Reduce the fraction 6/16.
- Identify the GCD of 16, 24, and 32.
- Reduce the fraction 9/27.
- Circle all fractions equal to 8/12. (Hint: reduce all fractions)
- 16/24 b. 6/10 c. 2/3

HOMEWORK

DO NOT FORGET:

-Title, Date, and Name on loose leaf paper

-NEW Page NUMBERED

1. Identify the GCD of 18, 36, and 40.

2. Write -7 4/9 as a improper fraction.

3. Put the following fractions in order from least to greatest: -1 5/7, 12/5, -14/3, 1 4/10

4. Reduce the fraction 12/36.

5. 3 7/8 as an improper

6. 19/3 = ? (Mixed)

7. Circle all fractions equal to 9/12. (Hint: reduce all fractions)

a. 3/4 b. 6/9 c. 4/3

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DATE

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