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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, 1 PSD. 201.
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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
Reducing Fractions Using GCF! 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 • Explain how you solved number 6 in complete • sentences.
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 NAME DATE TITLE PAGE #