November 4th on LCM, Ordering/Comparing Fractions

Chapter 5: Section 1 Comparing and Ordering Fractions November 4 th , 2008. Remind Your Folks to Vote.

Multiples ,[object Object],[object Object],12 is a multiple of 4

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],5, 10, 15, 20, 25, 30, etc. 10, 20, 30, 40, 50, 60, etc. What is the LEAST COMMON MULTIPLE of 5 and 10? What are the COMMON MULTIPLES of 5 and 10?

Word Problem ,[object Object],Finding the COMMON MULTIPLES of 5 and 6 will tell you on which days, from TODAY , that the two teams play on the SAME day .

[object Object],Word Problem Multiples of 5: 5, 10, 25, 30, 35, 40…etc. Multiples of 6: 6, 12, 18, 24, 30…etc. Go no further! What is the LEAST COMMON MULTIPLE ? The next time the Baseball team and Soccer team will play on the same day is 30 days from today!

Find the Least Common Multiple: LCM ,[object Object],[object Object],[object Object]

LCM with Prime Factorization ,[object Object],[object Object],[object Object],[object Object],Multiples of 12 = 2 2 • 3 (2 • 2 • 3) = 12 Multiples of 40 = 2 3 • 5 (2 • 2 • 2 • 5) =40 Multiply: 2 3 • 5 • 3 = 2 • 2 • 2 • 5 • 3 = 8 • 15 =120

[object Object],[object Object],Find the Least Common Multiple: LCM

Use Prime Factorization for Variables. ,[object Object],[object Object],[object Object],2 • 3 2 • a 3 = 2 • 3 • 3 • a 3 = 9 • 2 • a 3 = 18a 3 18a 3 is the Least Common Multiple

Comparing Fractions ,[object Object],[object Object],4/9 and 2/9 -4/9 and -2/9 -4/9 and 2/9

Least Common Denominator ,[object Object],[object Object],[object Object],[object Object]

Quick Reminder on Finding Common Denominators. ,[object Object],[object Object]

Word Problem Example ,[object Object],Step 2) Write equivalent fractions with a denominator of 40.

Word Problem Example ,[object Object],Step 1) Find the LCM of 8 and 10: 8 = 2 3 . 10 = 2 times 5. LCM = 2 3 • 5 = 2 • 2 • 2 • 5 = 8 • 5 = 40

Word Problem Example ,[object Object],Step 3) Compare the fractions. The debate team won the greater fraction of competitions.

Ordering Fractions = Inequalities ,[object Object],[object Object],[object Object],[object Object]

Chapter 5, Section 2: Fractions and Decimals.

Remember Long Decimal Division? ,[object Object],When there is no remainder to a division problem, then the quotient is called a TERMINATING DECIMAL . 5/8 = ? There may be several decimal places before you get to a remainder of zero.

Write each fraction or mixed number as a decimal. ,[object Object],[object Object],[object Object],[object Object]

Repeating Decimal ,[object Object],Examples: 2/3 and 15/11, try them…

Comparing/Ordering Fractions ,[object Object],Order from least to Greatest: 0.2, 4/5, 7/10, 0.5

Writing Decimals as Fractions ,[object Object],0.43 is read as “ forty-three hundredths ”, which is the same as 43/100 . Write 1.12 as a mixed number in simplest form: Write 2.32 as a mixed number in simplest form:

Algebra and Repeating Decimals as Fractions. ,[object Object],N = 0. 72 Let the variable n equal the decimal . 100N = 72. 72 Because 2 digits repeat, multiply each side by 10 2 , or 100. 100N = 72. 72 - N - 0.72 The subtraction property of Equality allows you to subtract an equal quantity from each side of the equation. So, subtract to eliminate 0. 72 .

Algebra and Repeating Decimals as Fractions. ,[object Object],100N = 72. 72 - N - 0.72 99N = 72 Divide each side by 99. 99 99 N = 72/99 Divide the numerator and denominator by the GCF, 9. N = 8/9 Simplified.

Assignment #33 ,[object Object],[object Object],[object Object]

November 4th on LCM, Ordering/Comparing Fractions

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November 4th on LCM, Ordering/Comparing Fractions