Least Common Denominator Least Common Multiple Least Common Denominator Giant One Comparing Fractions

Homework Review -5/1 -0.429 -4.993 8 1/20 63/100 -0.667 3/500 -3 1/50 -3 9/10 3.167 -4 4/5 7 13/100 29/6 -4.875 97/100 1/5 7/9 3.917 2/5 1/8 -3/8 -4.636 9 1/20 -7/13 3.056 -7/25 13/7 -1.389 3 41/500 3/8 -2.778 -1 41/100 0.333 5.467 4 23/100

Guided Problem Solving Write 0.219 as a fraction 0.219/1 3 219/1,000 The fraction cannot be simplified, since 219 and 1,000 have no common factors Yes; 0.219 is read as two hundred nineteen thousandths, which is how it is written as a fraction. 11/40

Name the first six multiples of 6 Least Common Multiple The product of a whole number multiplied by any other whole number is called a multiple. Name the first six multiples of 6 6, 12, 18, 24, 30, 36

Name the first six multiples of 5 Least Common Multiple Name the first six multiples of 5 5, 10, 15, 20, 25, 30

Least Common Multiple A Common Multiple is a number that is a multiple of two numbers. Here are common multiples for the numbers 4 and 10 4 = 4, 8, 12, 16, 20, 24 10 = 10, 20, 30, 40, 50,

Least Common Multiple is the smallest number that a set of given numbers divides evenly into. LCM - Least Common Multiple LCM is also known as finding the Least Common Denominator It is useful to know how to do this so you can find a common denominator when adding or subtracting fractions.

Least Common Multiple To find the LCM 4 and 12 1) List the multiples of both numbers 4 = 4, 8, 12, 16, 20… LCM is 12 12 = 12, 24, 36, 48… 2) Find the least multiple that both numbers have in common. This method is useful if both numbers are small.

Least Common Multiple What is the LCM of 6 & 8? 6 = 6, 12, 18, 24, 30, 36 8 = 8, 16, 24, 32, 40, 48

Least Common Multiple What is the LCM of 3 & 9? 3 = 3, 6, 9, 12, 15, 21, 9 = 9, 18, 27, 36, 45, 54

LCM = 60 Make a List of Multiples 10 = 10, 20, 30, 40, 50, 60, 70, 80… Least Common Multiple Find the LCM of 10 and 12. Make a List of Multiples 10 = 10, 20, 30, 40, 50, 60, 70, 80… 12 = 12, 24, 36, 48, 60, 72… LCM = 60

LCM = 150 Make a List of Multiples Least Common Multiple Find the LCM of 25 and 30. Make a List of Multiples 25 = 25, 50, 75, 100, 125, 150, 175… 30 = 30, 60, 90, 120, 150, 180… LCM = 150

Least Common Multiple What is the LCM used for? The LCM is used to find common denominators so that fractions may be easily compared, added, or subtracted. GIANT ONE GIANT ONE >

copyright©amberpasillas2010 Giant One The Giant One is used to find equivalent fractions. It is used to reduce or simplify fractions. The giant one works because of the Identity Property. copyright©amberpasillas2010

copyright©amberpasillas2010 Giant One Identity Property states that any number multiplied by one equals itself This is useful to know so you can find a common denominator for adding and subtracting fractions. copyright©amberpasillas2010

> < = Large # Small # Means larger or greater than Comparing Fractions To compare fractions sometimes we use inequality symbols rather than an equal sign. > Means larger or greater than < Means smaller or less than = Means equal to Large # Small # The hungry alligator eats the larger number.

5 4 5 is greater than 4 > < = Means larger or greater than Comparing Fractions To compare fractions sometimes we use inequality symbols rather than an equal sign. > Means larger or greater than < Means smaller or less than = Means equal to 5 4 5 is greater than 4

5 4 4 > < = If this method confuses you…try this! Comparing Fractions To compare fractions sometimes we use inequality symbols rather than an equal sign. > Means larger or greater than < Means smaller or less than = Means equal to 5 4 4 If this method confuses you…try this!

< > 5 4 ess than If this method confuses you…try this! Comparing Fractions < ess than reater than > Left hand = Less than 5 4 If this method confuses you…try this!

copyright©amberpasillas2010 Comparing Fractions Which is greater? > copyright©amberpasillas2010

copyright©amberpasillas2010 Comparing Fractions Use < or > to compare the fractions below. > copyright©amberpasillas2010

copyright©amberpasillas2010 Comparing Fractions Use < or > to compare the fractions below. > copyright©amberpasillas2010

copyright©amberpasillas2010 Comparing Fractions Use < or > to compare the fractions below. < copyright©amberpasillas2010

copyright©amberpasillas2010 Comparing Fractions The GCF and LCM are used so regularly that most people find them mentally. GCF = 1 GCF = 5 1) 8 9 2) 15 20 LCM = 72 LCM = 60 copyright©amberpasillas2010

copyright©amberpasillas2010 Comparing Fractions The GCF and LCM are used so regularly that most people find them mentally. GCF = 4 GCF = 4 1) 12 20 2) 8 12 LCM = 60 LCM = 24 copyright©amberpasillas2010

Least Common Denominator #6 Least Common Denominator TO FIND THE LCM OF 4 and 12: 1) List the multiples of both numbers 4 = 4, 8, 12, 16, 20… 12 = 12, 24, 36… 2) Find the least multiple that both numbers have in common. LCM is 12 Least Common Multiple is also known as LCD.

Comparing Fractions > #7 < > Read these symbols from left to right. < Less than > Greater than Less than or equal to Greater than or equal to **************************************************************** To compare fractions you must show your work! >