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Get papers sit down get out homework &quietly work on bellringerPowerPoint Presentation

Get papers sit down get out homework &quietly work on bellringer

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### Get papers sit downget out homework&quietly work on bellringer

### Get papers sit downget out homework&quietly work on bellringer

### 2-4 Comparing and Ordering Fractionsc2

Simplify each fraction and find GCF

1253630

200 64 42

Simplify each fraction and find GCF

1253630

200 64 42

5

7

GCF=6

9

16

GCF=4

5

8

GCF=25

Comparing - Step 1

- If the denominators are the same, then the fraction with the larger numerator is greater.
- 3/5 is greater than 2/5

1/12

Comparing - Step 1- If the numerators are the same, then the fraction with the lower denominator is greater.

1/8 is greater than 1/12

Least Common Denominator

The least common denominator is the least common multiple of the two numbers

- 325
- 4 ; 3 ; 6

10 is the LCM

12 is the LCM

Comparing - Step 2

- If the denominators and numerators are different, than a common denominator should be found.

Comparing - Step 2

- If the denominators and numerators are different, than the least common denominator should be found.

Comparing - Step 2

- If the denominators and numerators are different, than the least common denominator should be found.

An easy way to do this is to find LCM using the ladder system

x 2

x 5

x 5

Comparing - Step 2- If the denominators and numerators are different, than the least common denominator should be found.

An easy way to do this is to find LCM using the ladder system

Comparing - Step 3

- Since a common denominator was found by LCM (using ladder system), the same number must be multiplied to the numerator

The golden rule of fractions = whatever you do to the top, you do to the bottom.

x 2

4

x 5

5

x 2

x 5

Ordering - Step 1

- To order fractions, you must compare the fractions first.
- Find a common denominator if needed
- If more than 3 fractions are being compared:
- find a common multiple of all 3,or
- multiply all three numbers together

- Multiply each numerator by the number you multiplied it by in the denominator.

Use the Ladder to Find Common Denominator

WRITE the three denominators on one line.

3

4

3

6

2

4

1

2

DRAW THE L SHAPE

DIVIDE out common prime numbers starting with the smallest (has to divide in to at least two of the numbers)

-- if not divisible by the prime drop it down as is

2

1

1

3 x 2 x 2 x 1 x1 = 12

24

2

=

36

3

Ordering - Step 1

- To order fractions, you must compare the fractions first.

- 3 x 3 = 9
- 4 x 3 = 12
- 2 x 4 = 8
- 3 x 4 = 12
- 5 x 2 = 10
- 6 x 2 = 12

Middle

- 325
- 4 ; 3 ; 6

Least

Greatest

Ordering - Step 2

- Place fractions in order as needed (least to greatest or greatest to least)

- 3 x 3 = 9
- 4 x 3 = 12
- 2 x 4 = 8
- 3 x 4 = 12 55 x 2 = 10
- 6 x 2 = 12

Middle

- 235
- 3 ; 4 ; 6

Least

Least to greatest order

Greatest

7

1.

3

9

Compare using less than (), greater than (), or equal to (=)

Numerators and denominators are not the same, so find greatest common denominator

3

3

9

Common Denominator 3 x 1 x 3 = 9

1

3

- 2x 3 = 6
- 3 x 3 = 9
- 7x 1 = 7
- 9 x 1 = 9

<

5

7

4

8

8

1

3

2

4.

4,

2

3,

Compare using less than (), greater than (), or equal to (=)

Numerators are the same,

so the fraction with the smaller denominator is the greater fraction.

>

1

2.

16

<

Denominators are the same,

so the fraction with the larger numerator is the greater fraction.

3.

Order from least to greatest

2

3

4

2

3

2

1

Common Denominator

2 x 3 x 2 x 1 = 12

3

1

4.

3,

4,

2

Common Denominator 12

- 2x 4 = 8
- 3 x 4 = 12
- 3x 3 = 9
- 4 x 3 = 12
- 1 x 6 = 6
- 2 x 6 = 12

Middle

Least to greatest order

- 123
- 2 ; 3 ; 4

Greatest

Least

3

1

5.

2,

4,

3,

8

8

- 1x 12= 12
- 2 x 12 = 24
- 3x 6 = 18
- 4 x 6 = 24
- 1 x 8 = 8
- 3 x 8 = 24
- 8 x 3 = 24
- 8 x 3 = 24

Common Denominator 24

Least

Greatest

- 1138
- 3 ; 2 ; 4 ; 8

Homework

- Pg 89
- #4-26 evens only (show your work)

- On a recent test Julie got of the problems right. Ron got 0.75 of the problems right. Who got the most problems right?
- 0.6 of the tourist who visit Florida come during the summer. travel to Florida during the winter. During which season does Florida have the most tourist?

- Stacia got 0.75 of the problems right. Who got the most problems right? has yards of fabric. Theresa has 0.4 yards of fabric. Who has more fabric?
- Miles has drill bits measuring 0.13 inches,
inches, and inches. He wants to use the largest bit. Which one should he use?

- Melanie needs yards of fabric to make a cover for her tennis racket. At the store, she found two fabrics that she liked. The store had 0.61 yards of one fabric and yards of the other. Which should she buy?
- Tom and Caleb are building a dog house. Tom cut of the wood and Caleb cut 0.28 of the wood. Who cut the most wood?

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