Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing...

28
Divide Fractions_Mixed Numbers with Cross Canceling.notebook 1 August 26, 2018 Aug 1312:24 PM M1: 2- Dividing Fractions & Mixed Numbers with Cross Canceling / / # Examples: Notes: Essential Question: Cross Canceling: Simplify before multiplying or dividing fractions. Factor out GCF... diagonally. What are the steps in dividing fractions and mixed numbers with cross canceling? Magically Delicious!!! When the GCF of two numbers is itself and the result is 1.

Transcript of Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing...

Page 1: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

1

August 26, 2018

Aug 13­12:24 PM

M1: 2- Dividing Fractions & Mixed Numbers with Cross Canceling

/ / #

Examples: Notes:

Essential Question:

Cross Canceling: Simplify before multiplying or dividing fractions.• Factor out GCF... diagonally.

What are the steps in dividing fractions and mixed numbers with cross canceling?

Magically Delicious!!! When the GCF of two numbers is itself and the result is 1.

Page 2: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

2

August 26, 2018

Aug 13­12:24 PM

M1: 2- Dividing Fractions & Mixed Numbers with Cross Canceling

/ / #

Examples: Notes:

Essential Question:

1. Write down problem.2. Make mixed numbers into improper

fraction.3. Whole Number... Put a 1 in the

denominator.4. Identify whole- DO NOT TOUCH THE

WHOLE!!!!5. Do the Multiplicative Inverse... Change

the division sign to multiplication & write the inverse or reciprocal.

6. Cross Cancel7. Multiply Straight Across8. Simplify

Whole Part Dividing Fractions Directions

What are the steps in dividing fractions and mixed numbers with cross canceling?

Page 3: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

3

August 26, 2018

Jun 24­10:21 PM

Page 4: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

4

August 26, 2018

Nov 12­4:59 PM

1

Haddy has 4 2/3 yards of fabric.  She is making little doggy clown outfits.  Each doggy outfit pattern requires 1 1/6 yards of material.  How many doggy clown outfits can Haddy make with the material she has?

1/2

1/3 1/6

1/12

Composition Notebook 

How many ______ pieces are there in the whole of _____?

Page 5: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

5

August 26, 2018

Nov 12­4:59 PM

1

Haddy has 4 2/3 yards of fabric.  She is making little doggy clown outfits.  Each doggy outfit pattern requires 1 1/6 yards of material.  How many doggy clown outfits can Haddy make with the material she has?

1/2

1/3 1/6

1/12

Bottom of page 203

How many ______ pieces are there in the whole of _____?

1

11/6 1/6 1/6 1/6 1/6 1/6

1

1

1/3

1/3

1/6 1/6 1/6 1/6 1/6 1/6

1/6 1/6 1/6 1/6 1/6 1/6

1/6 1/6 1/6 1/6 1/6 1/6

1/6 1/6

1/6 1/6

She can make 4 outfits.

Page 6: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

6

August 26, 2018

Nov 12­4:59 PM

1

Haddy has 4 2/3 yards of fabric.  She is making little doggy clown outfits.  Each doggy outfit pattern requires 1 1/6 yards of material.  How many doggy clown outfits can Haddy make with the material she has?

1/2

1/3 1/6

1/12

Bottom of page 203

How many ______ parts are there in the whole of _____?

1

1

1

1

1/3

1/3

1/6 1/6 1/6 1/6 1/6 1/6

1/6 1/6 1/6 1/6 1/6 1/6

1/6 1/6 1/6 1/6 1/6 1/6

1/6 1/6 1/6 1/6 1/6 1/6

1/6 1/6

1/6 1/6

Page 7: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

7

August 26, 2018

Aug 21­9:22 PM

How many ______ pieces are there in the  whole of _____?

Page 8: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

8

August 26, 2018

Aug 21­9:22 PM

1

1

1

1

1/5 1/5 1/5 1/5 1/5

1/5 1/5 1/5 1/5 1/5

1/5 1/5 1/5 1/5 1/5

1/5 1/5 1/5 1/5 1/5

Each person will receive 6 2/3 servings because a serving size has 3 parts and there are 2 left out of 3 parts.  Therefore Jamilla is correct.  

Page 9: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

9

August 26, 2018

Aug 12­9:55 PM

2. Rachel finished ¾ of the race in 6 hours.  How long was the entire race?

1 1/2

1/81/3

1/121/4 

Page 10: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

10

August 26, 2018

Aug 12­9:55 PM

2. Rachel finished ¾ of the race in 6 hours.  How long was the entire race?

1 1/2

1/81/3

1/121/4 

161/4  1/4  1/4 

The race was 8 hours.

Page 11: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

11

August 26, 2018

Aug 12­9:55 PM

2. Rachel finished ¾ of the race in 6 hours.  How long was the entire race?

1 1/2

1/81/3

1/121/4 

The race was 8 hours.

6

Race

Time 

(hours)2 8

1

Page 12: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

12

August 26, 2018

Aug 12­9:58 PM

1. Nicole used      of her ribbon to wrap a present.  If she used 6 feet 

of ribbon for the present, how much ribbon did Nicole have at first?

1 1/2

1/81/4 

Nicole started with 16 yards of ribbon.

Page 13: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

13

August 26, 2018

Aug 12­9:55 PM

Feet of Ribbon

Fraction

6 16122 4

Nicole started with 16 yards of ribbon.

Page 14: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

14

August 26, 2018

Aug 12­9:58 PM

1. Nicole used      of her ribbon to wrap a present.  If she used 6 feet 

of ribbon for the present, how much ribbon did Nicole have at first?

1 1/2

1/81/4 

11/8 1/8 1/8 1/8 1/8 1/8 1/8 1/82 2 2 2 2 2 2 2

Nicole started with 16 yards of ribbon.

1/8 1/8 1/8 1/8 1/8

Page 15: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

15

August 26, 2018

Aug 12­10:06 PM

11/4 

1/2

1/8

1

a. If the tank is then filled to capacity, how many half‐gallon bottles can be filled with the water in the tank? 

Page 16: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

16

August 26, 2018

Aug 12­10:06 PM

11/4 

1/2

1/8

1

TankCapacity

Gallons

124 8 16

a. What is the capacity of this tank?

Page 17: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

17

August 26, 2018

Aug 12­10:06 PM

1

11/4 

1/2

1/8

1/4  1/4  1/4 4 4 4 4

The capacity of this tank is 16 gallons.

Page 18: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

18

August 26, 2018

Aug 12­10:10 PM

1. Hunter spent      of his money on a video game before spending half of his remaining money on lunch.  If his lunch costs $10, how much money did he have at first?  

1 1/2

1/3 1/61/4 

1/3 1/3 1/3

vg

1/6 1/6

l

Page 19: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

19

August 26, 2018

Aug 12­10:10 PM

1. Hunter spent      of his money on a video game before spending half of his remaining money on lunch.  If his lunch costs $10, how much money did he have at first?  

1 1/2

1/3 1/61/4 

11/3 1/3 1/3= video games = what is left over

1/6 = lunch

If we change everything into 1/6's then we can solve this problem.

Page 20: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

20

August 26, 2018

Aug 12­10:10 PM

1/3

1. Hunter spent      of his money on a video game before spending half of his remaining money on lunch.  If his lunch costs $10, how much money did he have at first?  

1 1/2

1/3 1/61/4 

1/3

11/6 1/6 1/6 1/6 1/6 1/6

video game Lunch=$10

1/6

If you break everything into 1/6 parts and lunch represents $10, then 10 x 6 = $60.

He had $60 at first.

Page 21: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

21

August 26, 2018

Aug 12­10:14 PM

1. Mr. Scruggs got some money for his birthday.  He spent 1/5 of it on dog treats.  Then, he divided the remainder equally among his 3 favorite charities.  

a. What fraction of his money did each charity receive?

a. If he donated $60 to each charity, how much money did he receive for his birthday?

1 1/51/10

1/15

Page 22: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

22

August 26, 2018

Aug 12­10:14 PM

1. Mr. Scruggs got some money for his birthday.  He spent 1/5 of it on dog treats.  Then, he divided the remainder equally among his 3 favorite charities.  

a. What fraction of his money did each charity receive?

1 1/51/10

11/5 1/5 1/5 1/5 1/5

Dog Treats

There is 4/5 left & he divided it equally into 3 parts.

1/15

Page 23: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

23

August 26, 2018

Aug 12­10:14 PM

1/151/151/151/151/151/151/151/15

1/151/15

1/151/151/151/151/15

11/5 1/5 1/5 1/5 1/5

1. Mr. Scruggs got some money for his birthday.  He spent 1/5 of it on dog treats.  Then, he divided the remainder equally among his 3 favorite charities.  

a. What fraction of his money did each charity receive?

1 1/51/10

=  = 

1/15

He gave 4/15 to charity.

Page 24: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

24

August 26, 2018

Aug 12­10:14 PM

1. Mr. Scruggs got some money for his birthday.  He spent 1/5 of it on dog treats.  Then, he divided the remainder equally among his 3 favorite charities.  

b. If he donated $60 to each charity, how much money did he receive for his birthday?

1 1/5

1/10

1/15

60 ÷ 4 = 15

He received $225 for his birthday.

1/151/151/151/151/151/151/151/15

1/151/15

1/151/151/151/151/15

11/5 1/5 1/5 1/5 1/5

$60 $60 $6015 x 3=$45

45 + 60 + 60 + 60 = 225

Page 25: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

25

August 26, 2018

Jun 20­12:36 PM

Assignment

Page 26: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

26

August 26, 2018

Jun 20­12:36 PM

Assignment

Page 27: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

27

August 26, 2018

Jun 20­12:36 PM

Assignment

Page 28: Divide Fractions Mixed Numbers with Cross Canceling.notebook€¦ · What are the steps in dividing fractions and mixed numbers with cross canceling? Divide Fractions_Mixed Numbers

Divide Fractions_Mixed Numbers with Cross Canceling.notebook

28

August 26, 2018

Jun 29­2:35 PM