10-19 PPT

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5 Minute Check

Find. Complete on the back of your homework

1. 4

5

+ 3

5

2. 5

6

+ 5

6

3. 15

16

7

16

4. 3

5

2

5

5 Minute Check

Find. Complete on the back of your homework

1. 4

5

+ 3

5

5 Minute Check

Find. Complete on the back of your homework

1. 4

5

+

4+3

3

5

5

7

5

1 2

5

1

5)7

-5

2

5 Minute Check

Find. Complete on the back of your homework

2. 5

6

+ 5

6

5 Minute Check

Find. Complete on the back of your homework

2. 5

6

+ 5

6

10

6

01

6)10

-6

4

1 2

3

5 Minute Check

Find. Complete on the back of your homework

3. 15

16

7

16

5 Minute Check

Find. Complete on the back of your homework

3. 15

16

7

16

15 −7

16

8

16

1

2

5 Minute Check

Find. Complete on the back of your homework

4. 3

5

2

5

5 Minute Check

Find. Complete on the back of your homework

4. 3

5

2

5

3 − 2

5

1

5

Flashcards

You give

1

1

3

Essential Question of a pan of brownies to Susan and of the pan brownies to Patrick. How much

6 of the pan of brownies did you give away?

You give

1

1

3

Essential Question of a pan of brownies to Susan and of the pan brownies to Patrick. How much

6 of the pan of brownies did you give away?

𝑆𝑢𝑠𝑎𝑛

Thursday, Oct 15

Lesson E.4.b

Add and Subtract Unlike Fractions

Add and Subtract Unlike Fractions

Objective: To add and subtract fractions with unlike denominators.

Add and Subtract Unlike Fractions

Before you can add or subtract unlike fractions, rename one or both of the fractions so they have the same denominator.

Add and Subtract Unlike Fractions

Before you can add or subtract unlike fractions, rename one or both of the fractions so they have the same denominator.

This same denominator is called the common denominator.

Add and Subtract Unlike Fractions

Find and simplify.

3

4

+ 1

10

Method 1

How to add or subtract unlike fractions.

Step 1 – Find the least common denominator and convert both fractions.

Add and Subtract Unlike Fractions

Find and simplify.

3

4

+ 1

10

4: 4, 8, 12, 16, 20, 24, 28, 32……

10: 10, 20, 30, 40……….

Method 1

How to add or subtract unlike fractions.

Step 1 – Find the least common denominator and convert both fractions.

Add and Subtract Unlike Fractions

Find and simplify.

3

4

3

4

+ 1

10 x 5

5

+ 1

10 x 2

2

4: 4, 8, 12, 16, 20, 24, 28, 32……

10: 10, 20, 30, 40……….

Method 1

How to add or subtract unlike fractions.

Step 1 – Find the least common denominator and convert both fractions.

Add and Subtract Unlike Fractions

Find and simplify.

3

4

3

4

+ 1

10 x 5

5

+ 1

10

15

20

+ 2

20 x 2

2

4: 4, 8, 12, 16, 20, 24, 28, 32……

10: 10, 20, 30, 40……….

Method 1

How to add or subtract unlike fractions.

Step 1 – Find the least common denominator and convert both fractions.

Add and Subtract Unlike Fractions

Find and simplify.

3

4

3

4

+ 1

10 x 5

5

+ 1

10

15

20

+ 2

20 x 2

2

4: 4, 8, 12, 16, 20, 24, 28, 32……

10: 10, 20, 30, 40……….

Method 1

How to add or subtract unlike fractions.

Step 2 – Add/subtract the numerators and place over the denominator.

Add and Subtract Unlike Fractions

Find and simplify.

3

4

3

4

15

20

+ 1

10 x 5

5

+ 1

10

+ 2

20

17 x 2

2

4: 4, 8, 12, 16, 20, 24, 28, 32……

10: 10, 20, 30, 40……….

20

Method 1

How to add or subtract unlike fractions.

Step 2 – Add/subtract the numerators and place over the denominator.

Add and Subtract Unlike Fractions

Find and simplify.

3

4

3

4

+ 1

10 x 5

5

+ 1

10

15

20

+

17

2

20 x 2

2

4: 4, 8, 12, 16, 20, 24, 28, 32……

10: 10, 20, 30, 40……….

20

Method 1

How to add or subtract unlike fractions.

Step 3 – Simplify, if needed.

Add and Subtract Unlike Fractions

Find and simplify.

3

4

3

4

+ 1

10 x 5

5

+ 1

10 x 2

2

4: 4, 8, 12, 16, 20, 24, 28, 32……

10: 10, 20, 30, 40……….

15

20

+ 2

20

17

Already in simplest form.

20

Method 1

How to add or subtract unlike fractions.

Step 3 – Simplify, if needed.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

Method 2

How to add or subtract unlike fractions.

Step 1 – Multiply the first fraction by the denominator of the second fraction.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

6

20

Method 2

How to add or subtract unlike fractions.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

6

20

Method 2

How to add or subtract unlike fractions.

Step 2 – Bring down the operation.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

6

20

+

Method 2

How to add or subtract unlike fractions.

Step 2 – Bring down the operation.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

6

20

+

Method 2

How to add or subtract unlike fractions.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

6

20

+ 10

20

Method 2

How to add or subtract unlike fractions.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

6

20

+ 10

20

Method 2

How to add or subtract unlike fractions.

Step 4 – Perform the operation and simplify.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

6

20

+ 10

20

16

20

÷ 2

2

= 8

10

÷ 2

2

= 4

5

Meth0d 2

How to add or subtract unlike fractions.

Step 4 – Perform the operation and simplify.

Add and Subtract Unlike Fractions

Find and simplify.

3

10

+ 1

2

+ =

Add and Subtract Unlike Fractions

Find and simplify.

1

2

+ 1

3

=

Do this on your own.

Add and Subtract Unlike Fractions

Find and simplify.

1

2

+ 1

3

= 1

2 x 3

3

6

3

+ 1

3

+ 2

6 x 2

2

Write this down. On today’s assignment, if you use method 1 this is how the work is to be shown.

5

6

Hint – Before you make a multiples list check and see if both denominators are prime. If they are prime, then the LCD is the product of those denominators.

Add and Subtract Unlike Fractions

Find and simplify.

1

2

+ 1

3

Write this down. On today’s assignment, if you use method 2 this is how the work is to be shown.

3

6

+ 2

6

5

6

Hint – Before you make a multiples list check and see if both denominators are prime. If they are prime, then the LCD is the product of those denominators.

Add and Subtract Unlike Fractions

Find and simplify.

1

6

+ 2

9

=

Do this on your own.

Add and Subtract Unlike Fractions

Find and simplify.

1

6

+ 2

9

On today’s assignment, if you use method 2 this is how the work is to be shown.

9

54

+ 12

54

21

54

÷ 3

3

= 7

18

Add and Subtract Unlike Fractions

Find and simplify.

1

3

1

4

=

Do this on your own.

Add and Subtract Unlike Fractions

Find and simplify.

1

3

1

4

= 1

3 x 4

4

4

12

-

1

4

3

12 x 3

3

On today’s assignment, this is how the work is to be shown.

1

12

3: 3, 6, 9, 12, 15, 18……

4: 4, 8, 12, 16, 20……….

Add and Subtract Unlike Fractions

Find and simplify.

5

8

+ 1

4

+ 1

8

=

Do this on your own.

Add and Subtract Unlike Fractions

Find and simplify.

5

8

+ 1

4

+ 1

8

= 5

8

5

8

+ 1

4

+ 2

8 x 2

2

+ 1

8

+ 1

8

8

8

1

÷ 8

8

On today’s assignment, this is how the work is to be shown.

Smaller denominator goes into the larger denominator.

Add and Subtract Unlike Fractions

Find and simplify.

1

6

+ 3

4

1

3

=

Do this on your own.

Add and Subtract Unlike Fractions

Find and simplify.

1

6

+ 3

4

1

3

= 1

6 x

2

12

2

2

+ 3

4 x 3

+ 9

12

3

-

-

1

3

4 x

12

4

4

7

12

6: 6, 12, 18, 24, 30……

4: 4, 8, 12, 16, 20, 24, 28……….

Add and Subtract Unlike Fractions

Find and simplify.

2

5

+ 3

10

+ 8

15

=

Do this on your own.

Add and Subtract Unlike Fractions

Find and simplify.

2

5

+ 3

10

+ 8

15

= 2

5 x

12

30

6

6

+ 3

10

+

37

9 x

30

3

3

+ 8

15

+ 16

30 x 2

2

01

30)37

-30

7

30

1 7

30

Write this down. On today’s assignment, this is how the work is to be shown.

Add and Subtract Unlike Fractions

Agenda Notes

Homework –

Homework Practice E.4.b

Due by the end of class.

Circle all answers and show all work

Mid-Chapter 4 Quiz

Friday, Oct 30

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