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
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1. 4
5
+ 3
5
5 Minute Check
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1. 4
5
+
4+3
3
5
5
7
5
1 2
5
1
5)7
-5
2
5 Minute Check
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2. 5
6
+ 5
6
5 Minute Check
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2. 5
6
+ 5
6
10
6
01
6)10
-6
4
1 2
3
5 Minute Check
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3. 15
16
7
16
5 Minute Check
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3. 15
16
7
16
15 −7
16
8
16
1
2
5 Minute Check
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4. 3
5
2
5
5 Minute Check
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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?
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