Team Travel

• The 57 players on four soccer teams traveled to a soccer tournament in Plainville. Each car carrying the members of the same team had the same number of players in it.

• The 15 players on the Barracudas rode three to a car. • The Sharks and the Dolphins had three fewer players on

each team than the Barracudas had. • The Sharks had one more player in each car than the

Dolphins had. • The Stingrays had six players per car. • In all, how many cars did the soccer players take to

the tournament?  

Answer

• Barracudas15 players ÷ 3 = 5 cars

• Sharks12 players ÷ 4 = 3 cars

• Dolphins12 players ÷ 3 = 4 cars

• Stingrays18 players ÷ 6 = 3 cars

• Add the number of cars for each team to find out the total number of cars the teams took to the soccer tournament.     5 + 3 + 4 + 3 = 15; 15 cars in all

Adding and Subtracting Mixed Numbers

Lesson 6-3

Review - Adding and Subtracting Fractions with Like Denominators

• To add or subtract fractions with like denominators, add or subtract the numerators and write the result over the denominator. Simplify the fraction.

1

5

3

5+

4

5= The denominator

always stays the same.

Review - Adding and Subtracting Fractions with Unlike Denominators• Find the LCD, rename the fractions. Then

add or subtract with like denominators.

7

8

5

6

6 8 2

4 32 x 4 x 3 = 24 LCD

7

8 24

21 5

6 24

20 21

24

20

24

1

24=

Adding and Subtracting Mixed Numbers

• First add or subtract the fractions. If necessary, rename the fractions with the LCD. Then add or subtract the whole numbers and simplify.

4

9 7

6

910+ =

2

917

2

317=

Try Some More

5

6 8 2_

= 1

3

6 3 3

2 1 LCD = 6

5

6 8 2_

= 2

6 6

3

6 6

1

2=

Try Some More

5

9 1 4+ =

1

6

9 6 3

3 2 LCD = 18

10

18 1 4+ =

3

18 5

13

18

Your Turn

1

12 3 14+ =

7

1217

2

3

7

10 9 4- =

3

5 5

1

10

Another Example 5

911 8-

2

3 9 3 3

3 1 LCD = 9

5

911 8-

6

9

Borrow from the whole number, to get a larger numerator.

5

911 10

9

One whole is equal to 9 pieces.

Add 9 + 5 to get the new numerator.

14

Another Example

10 9

14 8-

2

3 2=

8

9

Another way to look at it…

1

43

3 wholes

Another way to look at it…

1

43

2

wholes

5 pieces

1

43

5

42

Can be renamed as…

Another Example

3

8 2 5+ =

7

8 7

10

8

Rename the improper fraction.

10 81

8

2

1 2

8+ 7 = 8

2

8= 8

1

4

Practice / Homework

• Practice: Text pg. 250 # 15-22

• Homework: Lesson 6-3 # 2-24 evens

• Quiz Friday: Lessons 6-1, 6-2, 6-3 (Estimating fractions, adding and subtracting fractions and mixed numbers)