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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.

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Team Travel

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Team travel l.jpg

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 l.jpg

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 l.jpg

Adding and Subtracting Mixed Numbers

Lesson 6-3


Review adding and subtracting fractions with like denominators l.jpg

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 l.jpg

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

8

6

2

4

3

2 x 4 x 3 = 24 LCD

21

24

20

24

1

24

20

7

8

21

5

6

=

24

24


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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

2

9

6

9

2

3

7

10

17

17

+

=

=


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Try Some More

5

6

1

3

6

3

3

_

8

2

=

2

1

LCD = 6

5

6

2

6

3

6

1

2

_

8

2

6

6

=

=


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Try Some More

5

9

1

6

9

6

3

1

+

4

=

3

2

LCD = 18

10

18

3

18

13

18

+

1

4

5

=


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Your Turn

1

12

7

12

2

3

+

3

14

17

=

7

10

3

5

1

10

-

9

4

5

=


Another example l.jpg

Another Example

5

9

2

3

9

3

-

3

11

8

3

1

LCD = 9

5

9

6

9

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

-

11

8

5

9

14

One whole is equal to 9 pieces.

Add 9 + 5 to get the new numerator.

10

11

9


Another example11 l.jpg

Another Example

8

9

2

3

14

=

10

-

2

8

9


Another way to look at it l.jpg

Another way to look at it…

1

4

3

3 wholes


Another way to look at it13 l.jpg

Another way to look at it…

1

4

3

5 pieces

2

wholes

1

4

5

4

Can be renamed as…

3

2


Another example14 l.jpg

Another Example

3

8

7

8

10

8

Rename the improper fraction.

+

2

5

7

=

1

2

8

1

4

2

8

8

10

8

8

1

+

7

=

=

8

2


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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)


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