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)