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 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

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 + = =

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 = =

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 =

Your Turn 1 12 7 12 2 3 + 3 14 17 = 7 10 3 5 1 10 - 9 4 5 =

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 Example 8 9 2 3 14 = 10 - 2 8 9

Another way to look at it… 1 4 3 3 wholes

Another way to look at it… 1 4 3 5 pieces 2 wholes 1 4 5 4 Can be renamed as… 3 2

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

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)