Entry Task Change each decimal to a fraction in lowest terms.

01/06/10 Equation Challenge #6 LT: I will solve equations containing decimals and fractions. • Entry Task • Change each decimal to a fraction in lowest terms. 1) 0.2 2) 3.25 3) 5.8 4) 0.012 Learning Target: I will solve equations containing decimals and fractions. Today’s Plan: -Decimals and Fractions -Assignment

01/06/10 Equation Challenge #6 LT: I will solve equations containing decimals and fractions. • Page 144 #9,14,16,17,20 Learning Target: I will solve equations containing decimals and fractions. Today’s Plan: -Decimals and Fractions -Assignment

01/06/10 Equation Challenge #6 LT: I will solve equations containing decimals and fractions. Page 138 #27-41 Learning Target: I will solve equations containing decimals and fractions. Today’s Plan: -Decimals and Fractions -Assignment

– 4.6 = –4.6 = 4.4 m Remember! Once you have solved and equation it is a good idea to check your answer. To check your answer, substitute your answer for the variable in the original equation. Additional Example 1A: Solving Equations with Decimals. Solve. m + 4.6 = 9 A. m + 4.6 = 9 Subtract 4.6 from both sides.

–32.8 8.2 8.2p 8.2 = p = –4 Additional Examples 1B: Solving Equations with Decimals Solve. 8.2p = –32.8 B. Divide both sides by 8.2

x 1.2 = 1.2 •15 1.2 • Additional Examples 1C: Solving Equations with Decimals Solve. x 1.2 C. = 15 Multiply both sides by 1.2 x = 18

75.9 5.5 5.55.5 b = –9.1 –9.1 = 13.8 b = = –6.1 m Try This: Example 1A & 1B Solve. A. m + 9.1 = 3 m + 9.1 = 3 Subtract 9.1 from both sides. B. 5.5b = 75.9 Divide both sides by 5.5

y 4.5 = 4.5 •90 4.5 • Try This: Examples 1C Solve. y 4.5 = 90 C. Multiply both sides by 4.5 y = 405

2 7 Subtract from both sides. 5 7 n = – 27 2 7 3 7 27 n – + = – – Additional Examples 2A: Solving Equations with Fractions Solve. 3 7 2 7 A. n + = –

1 6 Add to both sides. 1 6 1 6 2 3 1 6 y – + + = 4 6 1 6 y = + 5 6 y = Additional Examples 2B: Solving Equations with Fractions Solve. 1 6 2 3 B. y – = Find a common denominator; 6. Simplify.

6 5 Multiply both sides by . 5 8 6 5 5 6 6 5 = • x • 3 4 = x Additional Examples 2C: Solving Equations with Fractions Solve. 5 8 5 6 C. x = 3 4 Simplify.

1 9 Subtract from both sides. 19 6 9 1 9 5 9 19 2 3 n – + = – – Simplify – . n = – Try This: Example 2A Solve. 5 9 1 9 A. n + = –

1 2 Add to both sides. 1 2 1 2 3 4 1 2 y – + + = 3 4 2 4 y = + 1 4 y = 1 Try This: Example 2B Solve. 1 2 3 4 B. – = y Find a common denominator; 4. Simplify.

6 19 3 8 x = 6 19 8 3 3 8 8 3 x = • • 8 3 Multiply both sides by . 16 19 = x Try This: Examples 2C Solve. 6 19 3 8 x C. = 2 1 Simplify.

2 3 Rick’s car holds the amount of gasoline as his wife’s van. If the car’s gas tank can hold 15.5 gallons of gasoline, how much gasoline can the tank in the minivan hold? 15(2)+1 31 1 15.5 = 15 = = 2 2 2 2 3 31 2 Try This: Examples 3 Convert decimal to a fraction: Write an equation: Capacity of car’s tank Van’s gas tank Ratio of car’s tank to van’s tank • = g • =

3 2 3 2 2 3 31 2 Multiply both sides by . g = • • • 3 2 93 4 g = 1 4 g = 23 1 4 The van’s gas tank holds 23 gallons of gasoline. Try This: Examples 3 Continued Now solve the equation. 31 2 2 3 g = • Simplify.

1 3 Lesson Quiz: Part 2 Tamara had 6 bags of mulch for her garden. Each bag contained 8 lb of mulch. What was the total weight of the mulch? 5. 50 lb

Entry Task Change each decimal to a fraction in lowest terms.