1. Bell Work: Name the trig function for each ratio: a) Opposite Leg Adjacent Leg b) Opposite Leg Hypotenuse c) Adjacent Leg Hypotenuse

2. Answer: a)Tan b)Sin c)Cos

3. Lesson 119: Complex Fractions

4. A complex fraction is a fraction containing one or more fractions in the numerator or denominator. Each of the following is a complex fraction: 1/5 16 2/3 15 2/3 100 6 2/3

5. It is customary to express the numerator and denominator of a fraction with integers when possible. We will describe two methods for simplifying a complex fraction. One method is to use the identity property of multiplication (multiply the numerator and denominator of the fraction by a common denominator).

6. Example: Simplify 1/5 2/3

7. Answer: 15  1/5 = 3/10 15 2/3

8. Notice that we multiplied the complex fraction by a fraction equivalent to 1. so the resulting fraction is equal to the original complex fraction.

9. An alternative method for simplifying some complex fractions is to treat the complex fraction as a fraction division problem. We can express the division problem with a division sign instead of a fraction bar.

10. 1/5 = 1/5 ÷ 2/3 = 1/5  3/2 = 3/10 2/3

11. Example: Simplify ½ + 1/3 1/3 + 1/4

12. Answer: 5/6 = 5/6  12/7 = 10/7 7/12

13. Example: Change 28 4/7% to a fraction and simplify.

14. Answer: 28 4/7 = 200/7 = 200 = 2/7 100 100/1 700

15. Example: Change the percent to a fraction and simplify. 8 1/3%

16. Answer: 1/12

17. HW: Lesson 119 #1-25