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

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Presentation transcript:

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

Answer: a)Tan b)Sin c)Cos

Lesson 119: Complex Fractions

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

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).

Example: Simplify 1/5 2/3

Answer: 15  1/5 = 3/ /3

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

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.

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

Example: Simplify ½ + 1/3 1/3 + 1/4

Answer: 5/6 = 5/6  12/7 = 10/7 7/12

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

Answer: 28 4/7 = 200/7 = 200 = 2/ /1 700

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

Answer: 1/12

HW: Lesson 119 #1-25