Title: Algebra 1
Author: Mandy McDaniel
Last saved by: Glencoe Mathematics

Lesson 11-4

Example 1 Divide by Fractions
a.  Find .
	 =   	Multiply by , the reciprocal of .

		=   	Divide by common factors 7 and b.

		= 2a	Simplify.

b.  Find .
	 =   	Multiply by , the reciprocal of .
		=   	Factor x – 4.

		=   	The GCF is (x + 1)(x + 2).

		= x – 2	Simplify.

Example 2 Expression Involving Polynomials
Find .
	 =   	Multiply by , the reciprocal of .
		=   	Factor k– 6k + 5.

		=   	The GCF is (k + 1)(k – 5).

		= k – 1	Simplify.

Example 3 Dimensional Analysis
A garden snail was found to have traveled 1.44 miles in 2 days. What is the speed in inches per day? Use the formula for rate, time, and distance.
		rt = d	rate  time = distance
	r  2 days = 1.44 mi	t = 1.44 days, d = 1.44 mi
	r = 1.44 mi  2 days	Divide each side by 2 days.
	= 1.44 mi  	Multiply by the reciprocal.
	=     	Convert miles to inches. 
	= 		Multiply.
	= 		Express as a unit rate.
Thus, the snail went 45619.2 inches in 1 day.