chapter+5

media type="custom" key="5031503" how to solve division of algebraic fractions

A [|rate] is a ratio that compares two different kinds of numbers, such as miles per hour or dollars per pound. A unit rate compares a quantity to its unit of measure. A [|unit price] is a rate comparing the price of an item to its unit of measure. The rate "miles per hour" gives distance traveled per unit of time. Problems using this type of rate can be solved using a [|proportion], or a [|formula].  Let's say you rode your bike 2 hours and traveled 24 miles. What is your rate of speed? Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour.

Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours. How many miles did you travel? This time, use the distance formula d = rt: d = 10 miles per hour × 4 hours = 40 miles. Next, you ride 18 miles and travel at a rate of 12 miles per hour. How long did this take you? Use the time formula t = d/r: t = 18 miles ÷ 12 miles per hour = 1.5 hours, or 1 ½ hours. (i did not do that i got it from a site http://www.math.com/school/subject1/lessons/S1U2L3DP.html) **What is the ratio of squares to triangles?** We use ratios to make comparisons between two things. When we express ratios in words, we use the word "to" -- we say "the ratio of something to something else" -- for example, the ratio of squares to triangles in the illustration below. Ratios can be written in several different ways.  Click on each word below to see the ratio of squares to triangles expressed in each way. Multiplying or dividing each term by the same nonzero number will give an equal ratio. For example, the ratio 2:4 is equal to the ratio 1:2. To tell if two ratios are equal, use a calculator and divide. If the division gives the same answer for both ratios, then they are equal