Rates, ratios and proportions go together like a cheeseburger, fries and a coke. So what’s this bond I speak of with these terms? First let me start by saying rates and ratios are nothing more than fancy fractions (I’ll explain in a second). Next a proportion is nothing more that an equation involving two equal fractions like 1 / 2 = 3 /6. Ok back to rates and ratios. Like I said they are nothing more than fractions but fractions that compare numbers that are counting something (example 20 cars, 10 bats, 3 trees). Ratios are fractions where the numerator and denominator have numbers that measure the same thing like 10 cats / 30 cats. Rates have different units of measure like 60 miles / 2 hours. Now that you know what a rate and ratio are we can move onto proportions. Like I said proportions are equations that involve two equal fractions often these fractions are rates and ratios- see the connection now with rates, ratios and proportions? Let me stress one huge point here:
when you have a proportion you can solve it using the cross-product ( see below); your ability to identify an equation as a proportion and solve it using the cross-product is key to overall success in algebra…learn it well my friend!
some key topics that involve rates, ratios and proportions:
* rational equations
* linear equations
* GED, SAT,ACT and other similar exams
* college prep math and science courses