This is a free lesson from our course in Algebra I

 In this lesson you'll learn how to work with ratios. A ratio is a comparison of two quantities -- the ratio of number x to number y is x/y, where y  0. If two quantities are in the ratio a : b, then taking x as a common multiple, the first quantity could be ax and the second one could be bx.For example, express 28/36 as a ratio. You can write it as, 28/36 = 7/9 (dividing both numerator and denominator by 4) or 7:9. Let's see one more example: What is the ratio of men to boys if there are 15 boys and 3 men? Ans. 3 men / 15 boys = 1 men / 5 boys or 1:5 (read 1 to 5). You'll also learn here how to compare more than two quantities at a time and then combine their ratios. For example, if a : b = 3 : 4 and b : c = 6 : 7, then a : b : c = 3 : 4 : 14/3. Once you go through the instructor's explanation in the video above, it'll be easy for you to understand how the above ratio was determined.
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