Ratio - Watch video (Amsco Integrated Algebra I)

Amsco Integrated Algebra I: Ratio

This is a free lesson from our course in Amsco's Integrated Algebra


	This lesson covers concepts and explanation of ratio, equivalent ratio and continued ratio. A ratio is comparison of two numbers or two similar quantities by division is the quotient obtained when the first number is divided by the second non-zero number. Ratios are written with: symbol. For example, ratio of 6 to 3 can be written as 6 ÷ 3, 6/3, 6:3 = 2. Similarly the ratio of 3 to 6 is 3 ÷ 6, 3/6, 3: 6= 1/2. Equivalent ratio is the ratio obtained when we apply multiplication property of 1 to a fraction. For example: equivalent ratios of 3/1 are (32)/(12)=6/2.In general it may be expressed as (3n)/(1n), where n is the multiplying number. (More text below video...)

People who saw this lesson also found the following lessons useful:

Verbal Problems Involving Ratio

Direct Variation

Changing Units of Measure

(Continued from above) Continued ratio is comparison of three or more quantities in a definite order. In general, the ratio of the numbers a, b and c (b!=0,c!=0) is a:b:c. E.g. the ratio of the measures of the length, width, and height (in that order) of the rectangular solid is 75 : 60 : 45 or, in its simplest form… 5 : 4 : 3.
In a simpler way it can be illustrated like, say for example: The ratio of Apples to Oranges is 5 to 7. If there are 156 fruits total, how many Apples are there? To find the solution to this problem, write down the information given and inferred.
A = 5 O = 7 T = 12
With this information, there are three different ratios you can write.
A/O = 5/7
A/T = 5/12
O/T = 7/12
The solution is to find about Apples and fruits total, so we will use the second ratio and replace the variable T with 156. It gives,
A/156 = 5/12
12 x A = 5 x 156
A = 65
Apples are 65, as the final answer.
Remember it:
• since a ratio is only a comparison or relation between quantities, it is an abstract number. E.g. ratio of 8 feet to 4 feet is only 2, not 2 feet.
• ratios can be written as fractions and they have all the properties of fractions (as stated in earlier learning of lessons)
• precisely the ratio of 6 to 3 should be stated as 2 to 1, but in commonly used language, the expression of ratios is called 2.
• where two quantities cannot be expressed with the same unit, they cannot have a ratio between them.

Winpossible's online math courses and tutorials have gained rapidly popularity since their launch in 2008. Over 100,000 students have benefited from Winpossible's courses... these courses in conjunction with free unlimited homework help serve as a very effective math-tutor for our students.

-	All of the Winpossible math tutorials have been designed by top-notch instructors and offer a comprehensive and rigorous math review of that topic.
-	We guarantee that any student who studies with Winpossible, will get a firm grasp of the associated problem-solving techniques. Each course has our instructors providing step-by-step solutions to a wide variety of problems, completely demystifying the problem-solving process!
-	Winpossible courses have been used by students for help with homework and by homeschoolers.
-	Several teachers use Winpossible courses at schools as a supplement for in-class instruction. They also use our course structure to develop course worksheets.