TAILIEUCHUNG - RealLife Math Phần 8

Tham khảo tài liệu 'reallife math phần 8', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Ratio well. Division of ratios works in the same way. If there was only one truck in the entire neighborhood then there would be only four cars. Here the number of trucks and cars are both divided by two to arrive at the ratio 1 4. In fact this is the simplest form of the ratio of trucks to cars. In a case such as this the ratio can be simplified so that one of the values is one which is a good illustration of how ratios work no matter how many trucks are in the neighborhood the number of cars is four times as large. Not all ratios can be simplified this neatly 2 3 for example. In cases like this a decimal can be used as 2 3 simplifies to 1 . In any case it is easiest to understand the relationship between the two values when the ratio is simplified. Ratios can be multiplied together to discover new ratios. For instance if there are two cars for every truck and three trucks at every house then there are six cars at every house. That is 2 1 multiplied by 3 1 is equal to 6 1. Perhaps money provides a better illustration of this concept. There are four quarters to every dollar and five nickels to every quarter so there are 20 nickels to every dollar. This can be verified by multiplying the five pennies in each nickel by 20 the number of nickels in a dollar to get 100 pennies to every dollar. Although often expressed as a quotient one number divided by another such as 2 3 ratios are not the same thing as fractions. For example if Otis has two dogs and four cats then the ratio of dogs to cats in his house is two to four which simplifies to 1 2 or 1 2. This indicates how many dogs there are compared to cats there are half as many dogs as cats . However the fraction of animals in Otis house that are dogs is two out of the total number of animals or 2 6 which simplifies to 1 3. This means that one third of all of his animals are dogs. Be careful to understand how fractions are related to ratios when using the quotient style of notation. To avoid confusion this text most

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