Ratios like these are much more common than you might think. Ratios occur frequently in daily life and help to simplify many of our interactions by putting numbers into perspective. Ratios allow us to measure and express quantities by making them easier to understand.
Examples of ratios in life:. There are several different ways to express a ratio. One of the most common is to write a ratio using a colon as a this-to-that comparison such as the children-to-adults example above. Because ratios are simple division problems, they can also be written as a fraction. Some people prefer to express ratios using only words, as in the cookies example.
In the context of mathematics, the colon and fraction format are preferred. When comparing more than two quantities, opt for the colon format. For example, if you are preparing a mixture that calls for 1 part oil, 1 part vinegar, and 10 parts water, you could express the ratio of oil to vinegar to water as Consider the context of the comparison when deciding how best to write your ratio. No matter how a ratio is written, it is important that it be simplified down to the smallest whole numbers possible, just as with any fraction.
This can be done by finding the greatest common factor between the numbers and dividing them accordingly. With a ratio comparing 12 to 16, for example, you see that both 12 and 16 can be divided by 4. This simplifies your ratio into 3 to 4, or the quotients you get when you divide 12 and 16 by 4. Your ratio can now be written as:.
Practice identifying real-life opportunities for expressing ratios by finding quantities you want to compare. You can then try calculating these ratios and simplifying them into their smallest whole numbers. Below are a few examples of authentic ratios to practice calculating. Use the following demographic information about a marching band to complete the following exercises using ratios comparing two or more quantities. Instrument type. What is the ratio of boys to girls? A soccer team played 19 games and won What is the ratio of the number of wins to the number of games played?
This is an example of ratios in a real-world scenario. On the high school chess team there are 5 girls and 8 boys. What is the ratio of girls to boys on the chess team? This is another example of ratios in a real-world scenario.
Previous Page. In addition, he has worked extensively in STEM science, technology, engineering, and mathematics after-school programs. How to Write a Ratio in Different Ways. How to Calculate Sides of a Triangle. How to Calculate Cost Per Pound. How to Compare Ratios. How to Find Ratios. How to Convert Cups to Pounds. How to Calculate the Density Ratio.
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