Example One. The following ratios are equivalent. Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. 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. The ratio and proportion are the two important concepts, and it is the foundation to understand the various concepts in mathematics as well as in science.
In our daily life, we use the concept of ratio and proportion such as in business while dealing with money or while cooking any dish, etc. Other essential ratios include pi and phi the golden ratio. The grocery store is a good source of ratios in real life. While looking at the prices of various groceries, you can easily illustrate ratios using two different boxes of cereal. By dividing the number of ounces of cereal by the price, you demonstrate the relationship between amount and size.
For the smaller box of cereal, each ounce costs 30 cents; for the larger box of cereal, each ounce of cereal costs 25 cents. You also use ratios in cooking. The relationships between the amounts of various ingredients in recipes are essential to cooking the most delicious meals. For example, to create the best tasting achiote oil, you combine 1 cup of olive oil with 2 tablespoons of achiote, or orange seeds.
This is easy to visualize as a ratio of 1 cup oil to 2 tablespoons seeds. The ubiquitous travel question "Are we there yet? For example, while taking a road trip from New York City to Philadelphia, you must travel approximately 90 miles.
Assuming the car travels at 60 miles per hour, convert the hour to 60 minutes. Then divide the total miles traveled 90 miles by 60 minutes to demonstrate that the trip to Philadelphia requires one and a half hours by car.
Two special ratios consistently seen in real life are pi 3. Pi is the relationship between the circumference of a circle and its diameter. In the real world, pi is essential for calculating the circumference of a circular swimming pool using the diameter or radius.
Euclid originally determined phi, or the golden ratio, as a means to calculate line segments and relationships between shapes. The golden ratio is common in biological relationships. For example, the length of your forearm divided by the length your hand results in a number close to 1.
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