1. Indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Equal quotients correspond to equal ratios.
2. Equivalent ratios, sometimes known as equivalent fractions, are ratios that have the same proportion to each other when put in simplest form. Let's take the following ratios as a quick example. We know each of these fractions has the same ratio between the numerators and the denominators.
3. Another way to check if two ratios are equivalent is to cross multiply and compare the cross products. A cross product is the result of multiplying the numerator of one ratio with the denominator of another. If the cross products are equal, then the ratios are proportional.
4. Examples of ratios in life:
- A. 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.
- B. 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.
