Understanding Ratios: A Mathematical Concept for Comparing and Predicting Quantities

ratio

is an ordered pair of non-negative numbers, which are not both zero.

Ratio is a mathematical concept that describes the relationship between two or more quantities, expressed as a ratio of one quantity to the other. Ratios can be written in several forms, such as a fraction, decimal or percentage.

For example, the ratio of boys to girls in a class of 20 students where 12 are boys and 8 are girls can be written as:

– 12:8 (or simplified as 3:2)
– 12/20 (or simplified as 3/5)
– 60% boys and 40% girls

Ratios can be used to compare or make predictions about quantities. In many cases, ratios are used to represent data in practical situations, such as financial ratios in accounting or gear ratios in engineering. It is important to note that ratios are only meaningful when they are comparing similar units or quantities, such as comparing the number of boys to girls as shown in the example above.

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