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Chapter 7: Problem 38

What is a proportion? Give an example with your description.

Short Answer

Expert verified
A proportion is the equation establishing the equality of two ratios or fractions. An example of proportion is \(3:6 = 10:20\), or \(\frac{3}{6} = \frac{10}{20}\), because both ratios simplify to \(0.5\).

Step by step solution

01

Defining a Proportion

Write the definition of a proportion. A proportion is a mathematical concept that denotes the equality of two ratios or fractions. It is an equation that shows that two ratios are equivalent.
02

Example of a Proportion

Now, provide a clear example to illustrate the concept of a proportion. For instance, consider two ratios: \(3:6\) and \(10:20\). They can be expressed as two fractions i.e. \(\frac{3}{6}\) and \(\frac{10}{20}\). These two fractions simplify to the same number: \(0.5\) showing that the ratios are equivalent. Hence, the equation \(3:6 = 10:20\) or \(\frac{3}{6} = \frac{10}{20}\) is a proportion.

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