Do the ratios 2:8 and 7:28 form a proportion?


To determine if the ratios \(2:8\) and \(7:28\) form a proportion, we need to check if they are equivalent. 

A proportion is a statement that two ratios are equal. This can be verified by simplifying each ratio and then comparing them.

1. Simplify the ratio \(2:8\):
   \[
   \frac{2}{8} = \frac{1}{4}
   \]

2. Simplify the ratio \(7:28\):
   \[
   \frac{7}{28} = \frac{1}{4}
   \]

Since both simplified ratios are \(\frac{1}{4}\), the ratios \(2:8\) and \(7:28\) are indeed equivalent. Therefore, they do form a proportion.

Would you like more details or have any questions? Here are some related questions:

1. What is the definition of a proportion in mathematics?
2. How can you determine if two ratios form a proportion using cross-multiplication?
3. What are some real-life applications of proportions?
4. How do you solve a proportion when one of the terms is unknown?
5. What are the common mistakes when determining if ratios form a proportion?

**Tip:** When simplifying ratios, always divide both the numerator and the denominator by their greatest common divisor (GCD) to ensure the ratio is in its simplest form.

Do the ratios 2:8 and 7:28 form a proportion?

Discover how to determine if the ratios 2:8 and 7:28 form a proportion by simplifying and comparing them. This problem explores key mathematical concepts like ratios and proportions, suitable for students in Grades 6-8.

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