Which statement explains why the ratios 8/5
 and 16/12 are NOT proportional?

The ratios are not proportional because they simplify to the same value.

The ratios are not proportional because 5 is not divisible by 12.

The ratios are not proportional because 8 is half of 16.

The ratios are not proportional because they do not simplify to the same value.

The correct statement is:

**"The ratios are not proportional because they do not simplify to the same value."**

Here’s why:
- Simplify \( \frac{8}{5} \): It remains \( \frac{8}{5} \).
- Simplify \( \frac{16}{12} \): Dividing both the numerator and denominator by 4, \( \frac{16}{12} = \frac{4}{3} \).

Since \( \frac{8}{5} \neq \frac{4}{3} \), the ratios are not proportional because they simplify to different values.

Do you want further details or have any questions?

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Here are 5 related questions for you:
1. How do you determine if two ratios are proportional?
2. What are the steps to simplify a ratio?
3. Can proportions include negative numbers?
4. How can cross-multiplication help in checking proportionality?
5. What are real-life examples where proportionality is applied?

**Tip:** When simplifying ratios, always divide both the numerator and denominator by their greatest common divisor (GCD).

Which statement explains why the ratios 8/5 and 16/12 are NOT proportional?

Understand why the ratios 8/5 and 16/12 are not proportional. This explanation covers how to simplify ratios, the definition of proportionality, and includes step-by-step simplification of the given ratios. Suitable for students in Grades 6-8.

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