Yes, \( 8:16 \) and \( 1:2 \) are equivalent ratios.

To verify, simplify the ratio \( 8:16 \):

\[
\frac{8}{16} = \frac{1}{2}
\]

Since both simplify to \( \frac{1}{2} \), the ratios are indeed equivalent.

Would you like more details on ratio simplification or have any questions?

Here are 5 related questions you can explore:
1. How do you simplify any given ratio?
2. What are some common real-life applications of ratios?
3. Can you explain the difference between a ratio and a proportion?
4. How do you compare different ratios to see if they are equivalent?
5. How do ratios relate to fractions?

**Tip:** When simplifying ratios, divide both terms by their greatest common divisor (GCD).

Discover how to determine if the ratios 8:16 and 1:2 are equivalent by simplifying the first ratio and comparing it to the second. This problem demonstrates ratio simplification and explains how to check for equivalence. Suitable for students in Grades 5-7.

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