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The problem in the image asks to rewrite the ratio \( 7 : 12 : 17 \) as an equivalent ratio of the form \( 1 : m : n \), and to give any decimals to 2 decimal places.

To solve this, we will divide each number in the ratio by the first term (7) to make the first part of the ratio equal to 1.

### Step-by-step process:

1. **Divide each term of the ratio by 7:**

\[
m = \frac{12}{7} = 1.71 \quad \text{(rounded to 2 decimal places)}
\]
\[
n = \frac{17}{7} = 2.43 \quad \text{(rounded to 2 decimal places)}
\]

2. **Rewrite the ratio in the required form:**

\[
1 : 1.71 : 2.43
\]

Thus, the equivalent ratio in the form \( 1 : m : n \) is:

\[
1 : 1.71 : 2.43
\]

Would you like any more details or have questions about this? Here are some related questions you might explore:

1. How do you determine if two ratios are equivalent?
2. What are some common applications of ratios in real-life scenarios?
3. How would the ratio change if the original values were in different units (e.g., meters instead of centimeters)?
4. Can this ratio be simplified further? Why or why not?
5. How would you solve this problem if the ratio contained fractions instead of whole numbers?

**Tip:** To convert a ratio to the form \( 1 : m : n \), always divide all parts by the first term.

The heights of three Russian dolls are in the ratio 7:12:17. Rewrite this as an equivalent ratio of the form 1:m:n. Give any decimals in your answer to 2 decimal places.

Learn how to convert the ratio of 7:12:17 into the form 1:m:n, including rounding decimals to 2 decimal places. This problem covers ratios, proportions, and key mathematical operations, suitable for students in Grades 6-8.

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