https://file.aiquickdraw.com/mathbot/file/1725426200921ccae3ymd.jpg

The problem in the image involves determining the ratio of triangles to the total number of shapes in the diagram, and simplifying that ratio.

### Steps to Solve:

1. **Count the Triangles**: There are 6 triangles in the diagram.
2. **Count the Total Shapes**: There are 14 shapes in total.

The **unsimplified ratio** of triangles to total shapes is given as 6:14.

3. **Simplify the Ratio**:
   - Find the greatest common divisor (GCD) of 6 and 14, which is 2.
   - Divide both the numerator (6) and the denominator (14) by their GCD (2).

\[
\frac{6}{14} = \frac{6 \div 2}{14 \div 2} = \frac{3}{7}
\]

So, the simplified ratio is **3:7**.

### Final Answer:
"For every 3 triangles there are **7** total shapes, therefore the simplified ratio of triangles to total shapes is **3:7**."

Would you like more details or have any questions about this solution? Here are five related questions:

1. How do you determine the greatest common divisor (GCD) of two numbers?
2. Can you provide another example of simplifying a ratio?
3. What is the process of converting a fraction to a ratio?
4. How would you explain ratios to someone new to the concept?
5. Why is it important to simplify ratios in mathematical problems?

**Tip**: Always ensure you count all elements in a ratio problem correctly to avoid mistakes in the final simplified ratio.

The ratio of triangles to total shapes in the diagram below. Unsimplified ratio of triangles to total shapes: 6:14.

Learn how to simplify the ratio of triangles to total shapes from 6:14 to 3:7 with this step-by-step guide. This problem covers key concepts in ratio simplification and is suitable for students in Grade 8.

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