To simplify the ratio \(3.8:0.019\), follow these steps:

1. Convert both numbers to the same unit (e.g., both to integers) by multiplying both sides by 1000 (to eliminate decimals):
   \[
   3.8 \times 1000 = 3800 \quad \text{and} \quad 0.019 \times 1000 = 19
   \]
   This gives us the new ratio:
   \[
   3800:19
   \]

2. Simplify the ratio by dividing both numbers by their greatest common divisor (GCD). The GCD of 3800 and 19 is 19.

   \[
   \frac{3800}{19} = 200 \quad \text{and} \quad \frac{19}{19} = 1
   \]
   So, the simplified ratio is:
   \[
   200:1
   \]

Thus, the simplest form of the ratio \(3.8:0.019\) is \(200:1\).

Would you like more details or have any questions? Here are some questions you might want to ask:

1. How do you find the GCD of two numbers?
2. Can you explain another example of simplifying a ratio?
3. How do you convert ratios to fractions?
4. What is the difference between a ratio and a proportion?
5. How do you solve word problems involving ratios?

**Tip:** Always convert decimals to whole numbers by multiplying by a power of 10 when simplifying ratios.

Learn how to simplify the ratio 3.8 to 0.019 into its simplest form step-by-step. This problem involves converting decimals to whole numbers, finding the greatest common divisor (GCD), and understanding basic ratio simplification techniques. Suitable for students in Grades 5-7.

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