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The expression given is:

\[
38.9 - 19\frac{2}{3}
\]

To solve this, let's first convert the mixed fraction \(19\frac{2}{3}\) into an improper fraction:

\[
19\frac{2}{3} = \frac{3 \times 19 + 2}{3} = \frac{57 + 2}{3} = \frac{59}{3}
\]

Now, convert \(\frac{59}{3}\) into a decimal form:

\[
\frac{59}{3} \approx 19.67
\]

Now, subtract this from 38.9:

\[
38.9 - 19.67 = 19.23
\]

So, the result of the expression is **19.23**.

Would you like more details or have any questions? 

Here are some related questions:
1. How do you convert a mixed number to an improper fraction?
2. What are the steps to subtract fractions from decimals?
3. How can you simplify fractions before converting them to decimals?
4. How do you handle subtraction involving negative numbers?
5. How can rounding decimals affect the accuracy of your answer?

**Tip:** Always ensure that fractions are simplified before converting them to decimals for easier calculations.

Learn how to solve the subtraction of 38.9 - 19 2/3 by converting mixed numbers to improper fractions and using decimal subtraction. This problem demonstrates key arithmetic skills and is suitable for students in Grades 5-7.

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