https://file.aiquickdraw.com/mathbot/file/1727091393190c2b0hupw.jpg

The image you uploaded contains a mathematical expression written over three fractions, which are separated by addition and subtraction signs. The expression is:

\[
\frac{-3}{17} + \frac{2}{3} + \frac{2}{3} - \frac{14}{17}
\]

To solve this, we need to add and subtract the fractions by finding a common denominator, which in this case is 51. Here's how we can calculate it:

1. Convert \(\frac{-3}{17}\) and \(\frac{14}{17}\) to have the common denominator of 51.
2. Do the same for \(\frac{2}{3}\) for both instances.
3. Add and subtract the resulting fractions.

Let's calculate this step-by-step.The simplified result of the expression is \(\frac{1}{3}\).

Do you have any other questions or need further details on how we arrived at this result? Here are some related questions you might find interesting:

1. How do you find a common denominator for more than two fractions?
2. What would be the result if another fraction was added or subtracted from this set?
3. How does simplifying fractions work, and why is it important?
4. What are the properties of fractions that make them unique in arithmetic operations?
5. Can we convert this fraction to a decimal or a percentage?

**Tip:** Always check your common denominators carefully when adding or subtracting fractions; it helps ensure you get the correct results!

This problem demonstrates how to add and subtract fractions with different denominators. Learn how to find common denominators and simplify the final result with a step-by-step guide. This example is suitable for students in Grades 5-7.

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