Let's solve the expression step by step:

The given expression is:

\[
\frac{17}{7} - \left(-\frac{43}{10}\right)
\]

### Step 1: Handle the negative sign
Subtracting a negative number is equivalent to adding the positive version of that number:

\[
\frac{17}{7} + \frac{43}{10}
\]

### Step 2: Find a common denominator
The least common denominator (LCD) between 7 and 10 is 70.

Convert each fraction:

\[
\frac{17}{7} = \frac{17 \times 10}{7 \times 10} = \frac{170}{70}
\]

\[
\frac{43}{10} = \frac{43 \times 7}{10 \times 7} = \frac{301}{70}
\]

### Step 3: Add the fractions

\[
\frac{170}{70} + \frac{301}{70} = \frac{170 + 301}{70} = \frac{471}{70}
\]

### Step 4: Simplify the fraction
\(\frac{471}{70}\) is already in its simplest form, so this is the final answer.

The result is:

\[
\frac{471}{70}
\]

Would you like more details, or have any questions?

---

Here are five related questions for further exploration:

1. How do you find the least common denominator (LCD) for two fractions?
2. Can you simplify the fraction \(\frac{471}{70}\) further?
3. How do you convert improper fractions to mixed numbers?
4. What is the decimal equivalent of \(\frac{471}{70}\)?
5. How would you approach adding fractions with different denominators without finding the LCD?

**Tip:** When working with fractions, always simplify them at the end to make the result more understandable.

Learn how to solve the fractional expression 17/7 - (-43/10) step-by-step with detailed explanations. This problem involves operations with fractions and handling negative fractions. Suitable for students in Grades 6-8.

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