https://file.aiquickdraw.com/mathbot/file/1729718365519sdl0h72i.jpg

The expression in the image is:

\[
\left( -\frac{3}{4} \times \frac{-8}{15} \right) - \left( \frac{2}{3} \times \frac{-3}{5} \right) - \left( \frac{-4}{7} \times \frac{-14}{15} \right)
\]

### Let's break it down step by step:

1. **First term:**
   \[
   -\frac{3}{4} \times \frac{-8}{15} = \frac{3 \times 8}{4 \times 15} = \frac{24}{60} = \frac{2}{5}
   \]

2. **Second term:**
   \[
   \frac{2}{3} \times \frac{-3}{5} = \frac{2 \times -3}{3 \times 5} = \frac{-6}{15} = \frac{-2}{5}
   \]

3. **Third term:**
   \[
   \frac{-4}{7} \times \frac{-14}{15} = \frac{4 \times 14}{7 \times 15} = \frac{56}{105} = \frac{8}{15}
   \]

### Now, putting it all together:
\[
\frac{2}{5} - \left( \frac{-2}{5} \right) - \frac{8}{15}
\]

This simplifies further:

\[
\frac{2}{5} + \frac{2}{5} - \frac{8}{15}
\]

Converting the fractions to a common denominator (15):
\[
\frac{2}{5} = \frac{6}{15}, \quad \frac{2}{5} = \frac{6}{15}
\]

Now:
\[
\frac{6}{15} + \frac{6}{15} - \frac{8}{15} = \frac{12}{15} - \frac{8}{15} = \frac{4}{15}
\]

### Final answer:
\[
\frac{4}{15}
\]

Would you like further clarification or additional details?

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Here are five related questions you might find helpful:
1. How do you add or subtract fractions with different denominators?
2. Can you explain the steps involved in multiplying two fractions?
3. What is the process for simplifying fractions after performing arithmetic operations?
4. How do you handle negative signs when multiplying or dividing fractions?
5. Can you show an example of a similar problem involving division of fractions?

**Tip:** Always simplify fractions at each step to make calculations easier!

(-3/4 × -8/15) - (2/3 × -3/5) - (-4/7 × -14/15)

Step-by-step solution for the expression (-3/4 × -8/15) - (2/3 × -3/5) - (-4/7 × -14/15), involving multiplication and subtraction of fractions. Suitable for students in Grades 6-8.

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