Answer:
Let's simplify the expression step by step:
1. First, let's multiply the fractions:
\[ -\frac{4}{5} \times \frac{5}{8} = -\frac{20}{40} = -\frac{1}{2} \]
\[ \frac{4}{5} \times -\frac{7}{8} = -\frac{28}{40} = -\frac{7}{10} \]
2. Now, let's add the results:
\[ -\frac{1}{2} + (-\frac{7}{10}) \]
3. To add these fractions, we need a common denominator. The least common multiple of 2 and 10 is 10. So, let's rewrite the fractions with a denominator of 10:
\[ -\frac{5}{10} + (-\frac{7}{10}) \]
4. Now, we can add the fractions:
\[ -\frac{5}{10} + (-\frac{7}{10}) = -\frac{5 - 7}{10} = -\frac{12}{10} \]
5. Finally, we can simplify the result:
\[ -\frac{12}{10} = -\frac{6}{5} \]
So, the simplified result of the expression is \( -\frac{6}{5} \).
Step-by-step explanation:
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