To find the product of \( \frac{4}{7} \left(-\frac{20}{2}\right) \), we'll first simplify \(-\frac{20}{2}\):
\[ -\frac{20}{2} = -10 \]
Now, we substitute this back into the expression:
\[ \frac{4}{7} \times -10 \]
We can write \(-10\) as \(-\frac{10}{1}\) and then multiply the fractions:
\[ \frac{4}{7} \times -\frac{10}{1} = \frac{4 \times -10}{7 \times 1} = \frac{-40}{7} \]
Now, we can convert \(-\frac{40}{7}\) into a mixed number. Dividing \(40\) by \(7\):
\[ 40 \div 7 = 5 \quad \text{(remainder 5)} \]
So, we have:
\[ -\frac{40}{7} = -5 \frac{5}{7} \]
Therefore, the final answer is:
\[ \boxed{-5 \frac{5}{7}} \]
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