Bot GPT 4-o mini To divide the fraction \(-\frac{2}{3} \div \frac{5}{4}\), you can use the rule that dividing by a fraction is the same as multiplying by its reciprocal.
So, the calculation is:
\[ -\frac{2}{3} \div \frac{5}{4} = -\frac{2}{3} \times \frac{4}{5} \]
Now, multiply the fractions:
- Multiply the numerators: \(-2 \times 4 = -8\)
- Multiply the denominators: \(3 \times 5 = 15\)
So, the result is:
\[ -\frac{8}{15} \]
Therefore, \(-\frac{2}{3} \div \frac{5}{4} = -\frac{8}{15}\).
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