Bot GPT 4-o mini To multiply the two fractions \(-\frac{2}{1/2}\) and \(-\frac{1}{3/5}\), we first need to convert the mixed numbers into improper fractions.
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Rewrite \(-\frac{2}{1/2}\) and \(-\frac{1}{3/5}\):
- \(-\frac{2}{1/2}\) = -2 divided by \(1/2\). Dividing by a fraction is the same as multiplying by its reciprocal: \[ -2 \div \frac{1}{2} = -2 \times 2 = -4 \]
- \(-\frac{1}{3/5}\) = -1 divided by \(3/5\): \[ -1 \div \frac{3}{5} = -1 \times \frac{5}{3} = -\frac{5}{3} \]
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Now we need to multiply \(-4\) and \(-\frac{5}{3}\): \[ -4 \times -\frac{5}{3} = \frac{20}{3} \]
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To convert \(\frac{20}{3}\) into a decimal: \[ 20 \div 3 \approx 6.6667 \]
Thus, the answer is approximately 6.67 when rounded to two decimal places.
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