octopus weighed \( \frac{5}{6} \) kilograms. After two weeks, its \( v \) as increased by \( \frac{3}{10} \) kilograms. But afterwards, it lost \( \frac{1}{5} \) weight as it was sick. What is its current weight?
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Let's kick things off with the initial weight of the octopus, which is \( \frac{5}{6} \) kilograms. After two weeks, it gained \( \frac{3}{10} \) kilograms, so we first need to add these two fractions together. To do that, we find a common denominator, which would be 30. So, converting \( \frac{5}{6} \) gets us \( \frac{25}{30} \) and \( \frac{3}{10} \) converts to \( \frac{9}{30} \). Adding those gives \( \frac{25}{30} + \frac{9}{30} = \frac{34}{30} \) or \( \frac{17}{15} \) kilograms. Now, the octopus lost \( \frac{1}{5} \) kilograms while being sick. Converting \( \frac{1}{5} \) to have the same base of 15, we'll turn that into \( \frac{3}{15} \). Now we subtract this from the current weight: \( \frac{17}{15} - \frac{3}{15} = \frac{14}{15} \) kilograms. So, the octopus's current weight is \( \frac{14}{15} \) kilograms! What a journey for our eight-legged friend!
