Final answer:
The current weight of the octopus, after accounting for an increase of 3/10 kg followed by a loss of 1/5 kg from its initial weight of 5/6 kg, is calculated to be 14/15 kg.
Step-by-step explanation:
To determine the current weight of the octopus, we need to follow the sequence of weight changes mentioned in the question. Initially, the octopus weighed 5/6 kg. After two weeks, its weight increased by 3/10 kg, and then it lost 1/5 kg due to illness. We need to perform the arithmetic calculations to find the octopus's current weight.
- Start with the initial weight: 5/6 kg.
- Add the weight gained: (5/6) + (3/10) kg.
- Subtract the weight lost: [(5/6) + (3/10)] - (1/5) kg.
To add and subtract fractions, we need a common denominator. The least common denominator for 6, 10, and 5 is 30. Thus:
- Convert all fractions to have the denominator 30: (5/6) = 25/30, (3/10) = 9/30, (1/5) = 6/30.
- Add the weight increase: 25/30 + 9/30 = 34/30.
- Subtract the weight loss: 34/30 - 6/30 = 28/30.
- Simplify the final fraction: 28/30 = 14/15.
Therefore, the current weight of the octopus is 14/15 kg.