Final answer:
After converting the mixed number (2 1/5 kg) to an improper fraction and finding a common denominator with 9/10 kg, subtracting the fractions yields 13/10 kg. Converting this back to a mixed number gives 1 3/5 kg, so 1 3/5 kg of apples will remain.
Step-by-step explanation:
The question is asking how many kilograms of apples will be left after eating 9/10 kg from 2 1/5 kg. First, convert mixed numbers to improper fractions. The 2 1/5 kg becomes 11/5 kg. Now, subtract 9/10 kg from 11/5 kg. To subtract these fractions, they must have a common denominator. The least common denominator here is 10, so:
- 11/5 kg = (11×10)/(5×10) = 22/10 kg
- Then, subtract 9/10 kg from 22/10 kg: (22/10) - (9/10) = (22 - 9)/10 = 13/10 kg
Converting the improper fraction back to a mixed number, we get:
- 13/10 kg = 1 3/10 kg, which can also be written as 1 3/5 kg after simplifying the fraction.
Therefore, after eating 9/10 kg of apples, 1 3/5 kg will be left, which corresponds to option d) 1 3/5 kg.