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Understanding the Problem
* What is asked?
What the total weight of the fruits?
* What are the given facts?
* The weight of the first basket is 3 1/6 kilograms.
* The weight of the second basket is 6 3/5 kilograms.
*The weight of the third basket is 5 2/3 kilograms.
Planning the Solution
* Strategy: We'll add the weight of each basket to find the total weight.
* Operation: Addition
Solving the Problem
1. Show your solution:
To add fractions, we need a common denominator. Let's find the least common denominator (LCD) for 6, 5, and 3. The LCD of 6, 5, and 3 is 30.
Now, let's convert the mixed numbers to improper fractions and then find equivalent fractions with the denominator 30:
* 3 1/6 = (3 * 6 + 1) / 6 = 19/6 = (19 * 5) / (6 * 5) = 95/30
* 6 3/5 = (6 * 5 + 3) / 5 = 33/5 = (33 * 6) / (5 * 6) = 198/30
* 5 2/3 = (5 * 3 + 2) / 3 = 17/3 = (17 * 10) / (3 * 10) = 170/30
Now we can add the fractions:
95/30 + 198/30 + 170/30 = (95 + 198 + 170) / 30 = 463/30
Convert the improper fraction back to a mixed number:
463 ÷ 30 = 15 with a remainder of 13
So, 463/30 = 15 13/30
2. Write your complete answer:
"The total weight of the fruits is 15 13/30 kilograms."