Answered

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Read and solve the problem below by following the steps in problem solving.

Three baskets of fruits weigh 3 1/6 kilogram, 6 3/5 kilogram and 5 2/3 kilogram. What is the total weight of the fruits?

a. What is asked? _______________________

b. What are the given facts? _______________

Select your strategy. _____________________

What operation will be used? _______________

1. Show your solution. ____________________

2. Write your complete answer. _____________​

Sagot :

Diane2358idn

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."

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