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Jean-Claude equally shared a box of chocolates with two of his friends.The box weighed 9/5 pounds. What is the weight of chocolate each one receive? How would you solve this using fractions not decimals? Thanks! It is greatly appreciated!!

2 Answers

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Final answer:

Each person receives 3/5 pounds of chocolate when a 9/5 pound box of chocolates is equally shared among Jean-Claude and his two friends. This is calculated by dividing the total weight by three, using fraction multiplication with the reciprocal of three, and simplifying the result.

Step-by-step explanation:

To find the weight of chocolate each person receives when a box of chocolates weighing 9/5 pounds is equally shared among Jean-Claude and two of his friends, we have to divide the total weight by the number of people sharing it. In this case, that number is three (Jean-Claude and his two friends). We solve this using fractions by dividing 9/5 pounds by 3.

Here's the step-by-step solution:

  • First, represent the total weight as a fraction: 9/5 pounds.
  • Since we are dividing by 3, you write this as a multiplication by the reciprocal of 3, which is 1/3.
  • Now multiply the two fractions: (9/5) × (1/3).
  • Multiplying the numerators: 9 × 1 = 9.
  • Multiplying the denominators: 5 × 3 = 15.
  • So the resulting fraction is 9/15 pounds.
  • To simplify, divide both the numerator and denominator by their greatest common divisor, which is 3, yielding 3/5 pounds.

Therefore, each person receives 3/5 pounds of chocolate.

User Excellll
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(9/5) / 3.....when dividing with fractions, " flip " what u r dividing by, then multiply

9/5 * 1/3 = 9/15 reduces to 3/5 lbs .....each one received 3/5 lbs
User Emad
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8.8k points