Math Problem Statement

Three children want to share 6 1/2 candy bars so that each gets the same amount. How many candy bars can each child have? (Without using improper fractions)

Solution

To find how many candy bars each child can get, we'll divide the total number of candy bars by the number of children.

We have 6 1/2 candy bars to be shared among 3 children. Let's break it down step by step:

Step 1: Split 6 1/2 into two parts

  • 6 candy bars and 1/2 a candy bar.

Step 2: Divide the whole candy bars

6 candy bars divided by 3 children is: 6÷3=2 candy bars per child.6 \div 3 = 2 \text{ candy bars per child}.

Step 3: Divide the half candy bar

Now, divide the remaining 1/2 candy bar among 3 children: 1/23=16 of a candy bar per child.\frac{1/2}{3} = \frac{1}{6} \text{ of a candy bar per child}.

Step 4: Add the results

Each child gets 2 full candy bars plus 1/6 of a candy bar. So the total amount of candy for each child is: 2+16=216.2 + \frac{1}{6} = 2 \frac{1}{6}.

Thus, each child gets 2 1/6 candy bars.

Would you like a detailed explanation of any step?

Here are some related questions for practice:

  1. How many candy bars would each child get if there were 5 1/2 candy bars?
  2. If 4 children were sharing 8 3/4 candy bars, how much would each child get?
  3. How would the answer change if there were 9 candy bars shared by 3 children?
  4. What would happen if 2 children shared 6 1/2 candy bars?
  5. How many candy bars would each child get if there were 10 1/3 candy bars?

Tip: When dividing mixed numbers, break them into whole numbers and fractions to make calculations easier.

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Math Problem Analysis

Mathematical Concepts

Division of fractions
Mixed numbers
Basic arithmetic

Formulas

Division of mixed numbers: Whole number + Fraction divided by the number of people

Theorems

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Suitable Grade Level

Grades 4-6