Converting Equal Distribution to Fractions: 3 Apples ÷ 2 Children

Fraction Division with Equal Distribution

Match the following description with the corresponding fraction:

3 apples are distributed equally among two children.

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Match the following description with the corresponding fraction:

3 apples are distributed equally among two children.

2

Step-by-step solution

Let's solve the problem step by step:

We are given 3 apples that need to be distributed equally among 2 children. This requires calculating how many apples each child receives, expressed as a fraction.

  • Step 1: Identify how to divide the apples. We want each child to receive an equal share of the 3 apples. This implies a division problem: 3÷23 \div 2.
  • Step 2: Set up the division as a fraction. When you divide 3 apples among 2 children equally, you are determining 32\frac{3}{2}.
  • Step 3: Express the result as a fraction. Each child receives 32\frac{3}{2} apples.

Thus, when 3 apples are divided equally among 2 children, the result is represented by the fraction 32 \frac{3}{2} .

This matches with the correct choice provided, which is choice 4: 32 \frac{3}{2} .

Therefore, the solution to the problem is 32 \frac{3}{2} .

3

Final Answer

32 \frac{3}{2}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division creates fractions with dividend as numerator, divisor as denominator
  • Technique: 3 apples ÷ 2 children = 32 \frac{3}{2} apples per child
  • Check: Each child gets 1.5 apples, total: 1.5 × 2 = 3 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing numerator and denominator positions
    Don't write 23 \frac{2}{3} when dividing 3 by 2 = wrong meaning! This suggests 2 apples divided among 3 children instead. Always put the total amount (3) as numerator and number of groups (2) as denominator.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

FAQ

Everything you need to know about this question

Why is the answer 32 \frac{3}{2} and not just 3 or 2?

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When you divide 3 apples among 2 children, you're finding how much each child gets. Since 3 ÷ 2 = 32 \frac{3}{2} , each child receives one and a half apples.

How can someone get 1.5 apples in real life?

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You would cut one apple in half! Each child gets 1 whole apple plus half of another apple. That's exactly what 32 \frac{3}{2} = 1.5 means.

Is 32 \frac{3}{2} the same as 3 ÷ 2?

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Yes, absolutely! Division and fractions are the same thing. 32 \frac{3}{2} is just another way to write 3 ÷ 2.

Why not choose 3 as the answer since there are 3 apples?

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The question asks for the fraction representing the division, not the total number of apples. 3 represents the whole amount, but 32 \frac{3}{2} represents how the division is done.

What if I got 23 \frac{2}{3} instead?

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That would mean 2 apples divided among 3 children, which is a different problem! Always check:

  • Numerator = what you're dividing (3 apples)
  • Denominator = how many groups (2 children)

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