Calculate the Fraction: Finding Each Girl's Share of 5 Apples ÷ 6

Fraction Division with Equal Distribution

Match the following description with the corresponding fraction:

5 apples are distributed equally between 6 girls.

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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:

5 apples are distributed equally between 6 girls.

2

Step-by-step solution

To solve the problem of determining the correct fraction for sharing 5 apples equally among 6 girls, follow these steps:

  • Step 1: Recognize that the problem asks how much of an apple each girl would receive if 5 apples are equally distributed.
  • Step 2: Use the fraction formulation ab \frac{a}{b} , where a a is the number of items (apples) and b b is the number of groups (girls). Here, a=5 a = 5 and b=6 b = 6 .
  • Step 3: Formulate the fraction as 56 \frac{5}{6} , meaning each girl receives 56 \frac{5}{6} of an apple.

This fraction indicates that each girl gets an equal portion of the apples. Hence, for the given problem, 56 \frac{5}{6} is the correct fraction.

Therefore, the solution to the problem is 56 \frac{5}{6} .

3

Final Answer

56 \frac{5}{6}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division creates fractions where dividend becomes numerator, divisor becomes denominator
  • Technique: 5 apples ÷ 6 girls = 56 \frac{5}{6} apple per girl
  • Check: Multiply back: 6 girls × 56 \frac{5}{6} apple each = 5 apples total ✓

Common Mistakes

Avoid these frequent errors
  • Flipping the numerator and denominator
    Don't write 65 \frac{6}{5} when dividing 5 by 6 = impossible result of more than one apple per girl! This reverses the division order completely. Always put what you're dividing (5 apples) on top and what you're dividing by (6 girls) on bottom.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why isn't the answer 65 \frac{6}{5} since there are 6 girls?

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Think about what you're calculating! You want to know how much each girl gets, not how many girls per apple. Since 5 apples are split among 6 girls, each girl gets less than one whole apple, so 56 \frac{5}{6} makes sense.

How can each girl get 56 \frac{5}{6} of an apple?

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In real life, you'd cut each apple into 6 equal pieces, then give each girl 5 pieces total. So each girl gets 5 pieces out of 6, which is 56 \frac{5}{6} of a whole apple!

What's the difference between 56 \frac{5}{6} and 16 \frac{1}{6} ?

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16 \frac{1}{6} would mean each girl gets only 1 apple divided among 6 girls. But we have 5 apples to share, so each girl gets much more - exactly 56 \frac{5}{6} of an apple.

How do I remember which number goes on top?

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Remember: "What you're sharing goes on top". You're sharing 5 apples, so 5 goes on top. The number of people sharing (6 girls) goes on the bottom.

Can I convert 56 \frac{5}{6} to a decimal?

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Yes! 56 \frac{5}{6} = 5 ÷ 6 = 0.833... (or about 0.83). This means each girl gets about 83% of one apple, which confirms our answer makes sense.

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