Convert Equal Distribution to Fraction: 11 Shirts ÷ 8 Players

Division as Fractions with Equal Distribution

Choose the fraction that corresponds to the following description:

11 shirts are shared equally between 8 players.

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the fraction that corresponds to the following description:

11 shirts are shared equally between 8 players.

2

Step-by-step solution

To find the fraction that corresponds to the description of 11 shirts being shared equally among 8 players, we perform the following steps:

  • Step 1: Identify the total number of shirts. Here, this number is 11.
  • Step 2: Identify the total number of players. Here, this number is 8.
  • Step 3: Set up the fraction 118\frac{11}{8} where 11 is the number of shirts and 8 is the number of players.

This fraction 118\frac{11}{8} represents how shirts are distributed among players, meaning each player receives 118 \frac{11}{8} of a shirt.

Therefore, the correct answer to the problem is 118 \frac{11}{8} , which corresponds to choice 3.

3

Final Answer

118 \frac{11}{8}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division problems create fractions with dividend as numerator, divisor as denominator
  • Technique: 11 shirts ÷ 8 players becomes 118 \frac{11}{8} shirts per player
  • Check: Each player gets 118 \frac{11}{8} = 1.375 shirts total ✓

Common Mistakes

Avoid these frequent errors
  • Flipping numerator and denominator positions
    Don't write 811 \frac{8}{11} when dividing 11 by 8 = less than 1 shirt per player! This reverses the division and gives each player less than one whole shirt. Always put what's being divided (11 shirts) on top and what it's divided by (8 players) on bottom.

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 isn't the answer just 3 since 11 ÷ 8 is about 1.4?

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The question asks for a fraction, not a decimal or whole number approximation. 118 \frac{11}{8} gives the exact amount each player receives.

How do I remember which number goes on top?

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Think of it as a recipe: what you’re sharinghow many people \frac{\text{what you're sharing}}{\text{how many people}} . The 11 shirts go on top, the 8 players go on bottom.

Can I simplify this fraction?

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No, 118 \frac{11}{8} is already in lowest terms because 11 and 8 share no common factors except 1.

What does it mean that each player gets more than 1 shirt?

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Since 118 \frac{11}{8} = 138 \frac{3}{8} , each player gets 1 whole shirt plus 3/8 of another shirt. This makes sense because 11 shirts among 8 people means some get extra!

Is this the same as 11 ÷ 8?

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Yes! Division and fractions are the same concept. 11 ÷ 8 = 118 \frac{11}{8} = 1.375. The fraction form shows the exact relationship.

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