Calculate the Fraction: 10 Tickets Distributed Among 9 Couples
Fraction Division with Equal Distribution
Match the following description with the corresponding fraction:
10 tickets are distributed equally among 9 couples.
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Step-by-step written solution
Understand the problem
Match the following description with the corresponding fraction:
10 tickets are distributed equally among 9 couples.
Step-by-step solution
We need to understand that every fraction is actually a division exercise,
so when we divide 10 tickets among 9 people,
we are dividing 10 by 9
that is 10:9
The division exercise can also be written as a fraction
and that's the solution!
Final Answer
Key Points to Remember
- Concept: Division creates fractions when dividing quantities among groups
- Setup: 10 tickets ÷ 9 couples =
- Check: Each couple gets tickets ✓
Common Mistakes
- Writing the numbers in wrong order Don't write when dividing 10 by 9 = gives less than 1 ticket per couple! This doesn't make sense when distributing more items than recipients. Always put the total amount (10) in the numerator and number of groups (9) in the denominator.
Practice Quiz
What is the marked part?
FAQ
Why is the answer greater than 1?
+When you have more items than groups (10 tickets, 9 couples), each group gets more than 1 item! The fraction means each couple gets 1 whole ticket plus of another.
How do I know which number goes on top?
+The total amount being divided always goes in the numerator (top). The number of groups goes in the denominator (bottom). Think: "10 tickets divided among 9 couples" = .
Can I simplify this fraction?
+Since 10 and 9 share no common factors other than 1, is already in simplest form. You can convert it to a mixed number: .
What if the problem said 'per couple' instead?
+The meaning is the same! "10 tickets distributed among 9 couples" and "tickets per couple" both mean division. You're finding how many tickets each couple receives.
Is this the same as 10 ÷ 9?
+Exactly! Division and fractions are the same thing. . The fraction bar means "divided by" - it's just a different way to write division.
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