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What fraction of numbers from 1 to 15 are prime?
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What fraction of numbers from 1 to 15 are prime?
Introduction
To determine the fraction of numbers from 1 to 15 that are prime, we need to identify the prime numbers within this range. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. In this case, we will consider the numbers 2, 3, 5, 7, 11, and 13 as prime numbers.
Identifying Prime Numbers
To identify the prime numbers between 1 and 15, we can start by checking whether each number is divisible by any numbers other than 1 and itself. If a number has any divisors other than 1 and itself, it is not prime.
1. Number 2: It is the only even prime number. Since 2 is only divisible by 1 and 2, it is a prime number.
2. Number 3: It is not divisible by any numbers other than 1 and 3, making it a prime number.
3. Number 4: It is divisible by 1, 2, and 4. Therefore, it is not a prime number.
4. Number 5: Like 2 and 3, it is only divisible by 1 and 5, making it a prime number.
5. Number 6: It is divisible by 1, 2, 3, and 6, so it is not a prime number.
6. Number 7: It is only divisible by 1 and 7, making it a prime number.
7. Number 8: It is divisible by 1, 2, 4, and 8. Therefore, it is not a prime number.
8. Number 9: It is divisible by 1, 3, and 9. Hence, it is not a prime number.
9. Number 10: It is divisible by 1, 2, 5, and 10. Therefore, it is not a prime number.
10. Number 11: It is only divisible by 1 and 11, making it a prime number.
11. Number 12: It is divisible by 1, 2, 3, 4, 6, and 12. Hence, it is not a prime number.
12. Number 13: It is only divisible by 1 and 13, making it a prime number.
13. Number 14: It is divisible by 1, 2, 7, and 14. Therefore, it is not a prime number.
14. Number 15: It is divisible by 1, 3, 5, and 15. Hence, it is not a prime number.
Finding the Fraction
Out of the numbers from 1 to 15, we have identified 6 prime numbers: 2, 3, 5, 7, 11, and 13. Therefore, the fraction of prime numbers is 6 out of 15.
To express this fraction in its simplest form, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
6 divided by 3 is 2, and 15 divided by 3 is 5. Therefore, the simplified fraction is 2/5.
Conclusion
In the range from 1 to 15, the fraction
To determine the fraction of numbers from 1 to 15 that are prime, we need to identify the prime numbers within this range. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. In this case, we will consider the numbers 2, 3, 5, 7, 11, and 13 as prime numbers.
Identifying Prime Numbers
To identify the prime numbers between 1 and 15, we can start by checking whether each number is divisible by any numbers other than 1 and itself. If a number has any divisors other than 1 and itself, it is not prime.
1. Number 2: It is the only even prime number. Since 2 is only divisible by 1 and 2, it is a prime number.
2. Number 3: It is not divisible by any numbers other than 1 and 3, making it a prime number.
3. Number 4: It is divisible by 1, 2, and 4. Therefore, it is not a prime number.
4. Number 5: Like 2 and 3, it is only divisible by 1 and 5, making it a prime number.
5. Number 6: It is divisible by 1, 2, 3, and 6, so it is not a prime number.
6. Number 7: It is only divisible by 1 and 7, making it a prime number.
7. Number 8: It is divisible by 1, 2, 4, and 8. Therefore, it is not a prime number.
8. Number 9: It is divisible by 1, 3, and 9. Hence, it is not a prime number.
9. Number 10: It is divisible by 1, 2, 5, and 10. Therefore, it is not a prime number.
10. Number 11: It is only divisible by 1 and 11, making it a prime number.
11. Number 12: It is divisible by 1, 2, 3, 4, 6, and 12. Hence, it is not a prime number.
12. Number 13: It is only divisible by 1 and 13, making it a prime number.
13. Number 14: It is divisible by 1, 2, 7, and 14. Therefore, it is not a prime number.
14. Number 15: It is divisible by 1, 3, 5, and 15. Hence, it is not a prime number.
Finding the Fraction
Out of the numbers from 1 to 15, we have identified 6 prime numbers: 2, 3, 5, 7, 11, and 13. Therefore, the fraction of prime numbers is 6 out of 15.
To express this fraction in its simplest form, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
6 divided by 3 is 2, and 15 divided by 3 is 5. Therefore, the simplified fraction is 2/5.
Conclusion
In the range from 1 to 15, the fraction
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What fraction of numbers from 1 to 15 are prime?
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What fraction of numbers from 1 to 15 are prime? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What fraction of numbers from 1 to 15 are prime? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What fraction of numbers from 1 to 15 are prime?.
What fraction of numbers from 1 to 15 are prime? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What fraction of numbers from 1 to 15 are prime? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What fraction of numbers from 1 to 15 are prime?.
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