31/24 simplified
Understand the Problem
The question is asking to simplify the fraction 31/24. This involves identifying if there are any common factors that can be divided to rewrite the fraction in its simplest form.
Answer
$ \frac{31}{24} $
Answer for screen readers
The simplified form of the fraction $ \frac{31}{24} $ is $ \frac{31}{24} $.
Steps to Solve
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Identify the numerator and denominator The numerator is 31 and the denominator is 24.
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Find the greatest common divisor (GCD) We need to check if 31 and 24 have any common factors. Since 31 is a prime number (it has only two factors: 1 and 31), we need to see if 31 divides 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
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Determine if the GCD is greater than 1 Since the only common factor of 31 and 24 is 1, the GCD is 1. This means the fraction is already in its simplest form.
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Conclude the simplification Since there are no common factors besides 1, we conclude that $ \frac{31}{24} $ is already in simplest form.
The simplified form of the fraction $ \frac{31}{24} $ is $ \frac{31}{24} $.
More Information
The fraction $ \frac{31}{24} $ is an improper fraction, meaning the numerator is larger than the denominator. This fraction cannot be simplified further because 31 is a prime number.
Tips
- Confusing prime and composite numbers; remember that prime numbers only have two factors: 1 and themselves.
- Forgetting to check if the fraction can be simplified by looking for GCD.
