31/20 simplified
Understand the Problem
The question is asking to simplify the fraction 31/20. The simplification process involves expressing the fraction in the lowest terms, but in this case, the fraction is already in simplest form because 31 and 20 do not have common factors.
Answer
$ \frac{31}{20} $
Answer for screen readers
The simplified form of the fraction $ \frac{31}{20} $ is $ \frac{31}{20} $.
Steps to Solve
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Check for Common Factors
First, we need to determine if there are any common factors between the numerator (31) and the denominator (20). The common factors are the integers that divide both numbers evenly. -
Identify Factors of Each Number
- The factors of 31 (a prime number) are just 1 and 31.
- The factors of 20 are 1, 2, 4, 5, 10, and 20.
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Compare the Factors
Now we compare the factors from both numbers. The only common factor is 1. -
Conclusion on Simplification
Since the greatest common factor (GCF) is 1, the fraction $ \frac{31}{20} $ cannot be simplified further. It is already in its simplest form.
The simplified form of the fraction $ \frac{31}{20} $ is $ \frac{31}{20} $.
More Information
31 is a prime number, which means it has no factors other than 1 and itself. The fraction $ \frac{31}{20} $ being in simplest form highlights the importance of understanding prime numbers in simplification.
Tips
A common mistake is to assume that a fraction can always be simplified. It's important to verify if the numerator and the denominator have any common factors before proceeding with simplification.
