19/30 simplified
Understand the Problem
The question is asking for the simplification of the fraction 19/30. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number. In this case, 19 and 30 share no common factors other than 1, so the fraction is already in its simplest form.
Answer
The simplest form of the fraction is \( \frac{19}{30} \).
Answer for screen readers
The final simplified form of the fraction is ( \frac{19}{30} ).
Steps to Solve
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Identify the Fraction We start with the fraction ( \frac{19}{30} ).
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Find the GCD To simplify the fraction, we need to find the greatest common divisor (GCD) of 19 and 30. Since 19 is a prime number and does not divide 30, we find: $$ \text{GCD}(19, 30) = 1 $$
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Divide the Numerator and Denominator by the GCD Since the GCD is 1, we divide both the numerator and denominator by 1: $$ \frac{19 \div 1}{30 \div 1} = \frac{19}{30} $$
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Conclude Simplification The fraction ( \frac{19}{30} ) is already in its simplest form because it cannot be reduced further.
The final simplified form of the fraction is ( \frac{19}{30} ).
More Information
The fraction ( \frac{19}{30} ) is already in simplest form. This means that it cannot be simplified any further because there are no common factors between the numerator and denominator other than 1.
Tips
- Misidentifying common factors: Some may mistakenly think there are factors other than 1. Remember to check that 19 is prime.
- Forgetting to check the simplest form: Always verify if further simplification is possible after finding the GCD.
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