6/39 simplified
Understand the Problem
The question is asking us to simplify the fraction 6/39 to its lowest terms. This involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number.
Answer
$ \frac{2}{13} $
Answer for screen readers
The simplified fraction is $ \frac{2}{13} $.
Steps to Solve
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Identify the GCD We need to find the greatest common divisor (GCD) of the numerator (6) and the denominator (39). The GCD is the largest number that divides both without leaving a remainder.
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List the factors Find the factors of both numbers.
- The factors of 6 are: 1, 2, 3, 6
- The factors of 39 are: 1, 3, 13, 39
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Determine the GCD From the list of factors, the largest number common to both is 3. Therefore, the GCD is: $$ \text{GCD}(6, 39) = 3 $$
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Divide both numerator and denominator by the GCD Now, divide both the numerator and the denominator by the GCD: $$ \frac{6 \div 3}{39 \div 3} = \frac{2}{13} $$
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Write the simplified fraction The fraction $ \frac{6}{39} $ simplified to its lowest terms is: $$ \frac{2}{13} $$
The simplified fraction is $ \frac{2}{13} $.
More Information
Simplifying fractions is a fundamental concept in mathematics. Finding the GCD helps simplify any fraction to its simplest form, making calculations easier.
Tips
- A common mistake is miscalculating the GCD. Ensure that you check all factors thoroughly.
- Another mistake is forgetting to divide both the numerator and denominator by the GCD, resulting in an incorrect answer.
