6/16 in simplest form
Understand the Problem
The question is asking us to simplify the fraction 6/16. To simplify a fraction, we divide the numerator and the denominator by their greatest common divisor (GCD).
Answer
$ \frac{3}{8} $
Answer for screen readers
The simplified fraction of $ \frac{6}{16} $ is $ \frac{3}{8} $.
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 (16).
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List the factors The factors of 6 are: 1, 2, 3, 6.
The factors of 16 are: 1, 2, 4, 8, 16. -
Determine the GCD The common factors between the two numbers are 1 and 2. The greatest of these is 2. Therefore, the GCD of 6 and 16 is 2.
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Divide both the numerator and denominator by the GCD Now, we simplify the fraction by dividing both the numerator and denominator by their GCD:
$$ \frac{6 \div 2}{16 \div 2} = \frac{3}{8} $$ -
Write the simplified fraction The simplified fraction is $ \frac{3}{8} $.
The simplified fraction of $ \frac{6}{16} $ is $ \frac{3}{8} $.
More Information
Simplifying fractions is an essential skill in mathematics as it helps in making calculations easier and clearer. The GCD is a useful tool in this process, as it helps identify the largest number that can divide both numbers in the fraction.
Tips
- Failing to identify the correct GCD can lead to incorrect simplification. Always ensure you check all the factors thoroughly.
- Not dividing both the numerator and the denominator by the GCD. Remember to do this step to maintain the value of the fraction.
