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Simplify the following fraction to lowest terms. (A)
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Identify the fraction to simplify: \(\frac{6}{15}\).
Find the greatest common divisor (GCD) of the numerator (6) and the denominator (15). To do this, list the factors of each number: factors of 6 are 1, 2, 3, 6; factors of 15 are 1, 3, 5, 15.
Determine the largest common factor from the lists, which is 3 in this case.
Divide both the numerator and the denominator by the GCD (3): numerator becomes \(\frac{6}{3}\) and denominator becomes \(\frac{15}{3}\).
Write the simplified fraction as \(\frac{2}{5}\), which is the fraction in lowest terms.