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Simplify the following fraction to lowest terms.
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Identify the fraction to simplify: \(-\frac{28}{49}\), where the numerator is -28 and the denominator is 49.
Find the greatest common divisor (GCD) of the absolute values of the numerator and denominator. In this case, find \(\text{GCD}(28, 49)\).
Divide both the numerator and the denominator by the GCD to reduce the fraction to its lowest terms: \(\frac{28 \div \text{GCD}}{49 \div \text{GCD}}\).
Apply the negative sign to the simplified fraction, keeping the numerator negative or placing the negative sign in front of the fraction.
Write the simplified fraction as \(-\frac{a}{b}\), where \(a\) and \(b\) are the reduced numerator and denominator respectively.