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simplify the following fraction: \\(\frac{14}{21}\\)
Step1: Find GCD of 14 and 21
The factors of 14 are \(1, 2, 7, 14\), and factors of 21 are \(1, 3, 7, 21\). The greatest common divisor (GCD) is 7.
Step2: Divide numerator and denominator by GCD
Divide numerator \(14\) by \(7\): \(14\div7 = 2\). Divide denominator \(21\) by \(7\): \(21\div7 = 3\). So \(\frac{14}{21}=\frac{14\div7}{21\div7}=\frac{2}{3}\).
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\(\frac{2}{3}\)