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question simplify the following fraction: \\(\frac{14}{21}\\)

Question

question
simplify the following fraction: \\(\frac{14}{21}\\)

Explanation:

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 \(\frac{14}{21}=\frac{14\div7}{21\div7}=\frac{2}{3}\).

Answer:

\(\frac{2}{3}\)