A rational number is a number that can be expressed as the quotient (fraction) of two integers, where the denominator is not zero.
Let's evaluate the given numbers:
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\(2\pi\): This is an irrational number because \(\pi\) is irrational, and multiplying by 2 does not change that.
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\(\frac{6}{2}\): This is a rational number because it can be expressed as a fraction of two integers (6 and 2). Simplifying it gives \(3\), which is also a rational number.
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\(\sqrt{61}\): This is an irrational number because 61 is not a perfect square.
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0.37815: This is a terminating decimal and can be expressed as the fraction \(\frac{37815}{100000}\), making it a rational number.
Among the options listed, both \(\frac{6}{2}\) and 0.37815 are rational numbers.