Which of the following is a rational number: 2π, 6/7, √61, or 0.37815? (1 point)

Question

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Check answer Remaining Attempts: 3

Answer 1

A rational number is defined as a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Let's analyze the options:

1. 2π: This is an irrational number because π (pi) is irrational and multiplying it by 2 does not change its nature.

2. 6/7: This is a rational number because it is the quotient of two integers (6 and 7).

3. √61: This is also an irrational number because 61 is not a perfect square.

4. 0.37815: This number is a decimal representation and can be expressed as a fraction (37815/100000), making it a rational number.

Out of these options, the clear rational number is 6/7.

So, the correct answer is 6/7.