Determine the Nature of x

Hard Number And Operations Rational And Irrational Numbers

Consider the expression $$x = 3 + 2\frac{1}{3}$$. Determine whether $x$ is a rational or irrational number. Choose the correct answer from the options below.

Recall that a rational number can be expressed as the quotient of two integers, while an irrational number cannot be expressed in such a manner.

$$x$$ is an irrational number.

$$x$$ is a rational number.

$$x$$ cannot be defined as either rational or irrational.

$$x = 7.5$$ and is therefore rational.

$$x$$ is equal to $$3.666...$$ and hence irrational.

Hint

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