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Q: Is six and two thirds rational or irrational?

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2/3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

No. It's the ratio of -17 and 3 ... a perfectly rational number.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

There is no number which can be rational and irrational so there is no point in asking "how".

In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.

The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.

Can be rational or irrational.

no

Two-thirds of six is not nine. Rather, two-thirds of six is four. You can find this by realizing that two-thirds of six is the same as six-thirds of two. This equates to two times two, which is four.

They are always rational.

It is always rational.

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