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If a numerator and/or denominator in a fraction is irrational, the entire fraction is irrational. Since pi is irrational, pi divided by two is also irrational.

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15y ago

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Ermmm, with my noleg on this topic, Idc

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Joe Ayers

Lvl 2
3y ago

rational

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Q: Is pi divided by 2 rational or irrational?
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Related questions

Is an irrational number divided by an irrational number always a rational?

No. sqrt(2)/pi is not rational.


If pi is irrational does that mean that pi divided by 2 is irrational?

Yes, it does. If Pi/2 were rational, it could be written as p/q, and then Pi could be written as 2p/q and would be rational as well.


Can the quotient of two irrational numbers be rational?

Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.


Is 2 pi a rational number?

No, since Pi is an irrational number, 2(pi) would still be irrational.


How do you find two rational and irrational nos?

1, 2 are rational and square root of 2 and pi are irrational.


Are all fractions rational numbers?

No. pi/2 is a fraction but, since pi is irrational, so it pi/2.


Is pi over 2 a whole integer rational or irrational number?

If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.


Is the quotient of two irrational numbers is irrational?

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.


Is 67 divided by a rational or irrational?

You can divide 65 by rationals and irrationals: Divided by a rational: 65 ÷ 13/2 = 10 Divided by an irrational: 65 ÷ √13 = 5√13


Is pi divided by e rational?

A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of irrational numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers! A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.


Can You multiply a rational and irrational number and get an irrational product?

Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).


Is the square root of 10 divided by 2 rational or irrational?

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