Is pi a rational number that can be expressed as a fraction?

No, pi (π) is not a rational number, which means it cannot be expressed as a fraction of two integers. Pi is an irrational number, approximately equal to 3.14159, which represents the ratio of the circumference of a circle to its diameter.

The fact that pi is irrational was first proven in 1768 by the mathematician Johann Lambert. This means that its decimal representation goes on forever without repeating. Unlike rational numbers, which can be expressed as fractions (like 1/2, 2/3, etc.), pi does not have a precise fractional representation.

While we often use fractions to approximate pi, such as 22/7 or 355/113, these are just estimates and not exact values. For practical purposes, these approximations can be very useful in calculations involving circles, but they do not capture the true nature of pi as an irrational number.

In summary, pi cannot be expressed as a fraction; it is a unique mathematical constant that continues to intrigue mathematicians and enthusiasts alike.

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