# Are all irrational numbers rational?

1. Aug 30, 2006

### Skhandelwal

Since pie is the ratio of the circumference of the circle to its diameter, isn't it possible that there exist a fraction for all nonrepeating going on forever decimal values?

2. Aug 30, 2006

### CRGreathouse

Tongue-in-cheek answer: Yes, but the fraction would have at least one noninteger.

Longer answer: You're wrongly assuming that a circle with rational circumference and diameter exists.

3. Aug 30, 2006

### mathwonk

????? are all humans non human? are all m ortals immortal? are al....

4. Aug 31, 2006

### fourier jr

lol :rofl:

5. Aug 31, 2006

### HallsofIvy

Staff Emeritus
The definition of "rational number" is that it can be written as a fraction with numerator and denominator integers. The "ratio of the circumference of the circle to its diameter" is not a ratio of integers.