Example of a number written in fraction form that is not a rational number.
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OpenStudy (mathlegend):
I thought any fraction was a rational number
OpenStudy (ghazi):
22/7 is in fractional form but not a rational number
OpenStudy (mathlegend):
oh pi... wow... I should have known. Thanks!
OpenStudy (ghazi):
:) YW
hero (hero):
\[\frac{e}{\pi}\]
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hero (hero):
What about this question @MathLegend ?
OpenStudy (mathlegend):
Oh yeah.. but I do not know what e/π means
hero (hero):
e is the natural number and π is pi, neither of which are integers. By definition, a rational number is of the form \[\frac{a}{b}\] where both a and b are integers.
hero (hero):
By this definition, \(\frac{22}{7}\) is rational. It is an approximation for pi, however the numbers 22 and 7 are still integers.
hero (hero):
The only way you can make a fraction that is not rational is by using numbers that are not integers
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hero (hero):
I just wanted to clear up any confusion in that regard