There is no fraction that is irrational. A rational number is defined as the division of two integers, with the denominator not being zero, so a division (or fraction) is always rational, not irrational.
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Any rational or irrational is real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Any decimal number that can't be expressed as a fraction is an irrational number
Because like any other irrational number it can't be expressed as a fraction
It is irrational. Any number that cannot be written as a fraction is irrational. So if the Golden Ratio were rational, instead of a never-ending decimal number, you'd see a fraction. The official measurement is (1+sqrt5)/2. sqrt5 is irrational.
It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.