Is 7/6 a irrational number?

1 Answer
Shwetank Mauria
Mar 30, 2016

7/6 is not irrational

Explanation:

As 7/6 is a fraction, it is a rational number and not irrational number. Irrational numbers cannot be written as a fraction or ratio of two integers.

Rational numbers, when expressed in decimal form have either terminating decimals (when denominator of the fraction in its smallest form has only 2 and 5 as prime factors) on non-terminating but repeating decimals.

If a number written in decimal form has non-terminating as well as non-repeating decimals, then it cannot be written as a ratio of two integers and is hence irrational.

As 7/6=1.16161616......., in which 16 get repeated (till infinity), it can be expressed as a fraction and is not irrational.

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