Is 7/6 a irrational number?

1 Answer
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.