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Is 7/6 a irrational number?

Answer 1

#7/6# is not irrational

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.

A number cannot be expressed as a ratio of two integers and is therefore irrational if it contains both non-terminating and non-repeating decimals in its decimal representation.

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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Answer 2

Roman Alvarez

No, 7/6 is a rational number.

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Answer 3

Emery Allen

No, 7/6 is not an irrational number. It is a rational number because it can be expressed as a quotient of two integers, 7 and 6, where the denominator is not zero.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.