No.

A rational number can be expressed in the form where and are integers and . In other words, it is a fraction whose denominator is not zero, and both the denominator and numerator are integers.

Some fractions, however, may contain a numerator or denominator that is not an integer. Some examples of such fractions are

, and .

A rational number may be represented in many ways, but it can always be expressed as a fraction. For instance, is a rational number because we can express it as . Also, the number , a repeating decimal, is a rational number because we can also express it as fraction .

Actually, at Spain we usually call numbers as $\frac{\sqrt(3)}{2}$ ratios (razones), instead of fractions (fracciones). That way we can identify fractions and rational numbers. It’s just semantics, but it simplifies things a lot.

True. But, in English, we also have ratios containing integers, so that could be quite confusing. I’m glad it works in your country.

Good post, Guillermo. Basically, all rational numbers are fractions, but not all fractions are rational numbers.

is repeated no of infinite decimal no is irrational?pls say what is the difference between rational and irrational?

Hi Panju. Thank you for your comment. Infinite number of decimals (non-terminating decimals). can be rational or irrational. If a non-terminating decimal is repeating (e.g. 0.567567567… where 567 repeats infinitely), then it is rational. If the decimal is not non-terminating and non-repeating, then, it is irrational. To know more about rational and irrational numbers, please visit the link below.

http://mathandmultimedia.com/2010/05/05/rational-and-irrational-numbers/