What is the different between fractional number from irrational number?

Answer 1

a rational number is a number that can, by definition, be expressed as a ratio of two numbers. In other words, all rational numbers can be expressed as fractions. Whole numbers are all rational (or as you put, fractional). 5 can be written as the fraction 5/1, same with any other whole number. Decimals are where it gets interesting. .5 is fractional as you can write it as 5/10 or 1/2. Pi (3.1415926......) is the classic example of an irrational number. The decimal goes on forever and doesn't repeat. Therefore, there is no way to write it as a fraction. Be careful though! Just because a decimal goes onto infinity doesn't guarantee that it is irrational. .66666666666666666 repeating might look irrational, but since that decimal can be written as 1/3 then the number itself is said to be fractional!