No
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An example of a positive number without fractions or decimals is the whole number 7.
fractions are represented in form of decimals
In theory, infinite, non-recurring decimals can represent irrational number whereas fractions cannot do that. However, any non-recurring decimal number can be expressed for only a finite number of digits and so this theoretical difference cannot be attained in reality.
Equivalent to what? No fraction is "equivalent" by itself; you can say that two or more fractions are equivalent, if they represent the same number.
They can show the same number, just in different ways. You can convert fractions into decimals or decimals into fractions.