Give me five examples to justify that every fraction is not a rational number
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Answer:
1. A rational number is expressed in the form of a fraction provided b is a non-zero value.
2. A whole number or an integer is also a rational number as they can be expressed as a fraction having the number in the numerator and 1 as the denominator. For example,
3 can be written as
3. Considering irrational numbers, that is those that cannot be expressed as a fraction like , etc. when used in a fraction will result as a irrational number.
For example, is not a rational number as it is a faction involving irrational numbers.
4. Another example is \pi. Though we approximate it to , when we divide them we get decimal which goes on forever without repeating.
5. A fraction that is irrational is , as both numerator and denominator are irrational numbers, thus the fraction is not a rational number