Question

is every rational number is a fraction justify your answer please answer step by step process​

Answer 1

Answer:

• Every fraction is a rational number but a rational number need not be a fraction.  

• Let a/b be any fraction. Then, a and b are natural numbers. Since every natural number is an integer. Therefore, a and b are integers. Thus, the fraction a/b is the quotient of two integers such that b ≠ 0.

• Hence, a/b is a rational number.  

• We know that 2/-3 is a rational number but it is not a fraction because its denominator is not a natural number.

• Since every mixed fraction consisting of an integer part and a fractional part can be expressed as an improper fraction, which is quotient of two integers.

• Thus, every mixed fraction is also a rational number.

• Hence, every fraction is also a rational number.