Every Fraction is a Rational Number however a Rational Number need not be a Fraction. Refer to the entire article to know whether or not All Rational Numbers are Fractions.
Let us Consider a/b to be a fraction where a, b are natural numbers. We know every natural number is an integer thus a, b are integers too. Therefore the fraction a/b is the quotient of two integers given that b ≠ 0.
Thus, a/b is a Rational Number. We do have instances where a/b is a rational number but not a fraction. To help you we have taken an example.
4/-3 is a Rational Number but not a fraction as the denominator is not a natural number.
Mixed Fraction consisting of both Integer Part and Fractional Part can be expressed as an Improper Fraction, which is a quotient of two integers. Hence, we can say every Mixed Fraction is a Rational Number. Thus, Every Fraction is a Rational Number.
Determine whether the following rational numbers are fractions or not
(i) 2/3
2/3 is a Fraction as both the numerator 2 and denominator 3 are natural numbers.
(ii) 3/4
3/4 is a Fraction as both the numerator 3 and denominator 4 are natural numbers.
(iii) -6/-2
-6/-2 is not a fraction as the numerator -6 and denominator -2 are not natural numbers.
(iv) -15/9
-15/9 is not a fraction since the numerator -15 is not a natural number.
(v) 36/-4
36/-4 is not a fraction since the numerator -36 is not a natural number.
(vi) 45/1
45/1 is a Fraction since both the numerator 45 and denominator 1 are natural numbers.
(vii) 0/5
0/5 is not a reaction since the numerator 0 is not a natural number.
(viii) 2/10
2/10 is a Fraction as the numerator 2 and denominator 10 are natural numbers.
By referring to the above instances we can infer that Not Every Rational Number is a Fraction.