Question

Out of these which are proper fractional numbers?
A) \[\dfrac{3}{2}\]
B) \[\dfrac{2}{5}\]
C) \[\dfrac{1}{7}\]
D) \[\dfrac{8}{3}\]

Answer 1

Hint: Here we will check each of the options whether they are proper of improper fraction.
Proper fraction is the fraction in which the denominator is greater than the numerator.

Complete step-by-step answer:
We have to find the proper fractions.
Let us consider the first option.
A) \[\dfrac{3}{2}\]
Here, the numerator is 3 and the denominator is 2
Now we know that \[3 > 2\]
Therefore, the numerator is greater than the denominator.
Now we know that, proper fraction is the fraction in which the denominator is greater than the numerator.
Hence, the above given fraction is not a proper fraction.
Therefore, option A is incorrect.
Now let us consider option B.
B) \[\dfrac{2}{5}\]
Here, the numerator is 2 and the denominator is 5
Now we know that \[5 > 2\]
Therefore, the denominator is greater than the numerator.
Now we know that, proper fraction is the fraction in which the denominator is greater than the numerator.
Hence, the above given fraction is a proper fraction.
Therefore, option B is correct.
Now let us consider option C.
C) \[\dfrac{1}{7}\]
Here, the numerator is 1 and the denominator is 7
Now we know that \[7 > 1\]
Therefore, the denominator is greater than the numerator.
Now we know that, proper fraction is the fraction in which the denominator is greater than the numerator.
Hence, the above given fraction is a proper fraction.
Therefore, option C is correct.
Now let us consider option D.
D) \[\dfrac{8}{3}\]
Here, the numerator is 8 and the denominator is 3
Now we know that \[8 > 3\]
Therefore, the numerator is greater than the denominator.
Now we know that, proper fraction is the fraction in which the denominator is greater than the numerator.
Hence, the above given fraction is not a proper fraction.
Therefore, option D is incorrect.

Hence, options B and C are correct.

Note: Students should note that the value of a proper fraction is always less than 1 and an improper fraction is the fraction in which the numerator is greater than the denominator and its value if greater than 1 or equal to 1.