Question

Which of the following is not a proper fraction?
A.\[\dfrac{2}{3}\]
B.$\dfrac{3}{4}$
C.$\dfrac{5}{7}$
D.$\dfrac{6}{5}$

Answer 1

Hint: Here in this question we need to know the type and the meaning of the fraction. A proper fraction is a fraction in which the numerator is less than the denominator.We can check the fraction is a proper fraction if it does not divide the numerator by denominator and if the answer is greater than 1, then the fraction is proper fraction.Check all the options available in the question.

Complete step-by-step answer:
A fraction represents a part of a whole number or any number of equal parts. We read fraction as one-fourth, three-fifth
In fraction top number is called numerator and the below number called denominator. Denominator cannot be zero at any condition. There are six types of fraction in math. (i) proper fraction (ii) improper fraction (iii) mixed fraction (iv) like fraction (v) unlike fraction (vi) equivalent fraction
Proper fraction – proper fraction is a fraction in which the numerator is less than the denominator. ex- $\dfrac{1}{2},\dfrac{1}{8}$ or we can check the fraction is a proper fraction or not by dividing the numerator by denominator and if the answer is greater than 1, then the fraction is proper fraction.
Let’s check all the option given in the question
Divide the denominator by numerator for getting the number in decimal
A.$\dfrac{2}{3} = .666$
$.666 < 1$
B.$\dfrac{3}{4} = .75$
$.75 < 1$
C.$\dfrac{5}{7} = .71$
$.71 < 1$
D.$\dfrac{6}{5} = 1.2$
$1.2 > 1$
Here we can see that option D $\dfrac{6}{5}$is greater than 1

So, the correct answer is “Option D”.

Note:Students may get confused between the type of fraction. You must know each and every type of fraction definition and how to classify them. Check every option mentioned in the question and find it that it is greater or less than 1.