Question

Which of the following is an improper fraction?
A.

B.

C.

D.

Answer 1

Hint: In this type of question, we must know the difference between proper and improper fraction.
In proper fraction Numerator is less than denominator and in improper fraction Numerator is greater than denominator. We analyse all the options. We see whenever the numerator is greater or the denominator is greater.

Complete step-by-step solution:
We use the concept of improper fraction. If in a fraction, the Numerator is greater than the denominator it is called improper fraction.
We will check our options one by one.
So, let us start with our first option, in this option, our fraction will be \[\dfrac{3}{8}\], hence NumeratorNow, let us check our second option. Here, the whole part is shaded. So, whenever the whole part is shaded then fraction becomes one which comes in the category of proper fraction.
Now, let us check our Third option. Here fraction will be\[\dfrac{1}{4}\] because out of four equal parts only one part is shaded. Here NumeratorNow, let us check our Last option. Here we have two different types of shadings, hence it cannot be proper.

So, option D is our correct option.

Additional Information: The Improper fractions as name indicates that fractions are not done in a proper manner. In mathematics, In improper fraction, the numerator (or top number) is bigger than the denominator (bottom number). It is different from a proper fraction. In a proper fraction the top number is bigger than the top number.

Note: Two different types of shading in a figure cannot be considered as proper fractions so it will be improper. Also if the numerator is greater than the denominator it will be an improper fraction. Students must be clear about the concept of proper and improper fraction.