Question

In a class of 40 Students, $\dfrac{1}{5}$ of the total number of students like to study English. How many students like to study English?

Answer 1

Hint: The given problem is related to fractions. Evaluate the number of students that like to study English by multiplying the given fraction of students who like to study English with the total number of students in the class.

Complete step-by-step answer:

Before proceeding with the problem, let’s understand the concept of fractions. A fraction is defined as the amount of a part with respect to the whole value. For example: The ${{25}^{th}}$ part of the number 100 can be written as $\dfrac{25}{100}$ which can be further simplified to $\dfrac{1}{4}$ . The value written above is called the numerator and the value written below is called the denominator.

Now, coming to the question, we are given that the total number of students in the class is 40 and the number of students who like to study English is $\dfrac{1}{5}$ of the whole class. So, to find the number of students who like to study English, we will multiply the given fraction of students who like to study English with the total number of students in the class. So, the number of students who like to study English is equal to $\dfrac{1}{5}\times 40=8$ .
Hence, the number of students, in the class of 40, who like to study English is 8.

Note: Always be careful while simplifying fractions. We can only cancel out the factors which are the same in the numerator and the denominator. Also, we can only cancel out non-zero numbers.