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# A quantity which expresses a part of the whole is called a or an(a) fraction (b) prime number (c) integer (d) None of these

Last updated date: 17th Jun 2024
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Hint:
Here, we need to complete the statement by choosing the correct option. We will use the definitions of a fraction, prime numbers, and an integer, with examples to check which of the given options is the correct answer.

Complete step by step solution:
We will check the definitions of each of the options to find the correct answers.
A fraction is a number which shows or represents a part of a group. It can be written as $\dfrac{a}{b}$, where $a$ is called the numerator and $b$ is called the denominator. The group is divided into $b$ equal parts. The fraction $\dfrac{a}{b}$ shows $a$ out of $b$ equal parts of the group.
For example: 105 out of 200 children can be represented as the fraction $\dfrac{{105}}{{200}}$.
Thus, option (a) is the correct answer.
We will also check the other options.
A prime number is a number which is divisible only by 2 numbers, that is by 1 and the number itself.
For example: 5 is a prime number because it is divisible by only 2 numbers only, that is 1 and 5.
Therefore, a prime number does not represent a part of a whole.
Thus, option (b) is incorrect.
An integer is a rational number that is not expressed as a fraction.
For example: 1, $- 1$, 3, $- 7$, are integers.
Integers can be positive or negative. Negative integers are the numbers $- 1$, $- 5$, $- 92$, $- 41$, etc.
Integers do not represent a part of a whole.

Thus, option (c) is incorrect.

Note:
Fractions can be either proper, improper, or mixed fraction. A proper fraction is a fraction whose denominator is greater than its numerator. An improper fraction is a fraction whose denominator is smaller than its numerator. A mixed fraction is a fraction in the form $a\dfrac{b}{c}$. Every mixed fraction $a\dfrac{b}{c}$ can be converted to an improper fraction $\dfrac{{c \times a + b}}{c}$.