Question

What is the difference between proper and improper fractions?

Answer 1

Hint: To solve this question we need to have the knowledge of the fraction and the type of the fraction. Fraction is defined as the part of a whole. The number at the bottom of the fraction is called denominator while the top part of the fraction is called numerator.

Complete step-by-step solution:
The question asks us to differentiate between the proper fraction and improper fraction. Starting with knowing about fractions. So in fraction the numerator basically denotes how many parts do we have, while in case of denominator it is basically how many parts how many equal parts is the whole divided into. Now talking of proper fraction it is defined as that kind of fraction whose numerator is smaller than that of the denominator. Also the numerator and denominator are equal. Example of proper fractions is $\dfrac{5}{9}$.
In the above fraction $5$ is the numerator and $9$ is the denominator, wherein $5<9$. Some other examples of the proper fraction are:
$\dfrac{3}{7}$ , $\dfrac{2}{5}$, $5$ and $\dfrac{8}{99}$
Now talking of improper fraction, so improper fraction are those kinds of fraction in which the denominator is greater than that of the numerator. Example for the improper fraction is $\dfrac{7}{2}$, in the above fraction $7$ is the numerator and $2$ is the denominator. Here $7>2$, so it is an improper fraction. For other examples of the improper fractions are:
$\dfrac{22}{5}$ , $\dfrac{5}{3}$ ,$\dfrac{71}{11}$ and $\dfrac{2}{1}$.

Note: The improper fraction can be converted into mixed fraction. Mixed fraction consists of a whole number and a fraction, where the fraction formed is a proper fraction. For example $\dfrac{11}{9}$ is a improper fraction, which could be written as $1\dfrac{2}{9}$ , where $1$ a whole number and $\dfrac{2}{9}$ is a proper fraction.