Let us learn how to represent Fractions on a number line. For this we will first check if given fraction number, which we need to represent on number line is a proper fraction or not. Thus we say that to mark a fraction on number line, we recall that fraction with Numerator < Denominator is a proper fraction and fraction with denominator < numerator is an improper fraction number. In case we have fraction as improper, we say that on dividing numerator by denominator, we will get a Whole Number, a remainder, which is a numerator and denominator will remain same.
In case the fraction is a proper fraction number, we say that fraction will exist between numbers 0 and 1. Also we say that to plot this proper fractions, we will divide the area between zero and 1 in equal parts which is equals to denominator of fraction.
Suppose we have a fraction 3/7, here we observe that fraction is a proper fraction number. So we will divide line between 0 and 1 in 7 equal parts ( which is the denominator), so we will mark third division to represent 3/7.
In order to represent improper fraction number on number line, we will first convert improper fraction in form of mixed fraction number and then marking of fraction number becomes easy.