Answer:
Explanation:
We already know how to represent whole numbers on the number line. Let us consider the image shown, here, the digits 0 and 1 are represented on the number line.
Representation of 0 and 1 on The Number Line
If we divide the number line into two equal parts, as shown in the figure below, what value does that mid-point hold? Half of what the graduation between 0 and 1 holds.
So, the point represents (1-0)/2 = ½
Fraction - Representation Of Fraction On The Number Line
Thus we saw, to represent a fraction on the number line, we need to divide the line segment between two whole numbers into n equal parts where n represents the denominator of the fraction. For example, if we have to represent the fraction 1/5 on the number line, hence, we need to divide the line segment between 0 and 1 into five equal parts, where the first point as shown in the figure represents the fraction 1/5, the second represents 2/5 and so on.
Fraction Representation
We must note that, 0/5 = 0 here and 5/5 = 1.
Here you have seen the representation of proper fraction on the number line. To represent improper fractions, you first convert them into mixed fractions. The same procedure, as shown above, is used with the whole number as the starting point.