Question

Represent $ \dfrac{7}{4} $ on the number line.

Answer 1

Hint: First of all we will try to dissolve the given fraction to decimal form. For that we will divide
 $ 7 $ by $ 4 $ and we will try to find out the number and then we will see it is lying between these two numbers. After that we will magnify both numbers.
The decimal form of a fractional number can be obtained by dividing the numerator by the denominator. In our case the denominator is $ 4 $ . So, the decimal of the given fractional number can be obtained by the division of $ 7 $ by $ 4 $ .

Complete step by step solution:
We are given the number $ \dfrac{7}{4} $
First we will divide $ 7 $ by $ 4 $
Now we have $ \dfrac{7}{4} = 1.75 $
Now we got the number as $ 1.75 $ .
So this number lies between $ 1 $ and $ 2 $ .
Now we will take a number line with starting number as $ 1 $ and boundary number as $ 2 $ .
As the number is $ 1.75 $ .
So we will take \[.25\] as one unit
So in between $ 1 $ and $ 2 $ we have four divisions.

Hence point \[B\] is the required point.

Note: We will always try to find the nearest natural number and we will try to take one unit in such a way so that we will get a perfect point. As we have taken four divisions it is based on the fact that the denominator was $ 4 $ .In a fractional number is of the form $ \dfrac{a}{b} $ the top part is called the numerator, while the bottom part is called the denominator.