Theory:

Let us consider 34 and 34. First, let us plot  34.
                     
  • Here, the numerator \(3\) is less than the denominator \(4\).
  • Then the positive rational number will be between \(0\) and \(1\). 
  • Now, let us draw a number line and plot \(1\) and \(-1\). 
  • Then the number 34 has to lie somewhere between \(0\) and \(1\).
  • Now we divide the length between \(0\) and \(1\) into equal parts.
  • The Denominator gives us the number of equal parts(\(4\)).
  • It is \(4\), so we divide it into \(4\) equal parts.
num22.jpg
  • The numerator tells us the number of parts starting from zero.
  • Here, it is \(3\). So we mark the point \(3\) parts away from the zero as shown in the below figure.
num22 - Copy.jpg
 
Similarly, 34 can be marked using the same procedure because 34 is the corresponding value of 34.
  • We know that it lies between \(0\) and \(-1\). So, we divide it into four equal parts and mark \(3\) parts away from the zero, as shown in the below figure.
num22 - Copy - Copy.jpg