6th Class Mathematics Fractions Representation of Fractions on Number Line

   Representation of Fractions on Number Line

Fractions are greater than 0 but less than 1 come between 0 and 1. Number offractions can be obtained between 0 and 1 by dividing distance among them intorequired number of times. The following steps are used/or representation of fractions on number line:  

Step 1:   Draw a line and mark 0 on it.  

Step 2 :   If numerator of fraction that is to be represented on number line is greaterthan denominator then the given fraction is represented beyond thedistance of 0 to 1.  

Step 3:   If numerator is smaller than denominator then fraction comes between 0 and 1.

Fraction, \[\frac{9}{10}\] comes between 0 and 1 because numerator is smaller thandenominator.

Therefore, the following steps are used for representation of fraction \[\frac{9}{10}\] on number line:  

Step 1:   Draw the line and mark 0 on it.

Step 2:   Mark another point Ion the same line.      

Step 3:   Divide distance between 0 and 1 into 10 equal parts.

Step 3:   Represent the fraction \[\frac{9}{10}\] at the point of 9 on the number line whichhas been drawn in step 3 as shown in the following figure.                

Choose the correct option from the following for representation of fraction \[\frac{2}{3}\] on number line:

(a)                    

(b)

(c)                     

(d) all of these                

(e) None of these  

Answer: (c)

Explanation

The number line which has been given in the option (c)correctly represents the given fraction.