Marking Fraction Lengths on the Number Line

We have marked lengths equal to 1, 2, 3, … units on the number line. Now, let us try to mark lengths equal to fractions on the number line.

What is the length of the blue line? 1213

Write the fraction that gives the length of the blue line in the box.1213

The distance between 0 and 1 is one unit long. It is divided into equal parts. So, the length of each part is 12 unit. So, this blue line is 12 unit long.

Now, can you find the lengths of the various blue lines shown below? Fill in the boxes as well.

1. Here, the fractional unit is dividing a length of 1 unit into three equal parts. Write the fraction that gives the length of the blue line in the box or in your notebook.

Write the fraction that gives the length of the blue line in the box2313

2. Here, a unit is divided into 5 equal parts. Write the fraction that gives the length of the blue lines in the respective boxes or in your notebook.

Write the fraction that gives the length of the blue lines in the respective missing fractions 2515, 4515

3. Now, a unit is divided into 8 equal parts. Write the appropriate fractions in your notebook.

2818, 4814, 6828

1. Can you show any other fraction between 0 and 1? Write five more fractions that you can show and depict them on the number line. YesNo

We can locate infinite100 numbers between 0 and 1.

Example:

(i)47

47 means parts out of parts.

(i)56

56 means parts out of parts.

(ii)34

34 means parts out of parts.

(iii)12

12 means parts out of parts.

(iv)78

78 means parts out of parts.