# Math Labs with Activity – Divide a Thin Strip of Paper into Number of Equal Parts

## Math Labs with Activity – Divide a Thin Strip of Paper into Number of Equal Parts

OBJECTIVE

To divide a thin strip of paper into a given number of equal parts (say into 8 equal parts)

Materials Required

1. A sheet of ruled paper in which all the lines are parallel and equidistant
2. Given rectangular strip of paper
3. A geometry box

Theory
The Intercept theorem used in Activity 1 may also be applied to divide a thin strip of paper into a given number of equal parts.

Procedure
Step 1: Take the rectangular strip of paper which has to be divided into a given number of equal parts (say into 8 equal parts). Label it as ABCD as shown in Figure 2.1.

Step 2: Mark the lines of the ruled paper as 0,1,2,3,…, sequentially from top to bottom. Place the strip over the ruled paper such that the point A lies over the line marked 0 and the point B lies over the line marked 8 as shown in Figure 2.2.
Step 3: Mark the points of intersection of the side AB of the rectangular strip with the parallel lines of the ruled paper as X1, X2, X3, X4, X5, X6 and X7 as shown in Figure 2.2.

Step 4: Remove the paper strip from the ruled paper and draw the lines X1Y1,  X2Y2, X3Y3, X4Y, X5Y5, X6Y6 and X7Y7 parallel to the side BC passing through the points X1, X2, X3, X4, X5, X6 and X7.

Observations
The lines X1Y1,  X2Y2, X3Y3, X4Y, X5Y5, X6Y6 and X7Y7 divide the strip ABCD into 8 equal parts.

Result
The strip of paper is divided into 8 equal parts.

Remarks: The above method of division of a strip of paper into a desired number of equal parts can be used to compare fractions. A number of paper strips of equal length can be divided into different numbers of equal parts as shown below (in Figure 2.4).