Partition a number line from 0 to 1 into fourths.Decompose 3/4 into 6 equal lengths.

Step 1
Partition a number line from 0 to 1 into fourths
1 into fourths--------> 1/4
(0)----------------(1/4)----------------(2/4)---------------(3/4)---------------(4/4)
(0)---------------------------------------------------------------------------------(1)


Step 2 
Decompose 3/4 into 6 equal lengths

Note that in the previous graph the number 3/4 is divided into 3 equal parts. so to divide it into 6 equal parts we will divide the space of 1/4 between 2 to obtain spaces of 1/8

(0)----------------(1/4)----------------(2/4)---------------(3/4)----------------(4/4)
(0)-----(1/8)-----(2/8)-----(3/8)-----(4/8)-----(5/8)----(6/8)-----(7/8)----(8/8)