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)