Given
fractional parts of a unit
Find
Determine what fraction of the whole region each region represents
Explanation
as we see in the above figure
total number of squares in the whole region = 24
in region 1
number of squares = 2
number of triangles = total number of half squares = 4
so total squares = 2 + 1/2*4 = 4
thus fraction of region 1 = 4/24 = 1/6
Region 2
Number of squares = 6
number of triangles = total number of half squares = 4
so total squares = 6 + 1/2*4 = 8
thus fraction of region 2 = 8/24 = 1/3
Region 3
Number of squares = 10
number of triangles = total number of half squares = 4
so total squares = 10 + 1/2*4 = 12
thus fraction of region 3 = 12/24 = 1/2
Final Answer
Therefore , fraction of the whole region each region are
region 1 = 1/6
region 2 = 1/3
region 3 = 1/2
