Question

Below are two problems made by students to show fractional parts of a unit. Determine what fraction of the whole region each region represents.+ (Enter your answers as comma-separated.)

Answer 1

Given

fractional parts of a unit

Find

Determine what fraction of the whole region each region represents

Step-by-step 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