A rectangle is 1/2 red and 1/3 blue. Also, it has one green tile and one yellow tile. What could the rectangle look like? What fractional part is green? Yellow? Draw and write your reasoning.

Question

A rectangle is 1/2 red and 1/3 blue. Also, it has one green tile and one yellow tile. What could the rectangle look like? What fractional part is green? Yellow? Draw and write your reasoning.

Answer 1

1/2 is red 1/3 is blue

1-1/2-1/3 = 6/6-3/6 -2/6 = 1/6 is yellow or green

if the green and yellow tiles are the same size, then 1/12 is yellow and 1/12 is green

1/2 = 6/12 = 6 red tiles

1/3 = 4/12 = 4 blue tiles

6+4+1+1= 12 tiles total

the rectangle could be 4 by 3 tiles, 6 by 2 tiles or 12 by 1 tiles