Question

frank has two same size rectangles divided into the same number of equal parts. one rectangle has 3/4 of the parts shaded, and the other has 1/3 of the parts shaded. Part A into how many parts could each rectangles be divided? show your work by drawing the parts of each rectangle Part B is there more than one possible answer to part A? if so, did you find the least number of parts into which both rectangles could be divided, explain your reasoning.

Answer 1

This question basically asks for the LCM of 3 and 5, which is 3 x 5 =15
This is the answer: 15
Check : The first rectangle had 1/3 shaded; ( one in every three parts)
So for 15 parts  altogether, 5 would be shaded ( 1/3 = 5/15)
The second rectangle had 2/5 shaded ( two for every five parts)
So for 15 parts altogether, 6 would be shaded (2/5 = 6/15)