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.
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)
