Leah has two same-size rectangles divided into the same number of equal parts. One rectangle has 1/3 of the parts shaded, and the other has 2/5 of the parts shaded. What is the least number of parts into which both rectangles could be divided?

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)

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