Hector wants to tile his rectangular shed floor with rubber towels he found a company that will custom tile square 60 by 60. The length of the shed floor is 240 inches and the roof is 140 inches. What is the size length of the largest square tile Hector can use to tile the shed for so that there are no gaps or relapse in the entire floor is covered. The side length of the largest square tile Hector can use to tile his full shed is how many tile will have to need to cover his shed floor?

If the model is 1 1/2 inches tall and the actual statue is 5 1/4 feet tall, it means that the initial ratio is 1 1/2 : 5 1/4. to simplify it, firstly we need to find a common denominator, which will be 1 2/4 in this case, and then rewrite it as a ratio of mixed numbers:

1 2/4 : 5 1/4
6/4 : 21/4

now we can see that we can use one third of both sides to simplify the ratio:

2/4 : 7/4

we can further simplify it into:

1/2 : 7/4

which is:

1/2 : 1 3/4