Question

A floor has 15 1/2 tiles in an area of 2 2/5 sqft how many tiles are in a square foot

Answer 1

Since in 2 2/5 sqft are 15 1/2 tiles, then in 1 square foot, there are:

`(15(1)/(2))/(2(2)/(5))`

tiles.

To compute the above division we transform the mixed fractions into improper fractions:

`\begin{gathered} 15\text{ }(1)/(2)=(31)/(2), \\ 2(2)/(5)=(12)/(5). \end{gathered}`

Therefore:

`(15(1)/(2))/(2(2)/(5))=((31)/(2))/((12)/(5))=(31*5)/(12*2)=(155)/(24)\text{.}`

Answer: 6 11/24 tiles.