Answer:
\(7\frac{1}{22}\)
Step-by-step explanation:
We have been given that a kitchen floor has \(15\frac{1}{2}\) tiles in an area of \(2\frac{1}{5}\) square feet.
To find the number of tile in one square foot, we will divide total number of tiles by total area as:
\(15\frac{1}{2}\div 2\frac{1}{5}\)
Convert mixed fractions into improper fractions:
\(\frac{31}{2}\div \frac{11}{5}\)
Now, we will convert the division problem to multiplication problem by flipping the 2nd fraction as:
\(\frac{31}{2}\times \frac{5}{11}\)
\(\frac{31\times 5}{2\times 11}\)
\(\frac{155}{22}\)
\(7\frac{1}{22}\)
Therefore, \(7\frac{1}{22}\) tiles are in one square foot.