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