Question

A kitchen floor has 15 1/2 tiles in an area of 2 1/5 square feet. How many tiles are in one square foot

Answer 1

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.