Question

emma was using tiles with a side length of $\frac{5}{3}$ feet to cover her bathroom floor. emmas bathroom floor is $8\frac{1}{3}$ feet long. if she laid the tiles side by side without gaps or overlaps, how many tiles did she use to cover the length of the bathroom floor?
$8\frac{1}{3} div \frac{5}{3}$
$= 8\frac{1}{3} cdot \frac{3}{5}$
$= \frac{square}{square} cdot \frac{3}{5}$

Explanation:

Step1: Convert mixed number to improper fraction

$8\frac{1}{3} = \frac{8\times3 + 1}{3} = \frac{25}{3}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{25}{3} \div \frac{5}{3} = \frac{25}{3} \times \frac{3}{5}$

Step3: Simplify and calculate the product

$\frac{25}{3} \times \frac{3}{5} = \frac{25\times3}{3\times5} = 5$

Answer:

5