Question

Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?

Answer 1

First divide 3.5 by 2 which equals 1.75. Then do 1.75*3 which equals 5.25. So he drinks 5.25 liters in one hour.

Answer 2

3.5 divided by 2/3
convert 3.5 to 3 and 1/2 then to 7/2

(7/2)/(2/3)
remember that
$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}$

so
$\frac{\frac{7}{2}}{\frac{2}{3}}=\frac{(7)(3)}{(2)(2)}=\frac{21}{4}=$
$\frac{20}{4}+\frac{1}{4}=$ 5 and 1/4 liters per hour or 5.25 liters per hour