Divide Fractions by Fractions

1/6 divided by 1/3 divided by 2/5=? How do I work this out?

(1/6) / (1/3) / (2/5) = Turn division into multiplication, thus:

1/6 x 3/1 x 5/2 =(1x3x5) / (6x1x2) =15/12 =1 1/4

$\boxed{\color{red}\text{Dividing a number is same as multiplying its reciprocal}}$

$\boxed{\color{olive}\text{Division of a fraction: Exchange the denominator and the numerator and change}\\\color{olive}\div\text{into}\times.}$

$\boxed{\color{aqua}\text{If there exists a number x, its reciprocal is}\dfrac{1}{x}}$

$\quad\dfrac{1}{6}\div \dfrac{1}{3} \div \dfrac{2}{5}\\=\dfrac{1}{6}\times \dfrac{1}{\dfrac{1}{3}}\times\dfrac{1}{\dfrac{2}{5}}\\ =\dfrac{1}{6}\times 3 \times \dfrac{5}{2}\\=\dfrac{3\times 5}{6\times2}\\=\dfrac{5}{4}\\\color{red}OR\\=1\dfrac{1}{4}$