# How do you simplify  1/4 div 11/12 div 3/4?

Jun 1, 2016

$\frac{4}{11}$

#### Explanation:

Just to emphasis a point write as:

$\left(\frac{1}{4}\right) \div \left(\frac{11}{12}\right) \div \left(\frac{3}{4}\right)$

The $\div$ applies to what is immediately to its right.

The shortcut way to deal with this is to invert (turn upside down) and then multiply.

$\implies \left(\frac{1}{4}\right) \times \left(\frac{12}{11}\right) \times \left(\frac{4}{3}\right) = \frac{4}{11}$

The only purpose of the brackets is to differentiate between the values and the 'operation' applied to them.

I am using the term 'operator' to mean the 'actions' of:
add; subtract; multiply; divide and so on