Question

How do you divide fractions? (I have a lot of questions sorry if I ask a lot of things or dont understand.)

Answer 1

A very simple rule:

Whenever you a dividing a number (or fraction) by a fraction, you simply multiply the number (or fraction) by the reciprocal of the dividing fraction.

As an example, let's take a look at dividing a fraction by another fraction:

`(2)/(5)/(2)/(3)`

This division can be performed by multiplying 2/5th by the reciprocal of (2/3)rd, which is 3/2. Thus, it can be performed by:

`\begin{gathered} (2)/(5)/(2)/(3) \\ =(2)/(5)*(3)/(2) \\ =(2*3)/(5*2) \\ =(6)/(10) \\ =(3)/(5) \end{gathered}`