Question

How do you simplify `1/2*2/3*3/4`?

Answer 1

To multiply fractions , you multiply denominators and numerators separately.

`(1/2)*(2/3) *(3/4)`

`(1*2*3) / (2*3*4) = 6 / 24`

which on simplifying gives answer;

`6/24 = 1/4`

Another option is to complete of the cancellation of common factors before you begin the multiplication process.

These fractions have common factors of 2 and 3

`(1*2*3) / (2*3*4)`

After cancelling those 2's and 3's you are left with the following.

`(1) / (4)`

Now you no longer need to simplify the fraction. You have completed that simplification up front.