How do you simplify #1/2*2/3*3/4#?
To multiply fractions , you multiply denominators and numerators separately.
which on simplifying gives answer;
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
After cancelling those 2's and 3's you are left with the following.
Now you no longer need to simplify the fraction. You have completed that simplification up front.