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

1 Answer

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.