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

Sep 28, 2014

To multiply fractions , you multiply denominators and numerators separately.

$\left(\frac{1}{2}\right) \cdot \left(\frac{2}{3}\right) \cdot \left(\frac{3}{4}\right)$

$\frac{1 \cdot 2 \cdot 3}{2 \cdot 3 \cdot 4} = \frac{6}{24}$

which on simplifying gives answer;

$\frac{6}{24} = \frac{1}{4}$

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

$\frac{1 \cdot 2 \cdot 3}{2 \cdot 3 \cdot 4}$

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

$\frac{1}{4}$

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