How do you simplify $\frac{1}{2} \cdot \frac{2}{3} \cdot \frac{3}{4}$ $1/22/33/4$ ?

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Answer 1 · 2014-09-28T18:19:20

To multiply fractions , you multiply denominators and numerators separately.

$(\frac{1}{2}) \cdot (\frac{2}{3}) \cdot (\frac{3}{4})$ $(1/2)*(2/3) *(3/4)$

$\frac{1 \cdot 2 \cdot 3}{2 \cdot 3 \cdot 4} = \frac{6}{24}$ $(1*2*3) / (2*3*4) = 6 / 24$

which on simplifying gives answer;

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

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

$\frac{1 \cdot 2 \cdot 3}{2 \cdot 3 \cdot 4}$ $(1*2*3) / (2*3*4)$

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

$\frac{1}{4}$ $(1) / (4)$

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

How do you simplify 12⋅23⋅341/2*2/3*3/4?