First, let's simplify the given expression step by step:

7/20 (-3/17) (-56 2/33)

First, let's multiply the fractions together:

7/20 * (-3/17) = (-21/340)

Now, let's convert the mixed number into an improper fraction:

-56 2/33 = -56 + 2/33 = -1686/33 + 2/33 = -1684/33

Now, let's multiply the result from the fractions with the result from the mixed number:

(-21/340) * (-1684/33)

To multiply the fractions, multiply the numerators together and the denominators together:

(-21 -1684) / (340 33) = 35484 / 11220

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4:

35484 / 11220 = 8871 / 2805

So, the final simplified result of the expression is 8871 / 2805.